Maths exam papers

PSLE Foundation Maths exam paper

A free PSLE Foundation Mathematics paper in SEAB's 2026 format: 42 questions for 80 marks, Paper 1 without a calculator and Paper 2 with one, on the Foundation topics only. Print it, then check every answer at the end.

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PSLE Foundation Mathematics

42 questions · 80 marks · 105 minutes · no negative marking

Name ______________________ Date ____________

Paper 1, Booklet A (no calculator)

Questions 1 to 10, 1 mark each. Circle the letter of the best answer.

  1. 1.

    Ruby has $35.00. 4% of it is spent on a book. How much is spent on the book?

    1. A$1.40
    2. B$14.00
    3. C$33.60
    4. D$0.14
  2. 2.

    12 crates of apples weigh 24 kg altogether. All of them weigh the same. What do 36 of them weigh?

    1. A72 kg
    2. B2 kg
    3. C48 kg
    4. D8 kg
  3. 3.

    What is the area of this triangle?

    1. A120 cm²
    2. B30 cm²
    3. C60 cm²
    4. D15 cm²
  4. 4.

    This graph shows how far Finn and Ben walk for a given number of paces. Finn takes 420 paces to walk from school to the library. How many paces does Ben take to walk from school to the library?

    1. A420
    2. B140
    3. C630
    4. D280
  5. 5.

    240 students at Riverbend Primary were asked how they get to school. The pie chart below shows their answers. How many of them get there by car?

    1. A168
    2. B30
    3. C24
    4. D72
  6. 6.

    What is the distance all the way round this shape?

    1. A30 cm
    2. B12 cm
    3. C21 cm
    4. D32 cm
  7. 7.

    A swimming carnival starts at 2:55 pm and finishes at 4:10 pm. How long does it last?

    1. A1 hour
    2. B15 minutes
    3. C1 hour 15 minutes
    4. D2 hours 15 minutes
  8. 8.

    Each step James takes is 50 cm long. How many steps does it take to walk 12 metres?

    1. A417 steps
    2. B24 steps
    3. C240 steps
    4. D600 steps
  9. 9.

    A fan costs $120. It is sold at a 30% discount. How much does it cost after the discount?

    1. A$156
    2. B$36
    3. C$90
    4. D$84
  10. 10.

    The average of 4 numbers is 28. When 3 more are included, the average of all 7 becomes 30. What is the total of the 3 that were added?

    1. A98
    2. B90
    3. C99
    4. D210

Paper 1, Booklet A, continued

Questions 11 to 20, 2 marks each. Circle the letter of the best answer.

  1. 11.

    A swimming carnival starts at 12:59 pm and lasts 1 hour 50 minutes. What time does it finish?

    1. A2:49 am
    2. B3:29 pm
    3. C11:09 am
    4. D2:49 pm
  2. 12.

    Tom has $280.00. 10% of it is spent on a book. How much is spent on the book?

    1. A$2800.00
    2. B$28.00
    3. C$2.80
    4. D$280.00
  3. 13.

    The average of 5 crowds is 26 people. 4 of them are 24, 5, 7 and 31. What is the last one?

    1. A17
    2. B130
    3. C33
    4. D63
  4. 14.

    This graph shows how far Elena and Isla walk for a given number of paces. Elena takes 240 paces to walk from school to the local shops. How many paces does Isla take to walk from school to the local shops?

    1. A360
    2. B60
    3. C240
    4. D100
  5. 15.

    What is 92% as a fraction in its simplest form?

    1. A24/25
    2. B92/100
    3. C23/25
    4. D25/23
  6. 16.

    In one week the market stall sold 160 pieces of fruit. The pie chart below shows what was sold. How many of them were plums?

    1. A104
    2. B35
    3. C56
    4. D48
  7. 17.

    6 seedlings cost $4.50. What do 24 of the same seedlings cost?

    1. A$18.75
    2. B$18.00
    3. C$22.50
    4. D$1.13
  8. 18.

    In the diagram below, every angle marked x is the same size. What is the size of one of them?

    1. A60°
    2. B30°
    3. C20°
    4. D35°
  9. 19.

    A shopper buys 2 lamps at $21 each and 5 bulbs at $16 each, then hands over a $20 voucher. How much is still to pay?

    1. A$122
    2. B$22
    3. C$102
    4. D$142
  10. 20.

    A square place mat has an area of 25 cm². What is the distance all the way round it?

    1. A25 cm
    2. B5 cm
    3. C22 cm
    4. D20 cm

Paper 1, Booklet B (no calculator)

Questions 21 to 28, 2 marks each. Write your answer on the line.

  1. 21.

    What is 0.8 × 0.8?

    Answer: ______________

  2. 22.

    What is 40% as a fraction in its simplest form?

    Answer: ______________

  3. 23.

    This graph shows how far Hugo and Anika walk for a given number of paces. Hugo takes 180 paces to walk from school to the swimming pool. How many paces does Anika take to walk from school to the swimming pool?

    Answer: ______________

  4. 24.

    A tablet costs $330 before GST. GST of 9% is charged on it. How much must be paid in all? Give your answer in dollars.

    Answer: ______________

  5. 25.

    In the diagram below, what is the size of the angle marked x? Give your answer in degrees.

    Answer: ______________

  6. 26.

    What is the area of this triangle? Give your answer in cm².

    Answer: ______________

  7. 27.

    Mia has $190.00. 75% of it is spent on a book. How much is spent on the book? Give your answer in dollars.

    Answer: ______________

  8. 28.

    In the triangle below, what is the size of the angle marked x? Give your answer in degrees.

    Answer: ______________

Paper 2: short answers (calculator allowed)

Questions 1 to 10, 2 marks each. Write your answer on the line.

  1. 1.

    A square photograph has an area of 400 cm². What is the distance all the way round it? Give your answer in cm.

    Answer: ______________

  2. 2.

    What is 11/25 as a percentage? Give your answer as a percentage.

    Answer: ______________

  3. 3.

    What is 0.3 × 0.3?

    Answer: ______________

  4. 4.

    In the triangle below, what is the size of the angle marked x? Give your answer in degrees.

    Answer: ______________

  5. 5.

    Aaron has $145.00. 8% of it is spent on a book. How much is spent on the book? Give your answer in dollars.

    Answer: ______________

  6. 6.

    Mrs Tan puts $1500 in a bank. The bank pays 2% interest a year. How much interest does she get after 1 year? Give your answer in dollars.

    Answer: ______________

  7. 7.

    A shopper buys 5 shirts at $19 each and 3 caps at $18 each, then hands over a $15 voucher. How much is still to pay? Give your answer in dollars.

    Answer: ______________

  8. 8.

    What is the area of this triangle? Give your answer in cm².

    Answer: ______________

  9. 9.

    What is the area of this shape? Give your answer in cm².

    Answer: ______________

  10. 10.

    In the diagram below, what is the size of the angle marked x? Give your answer in degrees.

    Answer: ______________

Paper 2: longer problems at 3 marks

Questions 11 and 12, 3 marks each. Write your answer on the line.

  1. 11.

    A rectangular lawn is 9 m long and 5 m wide. A path 3 m wide runs all the way round the outside of it. What is the area of the path? Give your answer in m².

    Answer: ______________

  2. 12.

    What is a sixth of a quarter of a half of 48?

    Answer: ______________

Paper 2: longer problems at 4 marks

Questions 13 and 14, 4 marks each. Write your answer on the line.

  1. 13.

    Harry earns $180 each week and saves 40% of it. Harry wants to buy a tent that costs $345 and has already saved $120. What is the smallest whole number of weeks Harry needs to save?

    Answer: ______________

  2. 14.

    What is the distance all the way round this shape? Give your answer in cm.

    Answer: ______________

Answers and working

Paper 1, Booklet A (no calculator)

  1. 1.A ($1.40). 4% means 4 out of every 100. So the amount is $35.00 × 4 ÷ 100 = $1.40.
  2. 2.A (72 kg). One weighs 24 ÷ 12 = 2 kg. So 36 of them weigh 2 × 36 = 72 kg.
  3. 3.B (30 cm²). The dashed line meets the base at a right angle, so it is the height. Base × height = 10 × 6 = 60, and a triangle is half of that: 30 cm².
  4. 4.D (280). 420 paces puts Finn at 140 metres. Reading 140 metres back down Ben's line gives 280 paces.
  5. 5.D (72). The Car slice is 30 per cent of the chart. And 30 per cent of 240 is 240 ÷ 100 × 30 = 72.
  6. 6.A (30 cm). Two sides carry no size: the step across the top is 7 − 3 = 4 cm and the side below it is 8 − 3 = 5 cm. Adding all six gives 30 cm — the same as going round the whole 7 by 8 rectangle, because a bite out of a corner moves the edges without adding to their total.
  7. 7.C (1 hour 15 minutes). Count on in two steps rather than subtracting the two times as though they were numbers. From 2:55 pm to 3:55 pm is 1 hour, and from there to 4:10 pm is another 15 minutes. Altogether that is 1 hour 15 minutes.
  8. 8.B (24 steps). 12 metres is 12 × 100 = 1200 cm. Each step covers 50 cm, so it takes 1200 ÷ 50 = 24 steps.
  9. 9.D ($84). Find 30% of $120, $36, then take it off: $84.
  10. 10.A (98). The first 4 total 4 × 28 = 112. All 7 total 7 × 30 = 210. The difference, 210 − 112 = 98, is the total of the new ones.

Paper 1, Booklet A, continued

  1. 11.D (2:49 pm). Add the hours first: 12:59 pm plus 1 hour is 1:59 pm. Then the 50 minutes. That takes the minutes past 60, so an hour carries, and it finishes at 2:49 pm.
  2. 12.B ($28.00). 10% means 10 out of every 100. So the amount is $280.00 × 10 ÷ 100 = $28.00.
  3. 13.D (63). An average of 26 across 5 crowds means they come to 5 × 26 = 130 altogether. The 4 printed ones come to 67, so the last one is 130 − 67 = 63.
  4. 14.A (360). 240 paces puts Elena at 60 metres. Reading 60 metres back down Isla's line gives 360 paces.
  5. 15.C (23/25). Per cent means "out of a hundred", so 92% is 92/100 to start with. Cancelling that down as far as it goes gives 23/25.
  6. 16.C (56). The Plums slice is 35 per cent of the chart. And 35 per cent of 160 is 160 ÷ 100 × 35 = 56.
  7. 17.B ($18.00). One costs $4.50 ÷ 6 = $0.75. So 24 of them cost $0.75 × 24 = $18.00.
  8. 18.B (30°). OA and OE lie in a straight line, so the angles between them come to 180°. The ones printed on the diagram take up 85° + 35° = 120°, which leaves 180° − 120° = 60° to share between the two angles marked x, so x = 60° ÷ 2 = 30°.
  9. 19.C ($102). The lamps cost 2 × $21 = $42 and the bulbs cost 5 × $16 = $80, which is $122 altogether. The voucher comes OFF that, so $122 − $20 = $102.
  10. 20.D (20 cm). A square's sides are all equal, so each side is the number that multiplies by itself to make 25, which is 5 cm. Round all four sides is 4 × 5 = 20 cm.

Paper 1, Booklet B (no calculator)

  1. 21.0.64. Ignore the points first: 8 × 8 = 64. Each number has one figure after the point, so the answer has two: 0.64. Multiplying by a number below 1 makes it SMALLER, which is why the answer is less than 0.8.
  2. 22.2/5. Per cent means "out of a hundred", so 40% is 40/100 to start with. Cancelling that down as far as it goes gives 2/5.
  3. 23.270. 180 paces puts Hugo at 90 metres. Reading 90 metres back down Anika's line gives 270 paces.
  4. 24.359.70. Find 9% of $330, $29.70, then add it on: $359.70.
  5. 25.155. The angles at O go all the way round, so they come to 360°. The ones printed on the diagram take up 85° + 120° = 205°, which leaves 360° − 205° = 155°, so x = 155°.
  6. 26.90. The dashed line meets the base at a right angle, so it is the height. Base × height = 20 × 9 = 180, and a triangle is half of that: 90 cm².
  7. 27.142.50. 75% means 75 out of every 100. So the amount is $190.00 × 75 ÷ 100 = $142.50.
  8. 28.72. The two ticked sides are the same length, so the two angles at the ends of the third side are equal. Each of them is 54°, and the three angles come to 180°, so x = 180° − 54° − 54° = 72°.

Paper 2: short answers (calculator allowed)

  1. 1.80. A square's sides are all equal, so each side is the number that multiplies by itself to make 400, which is 20 cm. Round all four sides is 4 × 20 = 80 cm.
  2. 2.44. 25 goes into 100 4 times, so 11/25 is the same as 44/100, and that is 44%.
  3. 3.0.09. Ignore the points first: 3 × 3 = 9. Each number has one figure after the point, so the answer has two: 0.09. Multiplying by a number below 1 makes it SMALLER, which is why the answer is less than 0.3.
  4. 4.47. The two ticked sides are the same length, so the two angles at the ends of the third side are equal. Between them they take up 180° − 86° = 94°, so x = 94° ÷ 2 = 47°.
  5. 5.11.60. 8% means 8 out of every 100. So the amount is $145.00 × 8 ÷ 100 = $11.60.
  6. 6.30. 2% of $1500 = 2/100 × $1500 = $30: $30.
  7. 7.134. The shirts cost 5 × $19 = $95 and the caps cost 3 × $18 = $54, which is $149 altogether. The voucher comes OFF that, so $149 − $15 = $134.
  8. 8.63. The dashed line meets the base at a right angle, so it is the height. Base × height = 14 × 9 = 126, and a triangle is half of that: 63 cm².
  9. 9.53. Split it along the step. The upper rectangle is 3 by 3, which is 9 cm², and the lower one is 11 by 4, which is 44 cm². Together 53 cm². (Taking the 8 by 3 bite out of the whole 11 by 7 rectangle gives the same thing.)
  10. 10.160. The angles at O go all the way round, so they come to 360°. The ones printed on the diagram take up 85° + 70° + 45° = 200°, which leaves 360° − 200° = 160°, so x = 160°.

Paper 2: longer problems at 3 marks

  1. 11.120. The whole shape is 15 × 11 = 165 m². Take away the lawn, 9 × 5 = 45 m², to leave 120 m².
  2. 12.1. Take the fractions one at a time, starting with a half: 48 → 24, then 24 → 6, then 6 → 1. The answer is 1.

Paper 2: longer problems at 4 marks

  1. 13.4. Harry saves $72 a week and still needs $225, which takes 4 weeks when part of a week is rounded up. So the answer is 4.
  2. 14.26. Two sides carry no size: the step across the top is 8 − 3 = 5 cm and the side below it is 5 − 3 = 2 cm. Adding all six gives 26 cm — the same as going round the whole 8 by 5 rectangle, because a bite out of a corner moves the edges without adding to their total.

Written by Scholar Tests to MOE's PSLE Foundation Mathematics syllabus. Not a school or PSLE paper. Scholar Tests is not connected with MOE, SEAB or any school.

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  • PSLE Foundation Mathematics Paper 1

    28 questions · 60 minutes

    Booklet A multiple choice, then Booklet B short answers. No calculator.

  • PSLE Foundation Mathematics Paper 2

    14 questions · 45 minutes

    Short answers, then longer problems with working. Calculator allowed.

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Questions parents ask

What does the PSLE Foundation paper cover?
The PSLE Foundation Mathematics topics in MOE's syllabus: whole numbers, fractions and decimals, percentage with discount, GST and interest, rate, average, time, area and perimeter, the area of a triangle, the volume of a cuboid, angles in triangles and on a line, and bar, line and pie charts.
How is it marked?
As the PSLE Foundation paper is: in Paper 1 the first 10 questions are worth 1 mark and the rest 2; in Paper 2 the 10 short answers are worth 2 marks and the 4 longer problems 3 or 4, for 80 in all. We mark the final answer only; the PSLE can also give a mark for the right method.
Can my child use a calculator?
In Paper 2 only, as in the PSLE. Paper 1 is done without one.
Is it free?
A free account includes 3 practice tests. The Singapore pack (S$99 for 6 months) opens unlimited tests and shows the right answer and the working for every question.
Is this a real PSLE paper?
No. It is written by us in SEAB's 2026 PSLE Foundation format. Past PSLE papers are SEAB's copyright and are not used. Scholar Tests is not connected with MOE, SEAB or any school.

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