Top PSLE Mistakes
by Topic
The most common misconceptions Singapore primary-school students make on every PSLE topic. Distilled from 12,000+ MOE-aligned practice questions across P1–P6 English, Mathematics and Science.
Primary 1
EnglishCloze
- #1Misconception
'Run' is done on the ground using legs, not high in the sky.
- #2Partial logic
'Jump' goes up for a short time but cannot stay 'high in the sky'.
- #3Misconception
'Swim' is what we do in water, not in the sky.
- #4Misconception
There is no clue in the story that shows Mei Ling is happy. Heavy rain on the way home does not match 'happy'.
- #5Misconception
'Hungry' is about wanting food. The story is about rain, not food.
EnglishComprehension
- #1Misconception
This puts school before the bus stop. School comes last because Mei Ling needs the bus to reach school.
- #2Partial logic
You cannot be at school before walking to the bus stop. Mei Ling must take the bus first, then arrive at school.
- #3Misconception
You cannot walk to the bus stop with your school bag before you have packed it. The packing must happen at home, first.
- #4Misconception
Washing hands (A) before waking up (C) does not follow a logical morning routine. The sequence must begin with waking up.
- #5Partial logic
Brushing teeth (D) usually happens before washing hands (A) before a meal. Placing D after eating (B) is out of order.
EnglishGrammar
- #1Misconception
Incorrect spelling of the plural form.
- #2Misconception
The numbers are flipped. Two and three need plural nouns, but one needs a singular noun.
- #3Partial logic
Boxes and apple are correct, but two needs the plural sandwiches, not sandwich.
- #4Partial logic
Sandwiches is correct, but three needs the plural boxes, and one needs the singular apple.
- #5Misconception
Play is the base form. After the subject Aisha (singular), the past tense must be marked as played.
EnglishVocabulary
- #1Misconception
Frogs do not have wings to fly.
- #2Misconception
An elephant has a long trunk, not a long neck.
- #3Misconception
Monkeys swing on trees; frogs move by jumping.
- #4Misconception
This is how snakes move, not frogs.
- #5Misconception
A monkey has a long tail, not a trunk.
MathematicsAddition and Subtraction
- #1Misconception
30 + 40 ≠ 10. That would be 40 − 30. Add the tens: 3 + 4 = 7, so 30 + 40 = 70.
- #2Misconception
34 = 30 + 4. But the sum is 30 + 40, not 30 + 4. 70 is correct.
- #3Calc error
74 = 70 + 4. But 30 + 40 = 70 only. There are no extra ones.
- #4Misconception
15 is the total after buying. The starting number is 9, and he buys 6: 9 + 6.
- #5Misconception
Sam already has 9 and gets 6 more. 9 + 6 = 15 is the correct sentence.
MathematicsData Analysis
- #1Misconception
Subtracted Monday from Tuesday: 5 − 3 = 2. The question simply asks how many stickers Tuesday has — read it directly.
- #2Misconception
Read the MONDAY column (3 stars) instead of Tuesday. Re-read the question — it asks about Tuesday.
- #3Misconception
Added Monday and Tuesday stars: 3 + 5 = 8. The question only asks for Tuesday, so do not add Monday.
- #4Misconception
Counts are clear.
- #5Partial logic
Add all rows.
MathematicsLength and Mass
- #1Misconception
The student counted only the 3 marks after the 10 cm line, reading 10, 11, 12, 13 as 3 instead of reading the full measurement of 13 cm.
- #2Misconception
The student misread the ruler and stopped at the 8 cm mark instead of following the pencil all the way to its tip at 13 cm.
- #3Calc error
The student added 5 extra centimetres, reading 13 + 5 = 18 cm, perhaps counting past the tip of the pencil.
- #4Misconception
The student used 100 cm for 2 m instead of 200 cm, then calculated 100 - 75 = 25 cm. This shows confusion about how many centimetres are in 1 metre.
- #5Calc error
The student correctly converted 2 m to 200 cm but subtracted 10 cm too many, calculating 200 - 85 = 115 cm instead of 200 - 75 = 125 cm.
MathematicsMoney
- #1Calc error
This student counted Ahmad's coins as only the 50-cent and 5-cent coins (50¢ + 5¢ = 55¢), missing the 20-cent coin. Then 55¢ + 70¢ = $1.25.
- #2Calc error
This student missed Ahmad's 5-cent coin, counting only 50¢ + 20¢ = 70¢ for Ahmad. Then 70¢ + 70¢ = $1.40.
- #3Calc error
This student counted Siti's 2 ten-cent coins as 3 ten-cent coins (50¢ + 30¢ = 80¢ for Siti). Then 75¢ + 80¢ = $1.55.
- #4Partial logic
Counted only the 50-cent and 20-cent coins, forgetting the 10-cent coins.
- #5Calc error
Computed 1.00 + 0.60 + 0.10 instead of including 5 × 0.10.
MathematicsMultiplication and Division
- #1Partial logic
Wrote only the cookies on ONE plate, not all plates. Total = 3 plates × 2 cookies each = 6.
- #2Misconception
Wrote the number of PLATES instead of the total cookies. We need plates × cookies-per-plate.
- #3Misconception
Added instead of multiplied: 3 + 2 = 5. For equal groups, we multiply: 3 × 2 = 6.
- #4Calc error
Multiplied 2 by 3 to get 6, counting only 2 groups instead of all 4. There are 4 groups, so 4 × 3 = 12.
- #5Misconception
Added 4 and 3 to get 7. Multiplication means equal groups put together, not adding the group count to the group size. 4 groups of 3 means 3 + 3 + 3 + 3 = 12.
MathematicsMultiplication Tables
- #1Misconception
Added 3 and 4 to get 7 instead of multiplying. 3 × 4 means 4 added 3 times: 4 + 4 + 4 = 12.
- #2Calc error
Multiplied 3 × 3 = 9, using 3 as both factors. The question asks for 3 × 4: add 4 three times: 4 + 4 + 4 = 12.
- #3Calc error
Multiplied 4 × 4 = 16, using 4 as both factors. Remember 3 × 4 means 4 added 3 times: 4 + 4 + 4 = 12.
- #4Calc error
Computed 4 × 4, forgetting 5 boxes.
- #5Calc error
Computed 4 × 6, miscounted boxes.
MathematicsShapes and Patterns
- #1Misconception
Circle has no sides.
- #2Partial logic
You may have skipped one of the shapes. Re-add: triangle (3) + rectangle (4) + pentagon (5) + square (4) = 16.
- #3Calc error
You may have used pentagon as 3 sides (like a triangle) by mistake. A pentagon has 5 sides.
- #4Misconception
You may have used 6 for the pentagon (treated it like a hexagon). A pentagon has 5 sides, not 6.
- #5Misconception
4 equal sides, but angles not always right angles.
MathematicsTime
- #1Misconception
Swapped hands.
- #2Misconception
Clock shows 7.
- #3Misconception
Clock shows 9.
- #4Misconception
Clock shows 12.
- #5Misconception
Night = later pm.
MathematicsWhole Numbers
- #1Misconception
Not doubling.
- #2Misconception
28 comes before 29. We are looking for the number AFTER 29.
- #3Misconception
29 is the number itself. The number after 29 is the next number: 30.
- #4Calc error
31 comes after 30. The number immediately after 29 is 30.
- #5Misconception
28 is actually the smallest of the four numbers, not the second largest. Arrange all numbers from greatest to smallest before answering.
Primary 2
EnglishCloze
- #1Misconception
Cold weather calls for a jacket, not an umbrella. An umbrella does not warm you.
- #2Misconception
On sunny days people do not open umbrellas; umbrellas are used to keep rain off.
- #3Partial logic
Strong wind would damage an open umbrella, so people usually close umbrellas in wind. The clue points to rain.
- #4Misconception
Anger is shown by frowning or shouting, not by rubbing the tummy and staring at food.
- #5Misconception
Sleepiness is not linked to staring at food or skipping a meal; it is linked to tiredness.
EnglishComprehension
- #1Misconception
Eating an apple is not mentioned in the passage. Stay within the events described in the text.
- #2Misconception
The passage says Lily planted a SEED, not a tree. Read details carefully — 'seed' and 'tree' are different.
- #3Misconception
Picking a flower is not mentioned in the passage. Only actions described in the text can be answers.
- #4Misconception
Watching videos helped, but the key lesson is that she also undid her error and started again — perseverance is the central theme, not just video learning.
- #5Misconception
Priya undid her work and started again rather than giving up — the passage shows the opposite of giving up.
EnglishGrammar
- #1Misconception
'Some' is used for plural nouns.
- #2Misconception
'In' implies being inside an enclosed space, but books are usually placed on a surface.
- #3Partial logic
While possible, 'on' is the standard preposition for placing items on a flat surface like a table.
- #4Misconception
'Between' requires two or more objects to be placed amongst.
- #5Misconception
This is the present tense form.
EnglishVocabulary
- #1Misconception
A cousin is the child of an aunt or uncle.
- #2Misconception
Winning a medal is a positive event, so 'angry' is incorrect.
- #3Misconception
Winning a medal usually brings joy or pride, not fear.
- #4Misconception
'Sleepy' does not fit the context of a celebratory moment.
- #5Misconception
Gloomy means very sad or dark.
MathematicsAddition and Subtraction
- #1Misconception
It looks like the tens column was skipped. Only the hundreds (2 + 1 = 3) and units (4 + 8 = 12, write 2 carry 1) were added, giving 302. Always work through every column: units, tens, then hundreds.
- #2Calc error
You added the units correctly (4 + 8 = 12, write 2 carry 1), but forgot to add the carried 1 to the tens column. 3 + 5 = 8, not 9. Always remember to add the carry to the next column.
- #3Calc error
You correctly carried 1 from the units to the tens (3 + 5 + 1 = 9), but then carried an extra 1 into the hundreds column by mistake. There is no carry from the tens here, so hundreds = 2 + 1 = 3, not 4.
- #4Misconception
You rounded 39 up to 40 and got 75 − 40 = 35. But then you subtracted 1 again instead of adding it back. When you over-subtract by rounding up, you must add back the difference. 35 + 1 = 36, not 34.
- #5Misconception
You rounded 39 up to 40 and subtracted correctly: 75 − 40 = 35. But then you added 9 back instead of 1. When you round up by 1, you only add back 1, not the whole rounded amount. 35 + 1 = 36.
MathematicsData Analysis
- #1Misconception
Wrote the number of APPLE SYMBOLS without multiplying by the key (each apple = 2 fruits). Need 4 × 2 = 8.
- #2Calc error
Added the symbols instead of multiplying: 4 + 2 = 6. Each apple stands for 2, so multiply.
- #3Calc error
Mixed up Monday and Tuesday: added 4 (Mon apples) + 2 (Tue apples) and then doubled (×2). The question asks only Monday: 4 × 2 = 8.
- #4Misconception
Siti has fewest.
- #5Calc error
3 stars not 2.
MathematicsFractions
- #1Misconception
Selected the fraction with the SMALLEST denominator, thinking small denominator = small fraction. With same numerator, a smaller denominator actually means a LARGER fraction (1/2 is the biggest here).
- #2Misconception
Picked a middle value rather than the smallest. With same numerator, the fraction with the LARGEST denominator (8) is the smallest.
- #3Partial logic
Compared denominators but stopped before checking the largest one. 1/4 is smaller than 1/2 and 1/3, but 1/8 has a larger denominator and is smaller still.
- #4Misconception
Biggest to smallest.
- #5Misconception
Picked the unshaded count instead of the shaded count.
MathematicsLength and Mass
- #1Calc error
5th mark = 500.
- #2Calc error
Subtract not add.
- #3Misconception
Mass of a small coin — far too light.
- #4Misconception
Small biscuit — too light.
- #5Misconception
Small mango — too light for whole watermelon.
MathematicsMoney
- #1Misconception
Alice has $12.50, which is less than Bob's $15.20. Compare the dollar amounts first — $12 < $15.
- #2Partial logic
David has $15.02, which is close to Bob's $15.20 in dollars. Compare the cents: 20¢ > 02¢, so Bob has more.
- #3Misconception
Charlie has $12.05, the smallest amount. Possibly confused 'most' with 'least'.
- #4Partial logic
Correctly calculated the fifty-cent coins ($1.50) but took only one twenty-cent coin ($0.20) and ignored the two ten-cent coins altogether, giving $1.50 + $0.20 = $1.70.
- #5Calc error
Counted only 3 twenty-cent coins instead of 4, giving 3 × $0.20 = $0.60 instead of $0.80. Then added $1.50 + $0.60 + $0.20 = $2.30. Made an off-by-one error when counting the twenty-cent coins.
MathematicsMultiplication and Division
- #1Misconception
4 × 7 = 28, which is not 36. You may have recalled the wrong multiplication fact. Check: 4 × 9 = 36, so 36 ÷ 4 = 9.
- #2Partial logic
4 × 8 = 32, which is 4 short of 36. You found a close multiple but stopped one step too early. 4 × 9 = 36, so the answer is 9.
- #3Calc error
36 ÷ 3 = 12, but the question divides by 4, not 3. Make sure you use the correct divisor. 36 ÷ 4 = 9.
- #4Misconception
You added 6 + 4 + 5 = 15 instead of multiplying. When each level (boxes / packets / biscuits) groups items inside the next level, we multiply.
- #5Partial logic
You found the number of PACKETS (6 boxes × 4 packets = 24) but did not multiply by the 5 biscuits in each packet.
MathematicsMultiplication Tables
- #1Misconception
11 = 4 + 7. You added 4 and 7 instead of multiplying. Equal groups always mean multiplication: 4 × 7 = 28.
- #2Calc error
24 = 4 × 6. You may have used 6 tables instead of 7. Count the tables again — there are 7 tables, so 4 × 7 = 28.
- #3Calc error
32 = 4 × 8. You may have used 8 tables instead of 7. The question says 7 tables, so 4 × 7 = 28.
- #4Misconception
This adds 4 + 5 instead of multiplying. '4 packets of 5' means 4 groups of 5, which is multiplication.
- #5Calc error
This is 3 × 5, but Mei Ling bought 4 packets, not 3. Count the groups carefully.
MathematicsShapes and Patterns
- #1Misconception
360° is the angle sum of a quadrilateral. A hexagon's interior angles sum to 720°.
- #2Misconception
That describes a pentagon. A hexagon has SIX sides.
- #3Misconception
That describes a square or rhombus. 'Hexa-' means six.
- #4Misconception
6 faces but rectangles, not all square.
- #5Misconception
5 faces (1 square base + 4 triangles).
MathematicsTime
- #1Misconception
Swapped hands.
- #2Misconception
Read the number on the clock (3) as the number of minutes directly. Each number stands for 5 minutes, so 3 means 3 × 5 = 15 minutes.
- #3Calc error
Counted only 2 jumps of 5 (10) instead of 3. The minute hand at 3 means 3 × 5 = 15.
- #4Calc error
Counted to the wrong number — 20 minutes would be at the '4' on the clock, not the '3'. 3 × 5 = 15.
- #5Partial logic
Counted from 2:45 to 4:00 only (1 hour 15 minutes) and forgot to add the remaining 10 minutes from 4:00 to 4:10.
MathematicsVolume of Liquid
- #1Partial logic
Divided 15 by 5 to get 3 but stopped there, forgetting to multiply by 3. Finding 1/5 of 15 is only the first step — the answer is 3/5, so multiply 3 by 3.
- #2Calc error
Found 1/5 of 15 correctly (15 ÷ 5 = 3), then multiplied by 2 instead of 3, giving 6. The numerator of the fraction is 3, not 2.
- #3Misconception
Subtracted 3 from 15 to get 12, thinking '3/5 full' means '3 litres less than full'. The fraction 3/5 means 3 out of every 5 equal parts, not 3 litres subtracted.
- #4Misconception
Mass of a teaspoon — too little for a pail.
- #5Misconception
Half a litre — a drink bottle, not a pail.
MathematicsWhole Numbers
- #1Misconception
4 hundreds < 7.
- #2Misconception
4 hundreds > 3.
- #3Misconception
Saw 638 starts with 6 and assumed it was the largest, not comparing the tens digits 3 vs 8.
- #4Misconception
Picked 386 because 8 is the largest digit in the number, confusing digit value with number value.
- #5Misconception
Noticed all three numbers contain the digits 3, 6, 8 and assumed the numbers must be equal.
Primary 3
EnglishCloze
- #1Misconception
Annoyed describes irritation, not physical tiredness from running.
- #2Misconception
Excited is a positive feeling of anticipation; it does not match struggling to breathe after exercise.
- #3Misconception
Disappointed means feeling let down, which does not link to running ten laps.
- #4Partial logic
'So' shows a result. The rain is not a result of wanting to play; it interrupts the plan.
- #5Misconception
'And' joins two similar ideas. Here the two ideas contrast — wanting to play vs. rain stopping him — so a contrast word is needed.
EnglishComprehension
- #1Misconception
The reason is wrong. The passage does mention her younger brother. The statement is false for a different reason — she refused to give him money.
- #2Misconception
The passage clearly says Siti 'always said no' when her brother asked for money. She did not share with him, so this is incorrect.
- #3Partial logic
This is a general opinion, not supported by the passage. Also, Siti did not give her brother money, so the statement cannot be true.
- #4Misconception
A school trip is not mentioned anywhere in the passage; this answer is invented and not supported by the text.
- #5Misconception
Holidays are not mentioned in the passage; Alexa saved specifically to buy a present for her mother's birthday.
EnglishEditing
- #1Misconception
In British/Singapore English, collective nouns like 'committee' can take plural verbs ('the committee have decided' is acceptable). The actual error is 'were' after 'each', not 'have' after 'committee'.
- #2Misconception
Changing to 'have been' does not fix the error. 'Each' always takes a singular verb. The correct fix is 'each of the members was', not 'have been'.
- #3Misconception
While 'the committee have decided' is acceptable in Singapore English, the sentence is not correct as written because 'each of the members were' uses a plural verb with 'each', which is grammatically wrong.
- #4Misconception
'Committee' is spelled correctly — double m, double t, double e. This is a commonly misspelled word but it is correct here.
- #5Misconception
'Nominations' is spelled correctly — nominate + ions. No spelling error here.
EnglishGrammar
- #1Misconception
'Because' shows a reason.
- #2Misconception
'or' shows a choice.
- #3Misconception
'So' shows a result.
- #4Misconception
'And' adds similar ideas.
- #5Misconception
'Siti' is a singular subject; 'go' is for plural subjects.
EnglishVocabulary
- #1Misconception
Dashing is moving quickly and suddenly.
- #2Misconception
Sprinting is running very fast, which is noisy.
- #3Misconception
Strolling is a relaxed walk, not necessarily quiet.
- #4Misconception
A herd is for land animals like cows.
- #5Misconception
A flock is for birds or sheep.
MathematicsAddition and Subtraction
- #1Calc error
This is roughly School B's share (half of A). Solve the unit equation: 2u + u + (2u − 3 480) = 74 526, so 5u = 78 006, u = 15 601.20 — but this gives non-integer values. Re-check the constraint that A = 2B.
- #2Misconception
This is around (74 526 − 3 480) ÷ 3, treating the three schools as equal after one subtraction. School A is TWICE School B, not equal.
- #3Calc error
This is School A + 3 480, the value of School A's amount BEFORE accounting for School C's subtraction. Re-set up: B + 2B + (2B − 3 480) = 74 526.
- #4Calc error
Computed 320 − 175 = 145 cents correctly but added 10 extra cents through a units-place regrouping error, writing 155 cents = $1.55 instead of $1.45.
- #5Calc error
Misread $1.75 as $1.25 (confused the tens digit 7 with 2), then subtracted $3.20 − $1.25 = $1.95 instead of $3.20 − $1.75 = $1.45.
MathematicsAngles
- #1Calc error
Missed one corner.
- #2Misconception
Straight = 180°.
- #3Misconception
A pentagon has 5 corners, not 4. Even if some corners are right angles, a regular pentagon has angles of 108° at each corner, not 90°.
- #4Misconception
A triangle has only 3 corners, not 4. Even if one corner is a right angle, a triangle can never have 4 right angles.
- #5Misconception
A trapezium has 4 corners but typically only 2 are right angles (in a right trapezium). Not all 4 corners of a trapezium are right angles.
MathematicsArea and Perimeter
- #1Misconception
That is area.
- #2Partial logic
Right number, wrong unit.
- #3Misconception
Added only one length and one width: 12 + 8 = 20. Forgot that perimeter goes all the way around — a rectangle has two lengths and two widths.
- #4Calc error
Added all four sides but used 16 instead of 8 for the second width: 12 + 8 + 12 + 16 = 48.
- #5Misconception
Multiplied length × width to find area instead of perimeter: 12 × 8 = 96. The question asks for the distance around (perimeter), not the space inside (area).
MathematicsData Analysis
- #1Misconception
You subtracted Ali's books from Chloe's or compared the wrong students (6 − 4 = 2). The question asks about Bala and Chloe specifically.
- #2Misconception
You subtracted the wrong pair of students — 9 − 6 = 3 is the difference between Bala and Ali, not Bala and Chloe. Always re-read the question to check which two values to compare.
- #3Misconception
You added Bala's and Chloe's books together (9 + 4 = 13). The question asks how many MORE, which means you need to subtract, not add.
- #4Partial logic
This is the original average (80 ÷ 4 = 20), not twice it. The new target is 2 × 20 = 40.
- #5Partial logic
This is B = 80 − 18 − 22 − 15 = 25, the missing bar value. The question asks for the new target.
MathematicsFractions
- #1Misconception
Added separately.
- #2Partial logic
Not simplified.
- #3Misconception
Subtracted separately.
- #4Calc error
Calculation error.
- #5Misconception
Found the common denominator 8 correctly but forgot to convert the numerator of 1/4. Wrote 1/8 + 3/8 = 4/8 instead of 2/8 + 3/8 = 5/8. The numerator must be multiplied by the same factor as the denominator.
MathematicsGeometry
- #1Misconception
Meet at vertex B — perpendicular, not parallel.
- #2Misconception
Meet at vertex A — perpendicular, not parallel.
- #3Partial logic
BC∥DA is correct, but 'only' is wrong; AB∥CD also.
- #4Partial logic
Counted only the horizontal bars (2) and forgot that each horizontal bar pairs with each vertical bar separately.
- #5Calc error
Added the number of horizontal bars (2) and vertical bars (2), then subtracted 1, giving 2 + 2 − 1 = 3, instead of multiplying.
MathematicsLength and Mass
- #1Misconception
Not digit addition.
- #2Misconception
Forgot to convert 1 km into 1000 m and used only the 250 m part: 250 + 800 = 1050 m.
- #3Calc error
Added 1000 m for the 1 km but dropped the 250 m: 1000 + 800 = 1800, then mis-added an extra 50 to get 1850.
- #4Misconception
Converted 1 km 250 m correctly to 1250 m, but wrongly converted 800 m into 8000 m (treated each m as 10 m): 1250 + 8000 = 9250 m.
- #5Calc error
You added 250 + 875 wrongly. Re-check: 250 + 875 = 1125, not 1025.
MathematicsMoney
- #1Misconception
Added the dollars and cents in two separate columns but forgot to carry $1 when the cents exceeded 100. Computed dollars 5 + 3 = 8 and cents 45 + 80 = 125, then wrote 0.25 without adding the extra $1 to the dollar total. Result: $8.25.
- #2Calc error
Mis-added the cents: thought 45 + 80 = 115 instead of 125. So cents became $1.15 carried as $1 plus 15 cents. Dollars 5 + 3 + 1 (carry) = 9. Result: $9.15.
- #3Calc error
Got cents 45 + 80 = 125 correctly but only carried 10 cents to the dollar column instead of 100 cents (i.e. carried the digit 1 as 10¢). Cents kept as 25, dollars 5 + 3 + 1 = 9, then added the leftover 10¢: $9 + 0.35 = $9.35.
- #4Partial logic
Stopped after computing the total cost ($1.45 + $3.80 = $5.25) and chose that as the answer. Forgot the final step of subtracting the cost from the $20 Mei Ling started with. The cost is not the change.
- #5Calc error
Mis-added the cents in the cost: thought 45¢ + 80¢ = 135¢ instead of 125¢. Cost became $5.35; $20.00 − $5.35 = $14.65. Calc slip in the cents column.
MathematicsMultiplication and Division
- #1Partial logic
The student multiplied only the units: 6 × 7 = 42, forgetting to multiply the tens digit of 47.
- #2Misconception
The student added 6 + 47 = 53 instead of multiplying.
- #3Partial logic
The student multiplied 6 × 40 = 240 but forgot to add 6 × 7, ignoring the units digit of 47.
- #4Calc error
Mis-divided 324 ÷ 4 = 81 by mis-reading the hundreds digit of 364 as 2 instead of 6.
- #5Calc error
Computed 376 ÷ 4 = 94 by mis-reading the units digit of 364 as 6 instead of 4.
MathematicsMultiplication Tables
- #1Calc error
Used 9 × 8 = 72 but subtracted only 9 instead of 14 (mis-read the number given away).
- #2Partial logic
Forgot the second step entirely — gave the total 8 × 9 = 72 without subtracting the 14 given away.
- #3Misconception
Added 14 to 72 instead of subtracting, treating 'gives away' as 'receives more'.
- #4Misconception
Used only 7 × 6 = 42, ignoring the 9 biscuits per packet. All three numbers are needed: 7 × 6 × 9 = 378.
- #5Partial logic
Multiplied 6 × 9 = 54 biscuits in one bag, but forgot to multiply by the 7 bags. The total is 54 × 7 = 378.
MathematicsTime
- #1Calc error
Arithmetic error.
- #2Partial logic
Gave seconds in 1 minute, not 2. 1 min = 60 sec, so 2 min = 60 × 2 = 120 sec.
- #3Misconception
Used the wrong conversion (1 min ≈ 100 sec). 1 minute always equals 60 seconds; 2 × 60 = 120.
- #4Calc error
Doubled 100 (the wrong conversion) instead of doubling 60. The correct rule is 1 min = 60 sec, so 2 min = 120 sec.
- #5Calc error
Subtracted 10 min instead of correctly carrying over the hour: did 2:15 + 1:40 = 3:55 by mis-reading 1 h 50 min as 1 h 40 min.
MathematicsVolume of Liquid
- #1Calc error
The student counted only 1 small division above the 200 ml mark. Each division = 25 ml, so 1 division above 200 ml gives 200 + 25 = 225 ml. The water is at the 3rd division: 200 + 3 × 25 = 275 ml.
- #2Calc error
The student counted only 2 small divisions above the 200 ml mark instead of 3. Each division = 25 ml, so 2 divisions above 200 ml gives 200 + 50 = 250 ml. The water level is at the 3rd division: 200 + 75 = 275 ml.
- #3Misconception
The student read the nearest labelled mark (300 ml) without counting the smaller divisions between 200 ml and 300 ml. Each small division between 200 ml and 250 ml represents 25 ml, and the water is 3 divisions above 200 ml, giving 200 + 75 = 275 ml.
- #4Misconception
Treated 2 L as only 1 L (forgetting the bottle holds 2 L, not 1 L): 1000 + 450 = 1450 ml, then made a small slip 1500 - 1450 = 50 ml. Used the wrong number of litres.
- #5Calc error
Forgot to add the 450 ml part of the bottle volume: used 2 L = 2000 ml only, then mis-subtracted 2000 - 1500 = 500, mis-recorded as 550.
MathematicsWhole Numbers
- #1Calc error
Used a difference of 300 instead of 200: 4 200 - 300 = 3 900. Check by subtracting consecutive terms: 4 800 - 4 600 = 200, confirming the step is 200 not 300.
- #2Calc error
Used a difference of 250 instead of 200: 4 200 - 250 = 3 950. The correct step is 200 as shown by 4 600 - 4 400 = 200.
- #3Calc error
Used a difference of 100 instead of 200: 4 200 - 100 = 4 100. The pattern decreases by 200 each step, not 100.
- #4Misconception
Read the digit itself, not its place value. In 7091, the 7 is in the THOUSANDS place — its value is 7 × 1000 = 7000.
- #5Misconception
Treated the 7 as if it were in the tens place. In 7091, the 7 is on the far left — the thousands place.
ScienceCycles
- #1Misconception
Mosquitoes have a 4-stage life cycle.
- #2Misconception
Mosquitos have a 4-stage life cycle.
- #3Misconception
Butterflies have a 4-stage life cycle; cockroaches have 3 stages.
- #4Misconception
Butterflies have a 4-stage life cycle.
- #5Misconception
Butterflies have a 4-stage life cycle; cockroaches have 3.
ScienceDiversity
- #1Misconception
This is the function of the roots.
- #2Misconception
Reproduction is having young.
- #3Misconception
Mushrooms are fungi, not plants.
- #4Misconception
Fish have scales and live only in water.
- #5Misconception
Absorbing water and minerals from the soil is the function of the roots, not the stem.
ScienceInteractions
- #1Misconception
The student incorrectly believed that natural materials are attracted to magnets. Wood is not a magnetic material. Magnetic attraction depends on whether the material is iron, steel or nickel — not on whether it is natural.
- #2Misconception
North poles do not always attract. North poles attract south poles (unlike poles), but repel other north poles (like poles). Since attraction was observed, the poles must be unlike, so the right end of Magnet Q must be the south pole.
- #3Partial logic
South poles do not repel north poles — they attract them. Like poles repel. Unlike poles attract. This option correctly identifies the South pole but states the wrong reason.
- #4Misconception
Magnetic attraction is not random. The rule is definite: like poles (N–N or S–S) always repel; unlike poles (N–S) always attract. Since attraction was observed, the poles must be unlike.
- #5Misconception
Wood is not a magnetic material, so the wooden pencil will not be attracted to the magnet. Only the iron key is attracted.
Primary 4
EnglishCloze
- #1Misconception
'Prevented' means stopped completely; the passage says the decision WAS made (to delay), so the assessment did not prevent the decision — it triggered it.
- #2Partial logic
'Supported' means provided backing or endorsement; the committee made the decision in response to the findings, not because the findings endorsed a pre-existing choice.
- #3Partial logic
'Complicated' means made more complex; while the assessment added complexity, the passage describes the assessment as the direct trigger for the decision, making 'prompted' more precise.
- #4Misconception
Boring means uninteresting, but the cue is needing to reread for understanding, not lack of interest.
- #5Partial logic
Tiring suggests physical effort; rereading for clarity points to difficulty understanding, not fatigue.
EnglishComprehension
- #1Misconception
The paragraph does not suggest Jia Hui wanted to avoid playing; she was looking for a familiar face to steady her nerves.
- #2Misconception
Jia Hui had practised the piece for two months — she knows the title. Looking for the teacher is about seeking comfort, not reminding herself of the title.
- #3Misconception
Jia Hui's gesture is described in a nervous context — she is seeking support, not checking the teacher's attentiveness.
- #4Misconception
The passage states Fraser Brunner designed the Merlion. This detail IS mentioned.
- #5Misconception
The passage states the Merlion weighs 70 tonnes. This detail IS mentioned.
EnglishEditing
- #1Misconception
'Goes' is third-person singular; the subject 'My family and I' is plural — it should be 'go', not 'goes'.
- #2Misconception
'My family and I has gone' uses 'has' which is singular; the subject is plural. Also, 'every Sunday' indicates a habitual action, not a completed one.
- #3Misconception
'My family and I is going' uses 'is' which is singular; the subject is plural. Also, the time signal 'every Sunday' indicates habitual present, not a continuous action.
- #4Misconception
Changing to past perfect does not fix the grammatical error. The subject 'the news' is singular and requires 'has', not 'have' — the tense change is unnecessary.
- #5Misconception
'The news' is a singular noun (despite ending in -s) and requires a singular verb 'has caused', not 'have caused'.
EnglishGrammar
- #1Misconception
'Several' is used for countable nouns.
- #2Misconception
'Many' is used for countable nouns, but sugar is uncountable.
- #3Misconception
'A few' is used for countable nouns.
- #4Misconception
'Has' is present perfect singular.
- #5Misconception
'Have' is present perfect plural.
EnglishSynthesis
- #1Misconception
And simply adds information without capturing the concession (despite the obstacle) relationship; the three ideas are loosely connected rather than precisely integrated.
- #2Misconception
Although having is grammatically incorrect — although introduces a full clause, not a participial phrase (despite having is the correct form). Additionally, so it changed creates two separate ideas rather than integrating the third sentence as a relative clause.
- #3Misconception
Because introduces a cause — but having little funding is an obstacle, not the reason for the discovery. This option reverses the logical relationship from concession to cause.
- #4Partial logic
'So' shows the congestion reduction CAUSED the cost increase. But the two effects are independent trade-offs of the same policy, not one causing the other.
- #5Misconception
'Unless' introduces a condition meaning 'except if'. This changes the meaning to: the policy only reduced congestion if costs did NOT increase, which contradicts the two facts given.
EnglishVocabulary
- #1Misconception
Incorrect verb for this idiom.
- #2Misconception
'Put up' means to build or tolerate.
- #3Misconception
'Put away' means to store something in its place.
- #4Misconception
To search for information, not to check work.
- #5Misconception
To be careful or watch for danger.
MathematicsAngles
- #1Misconception
You read off the OUTER scale (which goes the opposite way) instead of the INNER scale. The question says one arm lines up with 0° on the INNER scale, so you must read the inner scale at the other arm. The outer scale shows 45° at the same spot, but the correct reading is 135°.
- #2Calc error
You computed 180° − 125° or read the outer scale and added 10°. The correct reading is the value on the inner scale where the second arm lands, which is 135°.
- #3Calc error
You misread the scale by 10°. The arm points to the 135° mark, not 145°. Take care to read the exact line on the protractor, not one tick further.
- #4Calc error
You used 90° − 55° = 35° instead of 145° − 90°. The 145° angle is the WHOLE that is being split into 90° (pole-to-ground) and the unknown part. So unknown = 145° − 90° = 55°, not 35°.
- #5Calc error
You may have computed 155° − 90° = 65° (using 155 instead of 145). Reread the question: the total angle is 145°, not 155°. So 145° − 90° = 55°, not 65°.
MathematicsArea and Perimeter
- #1Partial logic
Student divided the remaining area 84 by the length 12 to find a width of 7 cm, then subtracted from 10 to get the square side: 10 - 7 = 3 cm. This incorrectly treats the L-shape as a simple rectangle.
- #2Misconception
Student took the square root of the remaining area instead of the removed area: sqrt(84) = approx 9.2, rounded to 9 cm.
- #3Misconception
Student correctly found the removed area = 120 - 84 = 36 cm2, but reported the area value (36) as the side length instead of finding the square root.
- #4Misconception
42 cm is not correct. Check whether removing the corner notch actually changes the total perimeter — the two removed outer edges are replaced by two equal inner edges.
- #5Misconception
46 cm is too large. You may have added the notch edges on top of the original perimeter. When a corner notch is cut, the two new inner edges (3 cm and 4 cm) exactly replace the two outer edges that were removed, so the total perimeter stays the same.
MathematicsData Analysis
- #1Misconception
That was a decrease.
- #2Misconception
Confused 38 with 42, picking the second-highest value.
- #3Misconception
Picked the first name listed without checking the actual numbers.
- #4Misconception
Confused 40 with 42, picking a nearby high value.
- #5Calc error
Computed 360 − 280 = 80, taking Thursday (280) as the day with the fewest visitors. Thursday is not the lowest — Tuesday (180) is. Always scan ALL data points to find the true minimum.
MathematicsDecimals
- #1Partial logic
Not simplified.
- #2Misconception
Did not round.
- #3Calc error
This divides 75 by 25 correctly (75 ÷ 25 = 3) but divides 100 by 20 instead of 25 (100 ÷ 20 = 5). Both numerator and denominator must be divided by the same number.
- #4Misconception
This writes the digits 7 and 5 as numerator and denominator without using place value. 0.75 has two decimal places so the denominator must be 100.
- #5Partial logic
0.75 = 75/100 is correct as a fraction but not in simplest form. Divide both numerator and denominator by their HCF of 25: 75 ÷ 25 = 3 and 100 ÷ 25 = 4, giving 3/4.
MathematicsFactors and Multiples
- #1Partial logic
6 is a common factor of 36 and 48, but it is not the greatest. You found one valid group size but did not check whether a larger group size also works for both numbers.
- #2Misconception
9 is a factor of 36 (36 ÷ 9 = 4), but it is not a factor of 48 (48 ÷ 9 = 5 remainder 3). Always check that the number divides evenly into BOTH totals before choosing it as a common factor.
- #3Misconception
24 is a factor of 48 (48 ÷ 24 = 2), but it is not a factor of 36 (36 ÷ 24 = 1 remainder 12). Always check that the number divides evenly into BOTH totals before choosing it as a common factor.
- #4Misconception
12 is a multiple of 4 (12÷4=3 ✓) but it IS also a factor of 48 (48÷12=4 ✓). Both conditions must hold — it must be a multiple of 4 AND not a factor of 48. 12 fails the second condition.
- #5Misconception
16 is a multiple of 4 (16÷4=4 ✓) but it IS also a factor of 48 (48÷16=3 ✓). 16 fails the second condition.
MathematicsFractions
- #1Misconception
Subtracted separately.
- #2Misconception
Added separately.
- #3Partial logic
Added whole numbers (2 + 1 = 3) and fraction numerators (3 + 7 = 10) to get 3 10/8. Then correctly identified that 10/8 = 1 2/8, extracting the extra whole, but forgot to add 1 to the whole-number part, giving 3 2/8 instead of 4 2/8 = 4 1/4.
- #4Calc error
Converted 2 3/8 correctly to 19/8, but converted 1 7/8 incorrectly as (1 × 7 + 7)/8 = 14/8 instead of (1 × 8 + 7)/8 = 15/8. Added 19/8 + 14/8 = 33/8 = 4 1/8.
- #5Misconception
Added whole numbers (2 + 1 = 3) and fraction parts (3/8 + 7/8 = 10/8) correctly, but left the answer as 3 10/8 without converting the improper fraction part 10/8 into a whole number and a proper fraction.
MathematicsGeometry
- #1Partial logic
This answer finds the sum of one of each pair of faces (lb + bh + lh = 160 + 224 + 560 = 944) but forgets that a cuboid has 6 faces arranged in 3 identical pairs — the total must be multiplied by 2.
- #2Partial logic
This answer adds only the top/bottom faces and the two long side faces: 2(20 × 8) + 2(20 × 28) = 320 + 1120 = 1440. It leaves out the two short side faces (8 × 28), which are also part of the net.
- #3Partial logic
This answer includes the two short side faces and the two long side faces: 2(8 × 28) + 2(20 × 28) = 448 + 1120 = 1568. It leaves out the two top and bottom faces (20 × 8), which are also part of the net.
- #4Misconception
Different views of a rectangular prism show different 2D shapes depending on the viewing angle.
- #5Misconception
The front view is not always a square; it depends on the prism's dimensions.
MathematicsMoney
- #1Misconception
You may have calculated the remaining money but expressed it backwards.
- #2Misconception
You may have forgotten to add the book and game costs.
- #3Misconception
This would be true if his starting amount was different.
- #4Calc error
Made an arithmetic slip adding $24.30 + $7.60, computing $32.10 instead of $31.90, then subtracted: $50.00 − $32.10 = $17.90.
- #5Partial logic
Added only the book and ruler ($14.50 + $9.80 = $24.30) and subtracted from $50.00, forgetting to include the water bottle: $50.00 − $24.30 = $25.70.
MathematicsMultiplication and Division
- #1Calc error
Estimated one fewer box than the correct answer, perhaps from rounding down one too many times.
- #2Misconception
Confused the number of biscuits per box (8) with the answer, reversing the divisor and quotient.
- #3Misconception
Multiplied 8 × 8 = 64 instead of dividing, confusing the operation needed when grouping items equally.
- #4Misconception
Multiplied only the hundreds and units (200 × 4 = 800, 3 × 4 = 12) and forgot to multiply the tens digit (10 × 4 = 40), giving 800 + 12 = 812.
- #5Calc error
Multiplied the hundreds and tens correctly (200 × 4 = 800, 10 × 4 = 40) but used only the units digit of 3 × 4 = 12, writing 2 instead of 12. This gave 800 + 40 + 2 = 842 instead of 852.
MathematicsPie Charts
- #1Misconception
Used the Kaya toast percentage (20%) instead of working out the unknown slice. 20% × 40 = 8. Forgot that the unknown slice must be calculated by subtracting the known slices from 100%.
- #2Misconception
Used the Pandan cake percentage (30%) instead of finding the unknown slice. 30% × 40 = 12. Confused which slice the question is asking about.
- #3Partial logic
Added the three KNOWN percentages (25 + 30 + 20 = 75%) and computed 75% of 40 = 30. This gives the total of the other three groups, not the Ondeh-ondeh slice.
- #4Misconception
This answer confuses the percentage label with the number of students. Football is 40% of the students, but 40% does not mean 40 students. You must calculate 40% × 200 to find the actual count.
- #5Calc error
This answer comes from reading Football's percentage as 30% instead of 40%, then calculating 30% × 200 = 60. Check the pie chart label carefully — Football is 40%, not 30%.
MathematicsSymmetry
- #1Misconception
A square has 4 lines of symmetry (vertical, horizontal, and 2 diagonals).
- #2Misconception
An equilateral triangle has 3 lines of symmetry, not 1.
- #3Misconception
This would be a rectangle with length ≠ width, which has only 2 lines of symmetry (vertical and horizontal).
- #4Misconception
While M might look like it could be symmetric, the bottom points are not aligned symmetrically.
- #5Misconception
The letter P is not symmetric because the bump is on one side only.
MathematicsTime
- #1Misconception
Subtracted the two clock times directly without accounting for the shift crossing midnight: 10:30 − 6:15 = 4 h 15 min. This ignores the fact that 6:15 a.m. is on the next day.
- #2Partial logic
Stopped at 6:00 a.m. and ignored the final 15 minutes. 1 h 30 min (10:30 p.m. to midnight) + 6 h (midnight to 6:00 a.m.) = 7 h 30 min.
- #3Calc error
Counted 10 p.m. to midnight as a full 2 hours instead of 1 hour 30 minutes (the shift starts at 10:30 p.m., not 10:00 p.m.). 2 h + 6 h 15 min = 8 h 15 min.
- #4Calc error
Used only 40 minutes for the second leg instead of 1 hour 30 minutes (dropped the 1 hour). 8:15 + 50 min + 20 min + 40 min = 8:15 + 1 h 50 min = 10:05 a.m.
- #5Partial logic
Omitted the 20-minute stopover at Jurong East. Added only the two travel legs: 8:15 + 50 min = 9:05; 9:05 + 1 h 30 min = 10:35 a.m.
MathematicsWhole Numbers
- #1Misconception
Rounded to the nearest fifty instead of the nearest hundred: 47 is closer to 50 than to 0, so the student stopped at 3 850. To round to the nearest hundred, examine only the tens digit (4 < 5), which means round down to 3 800.
- #2Misconception
Looked at the ones digit (7 ≥ 5) instead of the tens digit (4 < 5). Rounding to the nearest hundred requires examining the tens digit. Since the tens digit is 4, which is less than 5, round down to 3 800.
- #3Misconception
Rounded to the nearest thousand instead of the nearest hundred. While 3 847 does round to 4 000 to the nearest thousand (hundreds digit 8 ≥ 5), the question asks for nearest hundred — the answer is 3 800.
- #4Calc error
This is from a wrong difference progression. T1=5, diff×2 sequence: 3, 6, 12, 24, 48, 96. T7 = 5 + 3 + 6 + 12 + 24 + 48 + 96 = 194 ≈ 197.
- #5Calc error
Approximate. Compute term by term: T1=5, T2=8 (diff 3), T3=14 (diff 6), T4=26 (diff 12), T5=50 (diff 24), T6=98 (diff 48), T7=194 ≈ 197.
ScienceCycles
- #1Misconception
Melting is solid to liquid.
- #2Misconception
Freezing is liquid to solid.
- #3Misconception
Evaporation is liquid to gas.
- #4Misconception
Melting describes a solid changing into a liquid, not liquid water disappearing on a warm day.
- #5Misconception
Freezing turns liquid water into ice and requires very cold temperatures; it does not make a puddle disappear.
ScienceEnergy
- #1Misconception
Wood is a poor conductor of heat.
- #2Misconception
This would make the shadow smaller.
- #3Misconception
Plastic is a poor conductor of heat.
- #4Misconception
This is the freezing point of water.
- #5Misconception
Eyes do not produce light; they receive it.
ScienceMatter
- #1Misconception
Water is a liquid and takes the shape of its container.
- #2Partial logic
This is the total volume of water and stone.
- #3Misconception
Liquids have a definite volume.
- #4Misconception
Gases do not have a definite volume.
- #5Misconception
Air occupies space and cannot be compressed to zero volume.
ScienceSystems
- #1Misconception
This is the function of the large intestine.
- #2Misconception
This happens in the large intestine.
- #3Misconception
This is the function of the roots.
- #4Misconception
This happens in the small intestine.
- #5Misconception
This happens in the mouth.
Primary 5
EnglishCloze
- #1Misconception
Scolded means to tell off; this contradicts 'outstanding performance' and 'presented a medal'.
- #2Misconception
Reminded means to bring something to mind; it does not match a celebratory medal presentation.
- #3Partial logic
Interviewed means to ask questions; it does not show approval of outstanding performance.
- #4Misconception
'Bring' is the base form of the verb. In an inverted conditional ('Had + subject + past participle'), the verb must be in the past participle form. 'Bring' is not a past participle; 'brought' is.
- #5Misconception
'Brings' is the simple present third-person form. The sentence uses an inverted past perfect conditional structure ('Had Sara ___'), which requires the past participle, not the present tense.
EnglishComprehension
- #1Misconception
'Them' does not refer to 'mistakes'. Mistakes are not the subject that struggles, and giving up on mistakes does not make contextual sense.
- #2Misconception
'Them' does not refer to 'marked scripts'. Scripts are objects; the pronoun 'they' in the same sentence ('when they struggled') must refer to people who can struggle.
- #3Misconception
'Them' cannot refer to 'difficult topics' because the sentence says he never gave up on 'them' even when 'they struggled' — topics cannot struggle. The referent must be people.
- #4Misconception
The passage says Mr Tan encouraged her; parental pressure is not mentioned. Wei Lin chose to enter because of the personal significance of her story.
- #5Misconception
The passage shows Wei Lin prepared deeply and found the topic personally meaningful — this is not the behaviour of someone looking for an easy option.
EnglishEditing
- #1Misconception
'Are' is plural present; 'the number' is a singular noun phrase.
- #2Misconception
'Were' is plural past; the subject is singular and 'this year' indicates a present-perfect-style increase, not simple past.
- #3Misconception
'Have been' is plural; despite the nearby plural 'students', the head subject 'the number' is singular.
- #4Misconception
'Have reviewed' is plural present perfect — wrong on number (subject is singular) and wrong on aspect (the review is ongoing, signalled by 'which begins next term').
- #5Misconception
'Were reviewing' is plural past; the subject is singular and the relative clause 'begins next term' anchors the action in the present.
EnglishGrammar
- #1Misconception
'They' is used for more than one person.
- #2Misconception
'It' is used for things or animals.
- #3Misconception
'Whose' shows possession.
- #4Misconception
'He' is used for a boy, but Siti is a girl.
- #5Misconception
'It' is used for animals or objects, not people.
EnglishSynthesis
- #1Misconception
'Will' is not backshifted. In reported speech with a past reporting verb ('announced'), 'will' must shift to 'would'.
- #2Misconception
'Had inspected' is past perfect, used to backshift past simple or present perfect. The original 'will' (future) backshifts to 'would', not past perfect.
- #3Partial logic
'Would have inspected' is the past conditional/perfect form, suggesting the inspection did not happen. The original 'will inspect' is a simple future, which backshifts to 'would'.
- #4Misconception
Missing the auxiliary verb 'be'. Passive voice always needs a form of 'be' before the past participle.
- #5Misconception
Wrong tense. The active sentence is past simple (cooked), so the passive must also be past: 'was cooked', not present 'is cooked'.
EnglishVocabulary
- #1Misconception
Incorrect idiomatic phrase.
- #2Misconception
'Vibrant' means full of energy or bright, which does not fit the context.
- #3Partial logic
'Vigilant' means watchful for danger, which is secondary to the bravery shown here.
- #4Misconception
'Versatile' means able to adapt to many functions, which is irrelevant to bravery.
- #5Misconception
'Put up' means to construct or tolerate.
MathematicsAngles
- #1Partial logic
Correctly found x = 21 and calculated angle AOB = 3 × 21 = 63°, but reported angle AOB instead of angle A'OB. These two angles are supplementary, not equal.
- #2Partial logic
Found the sum 3x + 2x = 5x = 105 and reported this as the answer, rather than using it to solve for x and then computing angle A'OB.
- #3Calc error
Found angle BOC = 2 × 21 = 42° and computed 180° − 42° = 138°, subtracting the wrong angle from 180° to find angle A'OB.
- #4Misconception
Assumed all four angles of the kite are equal, like a square, so wrote 78°.
- #5Misconception
Added the two top angles (78° + 78° = 156°) and used that sum as one bottom angle.
MathematicsArea of Triangle
- #1Misconception
Forgot to multiply by ½. Area of a triangle = ½ × base × height, not base × height.
- #2Partial logic
You gave the area of triangle DPC (the smaller triangle), not triangle APB.
- #3Misconception
You assumed P sits at the midpoint between AB and DC, giving each triangle the same height of 4 cm: ½ × 12 × 4 = 24. The condition 'APB is twice DPC' means the heights split BC in a 2 : 1 ratio.
- #4Misconception
You gave half the rectangle area (96 ÷ 2). Triangles APB + DPC together cover only half the rectangle, but APB alone is 2/3 of that half = 32 cm² — not the whole half.
- #5Calc error
Computed the area of the cut-out triangle (½ × 8 × 6 = 24 cm²) and the area of the rectangle (12 × 8 = 96 cm²), then subtracted twice (96 − 24 − 24 = 48).
MathematicsAverage
- #1Misconception
This is the total, not the average.
- #2Misconception
Confused the new average (20 kg) with the answer to the question.
- #3Misconception
Confused the original average (24 kg) with the heaviest box itself.
- #4Partial logic
Computed the total mass of the remaining 5 boxes (5 × 20 = 100 kg) and gave that as the heaviest box mass, confusing total with a single value.
- #5Calc error
Divided total by 5 instead of 4 days.
MathematicsDecimals
- #1Calc error
Divided by 100 instead of 1000.
- #2Calc error
Divided by 10000 instead of 1000.
- #3Misconception
Divided by 10 instead of 1000.
- #4Misconception
Changed only the unit label without performing either conversion, leaving the number unchanged at 4.85.
- #5Calc error
Correctly converted to mm (48.5 mm) but then divided by 100 instead of 1 000: 48.5 ÷ 100 = 0.485 m, confusing the mm-to-m factor with the cm-to-m factor.
MathematicsFractions
- #1Calc error
Confused 1/2 of 2/3 with 1/2 × 1/3.
- #2Misconception
Added across.
- #3Misconception
Added with common denominator; 'of' means multiply.
- #4Calc error
Multiplied 2 × 4 = 8 then subtracted 1 instead of adding.
- #5Partial logic
Forgot to add the numerator 1.
MathematicsGeometry
- #1Misconception
Computed 90° − 72° = 18°, mistakenly assuming the angle is the complement.
- #2Misconception
Assumed angle ABC equals angle DAB because they are both angles of the parallelogram (confusing adjacent with opposite angles).
- #3Misconception
Doubled angle DAB (2 × 72° = 144°), perhaps confusing with an exterior or reflex relationship.
- #4Misconception
Sums to 190°, exceeds 180°.
- #5Misconception
Sums to 170°, not 180°.
MathematicsLength and Mass
- #1Calc error
Computed 3 × 250 = 750, then divided by 300 instead of 1000 when converting grams to kilograms. The conversion factor is 1 kg = 1000 g, not 300 g.
- #2Misconception
Multiplied 3 × 250 = 750 correctly but wrote the answer as 750 kg without converting grams to kilograms. Remember: 1 kg = 1000 g, so divide by 1000.
- #3Partial logic
Converted one packet correctly (250 ÷ 1000 = 0.25 kg) but forgot to multiply by the number of packets. The total mass covers all 3 packets.
- #4Calc error
Calculated correctly as 4 m 10 cm = 410 cm, but forgot to include the 10 cm remainder when converting back from centimetres to metres.
- #5Partial logic
Subtracted the cut length (1 m 80 cm) from only the first piece (3.5 m − 1 m 80 cm = 1 m 70 cm), then forgot to add back the second piece (240 cm).
MathematicsMoney
- #1Calc error
You computed the cost of beef as 2.5 x $14.20 = $35.50, but then subtracted $35.50 + $48.60 by mistake. The chicken cost is $50.40, not $48.60.
- #2Misconception
You computed 100 - 6 x $8.40 - 2 x $14.20 = 100 - 50.40 - 28.40 = $21.20 (and miscopied). Re-check: beef weight is 2.5 kg, not 2 kg.
- #3Partial logic
You found only the change after paying for chicken (100 - 50.40 = 49.60), forgetting to subtract the beef.
- #4Misconception
This comes from subtracting only one item: $25.00 − $12.50 = $12.50, then making an arithmetic slip, or subtracting $25.00 − $8.75 − $13.50 incorrectly. Both items must be added together first.
- #5Calc error
This comes from adding $12.50 + $9.00 = $21.50 and then $25.00 − $21.50 = $3.50. The cost of the notebook was $8.75, not $9.00.
MathematicsPercentage
- #1Misconception
You found 20% of 750 instead of 40%. 100% - 60% = 40%, not 20%.
- #2Calc error
You computed 750 - 500 by mistakenly using 500 as the girls (perhaps 2/3 of 750). 60% of 750 is 450, not 500.
- #3Misconception
450 is the number of GIRLS (60% of 750). The question asks for boys.
- #4Partial logic
$90 is the discounted price BEFORE adding GST. You forgot the 9% GST.
- #5Misconception
You added 9% GST to $120 ($120 + $10.80) and got close to $130.80, but rounded. The discount must come first.
MathematicsRate
- #1Calc error
Used 2.25 × 24 = 54, treating the time as 2.25 minutes instead of 2.25 hours.
- #2Calc error
Used 24 × 10 = 240, treating the time as 10 minutes.
- #3Calc error
Converted 2 hours 15 minutes to 225 minutes instead of 135: 225 × 24 = 5400.
- #4Calc error
Solved 0.45c = 14.40 - 4, then divided by 0.40 incorrectly (got 30 by rounding the result).
- #5Misconception
Assumed all 80 pages were colour, then subtracted (14.40 / 0.45 = 32) without accounting for the cheaper black-and-white pages.
MathematicsVolume
- #1Calc error
Used the breadth multiplied by the height (25 × 30 = 750 cm²) as the base area instead of length × breadth (40 × 25 = 1 000 cm²), giving 3 000 ÷ 750 = 4 cm.
- #2Calc error
Halved the length when finding the base area (20 × 25 = 500 cm²) and divided the block volume by this incorrect area: 3 000 ÷ 500 = 6 cm.
- #3Partial logic
Correctly found the rise of 3 cm but then added it to the existing water height of 12 cm, giving the new water level (15 cm) instead of the rise.
- #4Misconception
Added the three dimensions (8+5+3 = 16) instead of multiplying.
- #5Partial logic
Used only 8×5 = 40, forgetting the height.
MathematicsVolume of Liquid
- #1Misconception
Used only the base dimension 25 cm and the height 18 cm, multiplying 25 × 18 without the other base dimension.
- #2Calc error
Calculated volume correctly (18,000 cm³) but made an error in the conversion: 18,000 ÷ 800 instead of ÷ 1,000.
- #3Calc error
Computed the volume in cm³ (18,000) but forgot to divide by 1,000 to convert to litres.
- #4Calc error
Used 40% height not 60%.
- #5Calc error
Used full height incorrectly with 60% factor.
MathematicsWhole Numbers
- #1Calc error
Forgot to apply the $5.00 voucher (computed 50 - (3 x 7.50 + 2 x 4) = 50 - 30.50 = 19.50, then arithmetic slip to 14.50).
- #2Misconception
Added the voucher to the cost instead of subtracting it: 50 - (22.50 + 8 + 5) = 17.50.
- #3Partial logic
Computed 50 - 3 x 7.50 - 5 = 22.50, missing the magazines purchase entirely.
- #4Misconception
This answer treats all operations as left-to-right addition and subtraction: 6 + 3 = 9, 9 + 4 = 13, 13 − 2 = 11. It incorrectly ignores the multiplication sign between 3 and 4. Multiplication must be performed BEFORE addition and subtraction.
- #5Misconception
This answer adds 6 + 3 first to get 9, then multiplies by 4 to get 36, then subtracts 2 to get 34. This ignores the order of operations — you must do multiplication BEFORE addition. The correct method is: 3 × 4 = 12 first, THEN 6 + 12 − 2 = 16.
ScienceCycles
- #1Misconception
The anther produces pollen grains.
- #2Misconception
The ovary develops into the fruit.
- #3Misconception
Collection refers to liquid water pooling in reservoirs or oceans. The photo shows water in the gaseous state rising into the air.
- #4Misconception
Precipitation refers to rain, snow or hail falling from clouds. The photo shows vapour going UP from a hot surface, not water falling down.
- #5Misconception
Condensation is the reverse process. It happens when water vapour COOLS down (e.g. droplets forming on a cold glass), not when a hot soup releases vapour upwards.
ScienceSystems
- #1Misconception
Plastic is an electrical insulator.
- #2Misconception
Wood is an electrical insulator.
- #3Misconception
The cell wall provides structure and support.
- #4Misconception
Lungs are for gas exchange, not pumping blood.
- #5Misconception
Glass does not conduct electricity.
Primary 6
EnglishCloze
- #1Misconception
'Complete' is the base form used for imperatives or infinitives, not for a third-person singular present tense statement.
- #2Misconception
'Completed' is past tense; the sentence describes a regular evening routine (present simple), not a past event.
- #3Misconception
'Completing' is the present participle and requires an auxiliary verb such as 'is' before it.
- #4Misconception
Accepted means to receive or agree, but the cue 'in detail so that commuters understand' calls for clarifying speech.
- #5Misconception
Cancelled means to call off; the policy is being announced, not withdrawn.
EnglishComprehension
- #1Partial logic
Tim is the one who passed the trophy away — the gesture suggests the moment of recognition shifts to Jun Jie. The smile and thanks are more naturally attributed to the recipient of the trophy.
- #2Misconception
'He' is a singular pronoun referring to one person. The judges are a group and were just mentioned as the object of the thanking, not as the one doing the thanking.
- #3Misconception
The principal is not mentioned anywhere in this passage. Pronoun referents must come from nouns already present in the text.
- #4Partial logic
The pupil selected a statement that is partially false. The passage says Ahmad felt 'nervous but confident' — both emotions are mentioned, so saying he felt 'only nervous' contradicts the passage.
- #5Misconception
The pupil misread the preparation duration. The passage states Ahmad prepared for 'three weeks', not two weeks.
EnglishEditing
- #1Misconception
This spelling replaces the final '-ary' with '-ery'. The correct ending is '-ary': n-e-c-e-s-s-a-r-y.
- #2Misconception
This spelling doubles the wrong consonant ('ss' at the start) and omits the double 's' in the correct position. The correct pattern is one 'c' followed by double 'ss': n-e-c-e-s-s-a-r-y.
- #3Misconception
This spelling doubles the 'c' instead of the 's'. In 'necessary', only the 's' is doubled ('ss'), not the 'c': n-e-c-e-s-s-a-r-y.
- #4Misconception
'Had' shifts the sentence to simple past tense, but the sentence is in present tense ('submitted' is already the past action being described; the linking verb must match the subject in present tense). The student has confused tense correction with subject-verb agreement correction.
- #5Misconception
'Having' creates a participle phrase, not a finite verb, leaving the sentence without a main verb. The student may have confused a continuous form with a corrected singular form.
EnglishGrammar
- #1Misconception
Grammatical error; 'did' must be followed by the base form 'reach'.
- #2Partial logic
Incorrect word order; inversion is required after 'Scarcely'.
- #3Misconception
Incorrect tense and word order.
- #4Misconception
Incorrect auxiliary verb.
- #5Partial logic
'Who' is used as a subject; however, here the pronoun follows the preposition 'to', requiring an object form.
EnglishSynthesis
- #1Misconception
Simple past 'checked' belongs to the second conditional (present unreal). The result clause uses 'would not have been' (past unreal), so the if-clause must be past perfect.
- #2Misconception
'Would check' is a result-clause form, not an if-clause form. The if-clause of a third conditional uses past perfect, never 'would'.
- #3Partial logic
'Would have checked' belongs in the result clause of a third conditional, not in the if-clause. Putting 'would' in the if-clause is a structural error.
- #4Misconception
'Exhausting' is the present participle (active) — it would mean the students were tiring others. Here, the students received the action, so a past participle (passive) is needed.
- #5Misconception
'Exhaust' is the bare form (or a noun meaning fumes). The correct participle form is 'exhausted'; 'being exhaust' is ungrammatical.
EnglishVocabulary
- #1Misconception
Means of little value or importance.
- #2Misconception
'Palpable' means able to be touched or felt; used for atmosphere, not explanations.
- #3Misconception
'Pervasive' means spreading widely throughout an area.
- #4Misconception
'Precarious' means not securely held or in a dangerous position.
- #5Misconception
Refers to an achievement to be proud of.
MathematicsAlgebra
- #1Misconception
This is the SMALLEST number, not the largest. Re-read the question.
- #2Partial logic
This is the MIDDLE number, not the largest. The three numbers are 28, 30, 32.
- #3Calc error
You set the sum as 3n + 6 = 90, giving n = 28, but then added 6 instead of 4. The largest is n + 4 = 32.
- #4Misconception
Expanded −3(2b − 1) as −6b − 3 instead of −6b + 3. The student forgot that −3 × (−1) = +3, computing the constant as −3 and getting 5b + 10 − 6b − 3 = −b + 7.
- #5Misconception
Combined the b-terms incorrectly as 5b − (−6b) = 5b + 6b = 11b, but then wrote b + 13. Alternatively the student treated −6b as +6b when collecting like terms, giving a positive b coefficient.
MathematicsAngles
- #1Calc error
Treated each unit as one angle and computed the smallest: 1 unit = 360 / (2 + 3 + 4 + 6) = 24, then took 24 + 36 = 60 by adding the next ratio increment.
- #2Partial logic
Used the correct angle sum 360 and ratio total 15 (so 1 unit = 24 degrees), but multiplied by 4 (second-largest part) instead of 6: 4 x 24 = 96.
- #3Misconception
Mistakenly used the angle sum of a triangle (180 degrees) and divided by 15 units to get 12 degrees per unit, then multiplied by the second-largest part 4: 4 x 30 = 120 by inconsistent calculation.
- #4Calc error
Used 190° instead of 180° as the angle sum (perhaps from an addition slip). The angle sum of a triangle is 180°, not 190°.
- #5Misconception
Added 47 and 68 and stopped there, thinking that A and B sum to give C. Instead, A + B + C = 180.
MathematicsAverage
- #1Misconception
This comes from subtracting the two averages: 84 − 80 = 4. You cannot subtract averages directly. Find the total for each group: original total = 5 × 84 = 420, new total = 6 × 80 = 480, sixth number = 480 − 420 = 60.
- #2Calc error
This uses 5 instead of 6 as the count for the new group: 84 × 5 − 80 × 5 = 420 − 400 = 20. After adding the sixth number there are 6 numbers, so the new total is 80 × 6 = 480.
- #3Calc error
This uses 6 instead of 5 as the count for the original group: 84 × 6 − 80 × 6 = 504 − 480 = 24. The original group had only 5 numbers, so the correct original total is 84 × 5 = 420.
- #4Misconception
Assumed each of the 3 new boys must weigh the new average 44 kg.
- #5Calc error
Used the increase of 4 kg in average multiplied by 9 boys = 36 kg, then divided by 3 = 12 kg, then added to 36 to get 48 kg.
MathematicsCircles
- #1Misconception
Used C = πr instead of C = 2πr. Forgot the factor of 2.
- #2Misconception
Used radius as if it were diameter: 2 × 22/7 × 14 = 88.
- #3Misconception
Computed AREA (πr² = 154) instead of circumference.
- #4Misconception
Used the path width 7 as a circle radius: π x 7² = 22/7 x 49 = 154 m².
- #5Misconception
Computed the AREA OF THE POND only: π x 14² = 22/7 x 196 = 616 m², treating that as the path area.
MathematicsFractions
- #1Misconception
Multiplied instead of divided.
- #2Misconception
Subtracted denominators (8−4 = 4) then divided 8÷4 = 2.
- #3Misconception
Took only the denominator of 1/8, ignoring the 3/4 length.
- #4Calc error
Computed 3×8 = 24 without dividing by the denominator 4.
- #5Misconception
Subtracted 3/4 - 1/12 = 9/12 - 1/12 = 8/12 = 2/3 and rounded to 4 by visual inspection.
MathematicsGeometry
- #1Misconception
Correctly finds ∠QRS = 112° but then sets ∠RSP = 112° (same as ∠QRS). ∠RSP is opposite ∠PQR, so ∠RSP = 68°. The pattern alternates: 68°, 112°, 68°, 112°.
- #2Misconception
This incorrectly makes ∠QRS equal to ∠PQR (68°). Adjacent angles in a rhombus are supplementary, not equal: ∠QRS = 180° − 68° = 112°. Only opposite angles are equal.
- #3Calc error
Gives three angles of 112°: 68° + 112° + 112° + 112° = 404°, which exceeds 360°. Interior angles of any quadrilateral must sum to exactly 360°.
- #4Misconception
Computed angle ADC = 180° - 110° = 70° (correct co-interior angle on side AD) but reported that as angle BCD instead of working out the OTHER pair on side BC.
- #5Misconception
Used 360° - 110° - 60° - 90° = 100°, treating the trapezium as having one right angle at C.
MathematicsPercentage
- #1Calc error
Wrong divisor.
- #2Calc error
Approximate. Re-set: original − 0.35 × original − 48 = 87 → 0.65 × original = 135 → original = 207.69 ≈ 208.
- #3Misconception
This treats the $48 as 35%. Apply 35% only to the original, then subtract $48 separately.
- #4Calc error
This solves 0.65 × original = 156 (= 87 + 69 incorrectly). Use 87 + 48 = 135 instead.
- #5Partial logic
Applied 10% decrease to the original $300 (= $270) and forgot the 20% increase entirely.
MathematicsPie Charts
- #1Calc error
Computed new Food amount = $140 and treated it as 100 units out of 360 by dividing 360 by ($400 / $140) approximation, mis-converting to degrees.
- #2Misconception
Mistook the $20 transfer as 5% of the WHOLE pie and subtracted 5% off the original 40% as an angle: 40 - 5 = 35 percent, then computed 35 x (360 / 100) - 1 = 125° and rounded to 135°.
- #3Partial logic
Used the ORIGINAL Food percentage 40% and converted directly to degrees: 0.40 x 360 = 144°, ignoring the $20 transfer out of Food.
- #4Misconception
Took only potato 1/5 of 540 = 108 and reported that as the vegetable count.
- #5Misconception
Took only chicken 1/4 of 540 = 135 and reported that as the vegetable count.
MathematicsRatio
- #1Partial logic
Unsimplified.
- #2Misconception
Reversed order.
- #3Partial logic
Took $24 divided by (5 - 3) = 2 to get 1 unit = $12, but then multiplied by 3 (new watch units) instead of 5 (original watch units): 3 x $12 = $36.
- #4Misconception
Used $24 divided by 3 (the new watch units) = $8 per unit, then multiplied by 5 original watch units: 5 x $8 = $40.
- #5Calc error
Added the $24 discount to the original watch instead of subtracting; assumed new watch = 5u + $24 = 3u, giving u = -$12 then took absolute value: 6 x $12 = $72.
MathematicsVolume
- #1Calc error
Divided 480 by 12 × 10 = 120, mistakenly using 10 instead of the width 8, giving 480 ÷ 120 = 4.
- #2Calc error
Divided 480 by 8 × 10 = 80 instead of 8 × 12 = 96, using an incorrect factor of 10 for the length.
- #3Misconception
Divided the volume by the length only (480 ÷ 12 = 40), forgetting to also divide by the width.
- #4Misconception
Took the drop 8000 / 1000 = 8 cm and reported that as the new depth instead of the new depth = 18 - 8 = 10 cm.
- #5Calc error
Treated 8000 cm³ as filling the FULL base, but used base area 30 x 25 = 750 instead of 40 x 25 = 1000, giving a drop of 8000 / 750 = 10.67 cm; then 18 - 6 ≈ 12 cm.
ScienceEnergy
- #1Misconception
Plastic is an electrical insulator.
- #2Misconception
Wood does not conduct electricity.
- #3Misconception
Glass is an electrical insulator.
- #4Misconception
Plastic is an insulator.
- #5Misconception
Glass is an insulator.
ScienceInteractions
- #1Misconception
Gravity is a non-contact force.
- #2Misconception
Rougher surfaces increase friction.
- #3Misconception
This is the dependent variable being measured.
- #4Misconception
Plants are producers, not predators.
- #5Misconception
In mutualism, both organisms must benefit.
