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P4 Maths exam paper

A free Primary 4 Mathematics paper: 35 questions in 90 minutes for 80 marks, with no calculator. Print it, then check every answer at the end.

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Scholar Tests · Sample paper

Primary 4 Mathematics

35 questions · 80 marks · 90 minutes · no negative marking

Name ______________________ Date ____________

Section A: multiple choice

Questions 1 to 15, 2 marks each. Circle the letter of the best answer.

  1. 1.

    This picture graph shows the books read. How many more books are there for Thursday than for Monday?

    1. A3
    2. B10
    3. C2
    4. D1
  2. 2.

    Which shows 2,034 in expanded form?

    1. A2,000 + 300 + 4
    2. B2 + 3 + 4
    3. C20,000 + 30 + 4
    4. D2,000 + 30 + 4
  3. 3.

    What is the distance all the way round this shape?

    1. A24 cm
    2. B12 cm
    3. C53 cm
    4. D36 cm
  4. 4.

    28 October is a Tuesday. What day of the week is 6 November? (October has 31 days.)

    1. ASaturday
    2. BThursday
    3. CSunday
    4. DWednesday
  5. 5.

    89 books need to go on shelves. Each shelf holds 9 books. How many shelves are needed for all the books?

    1. A10
    2. B11
    3. C9
    4. D8
  6. 6.

    2,530 − 1,164 = ?

    1. A1,366
    2. B3,694
    3. C1,434
    4. D1,376
  7. 7.

    Use the number line. What is 1,898 rounded to the nearest ten?

    1. A1,900
    2. B1,890
    3. C1,910
    4. D1,895
  8. 8.

    A shopper buys 2 lamps at $17 each and 2 bulbs at $6 each, and pays with $100. How much change is there?

    1. A$66
    2. B$88
    3. C$54
    4. D$46
  9. 9.

    Eli has 23 pencils. Theo has 4 times as many pencils as Eli. Which equation can be used to find how many pencils Theo has?

    1. A? = 4 + 23
    2. B? = 23 ÷ 4
    3. C? = 4 × 23
    4. D23 = 4 × ?
  10. 10.

    Which fraction is less than 1/2?

    1. A3/6
    2. B2/3
    3. C7/12
    4. D3/12
  11. 11.

    Hugo is measuring a leaf with a ruler marked in centimetres. How long is the leaf, in centimetres?

    1. A4.1
    2. B5
    3. C9.1
    4. D4
  12. 12.

    Each step Chloe takes is 50 cm long. How many steps does it take to walk 24 metres?

    1. A49 steps
    2. B208 steps
    3. C48 steps
    4. D480 steps
  13. 13.

    Point P is on the number line. Which fraction is equal to the fraction at point P?

    1. A1/8
    2. B6/8
    3. C2/4
    4. D1/4
  14. 14.

    Two prices come to $82, and one is $32 more than the other. What is the dearer price?

    1. A$50
    2. B$41
    3. C$16
    4. D$57
  15. 15.

    How many hundredths are there altogether in 7.70?

    1. A70
    2. B77
    3. C7
    4. D770

Section B: short answers

Questions 16 to 30, 2 marks each. Write your answer on the line.

  1. 16.

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

    Answer: ______________

  2. 17.

    Each step Zara takes is 80 cm long. How many steps does it take to walk 12 metres?

    Answer: ______________

  3. 18.

    A shopper buys 5 shirts at $24 each and 3 caps at $16 each, and pays with $200. How much change is there? Give your answer in dollars.

    Answer: ______________

  4. 19.

    A square place mat has an area of 144 cm². What is the distance all the way round it? Give your answer in cm.

    Answer: ______________

  5. 20.

    260 people are waiting for a boat ride. Each boat holds 3 people. How many boat trips are needed so that everyone gets a ride?

    Answer: ______________

  6. 21.

    Two crowds come to 44, and one is 8 more than the other. What is the smaller crowd?

    Answer: ______________

  7. 22.

    Anika has a piece of felt measuring 7 cm by 11 cm, and wants to cut from it as many 3 cm by 3 cm square patches as possible. Offcuts cannot be joined together. What is the greatest number that can be cut?

    Answer: ______________

  8. 23.

    Dana has 10 stamps. That is 2 times as many as Carlos has. How many stamps does Carlos have?

    Answer: ______________

  9. 24.

    5,772 − 2,842 = ?

    Answer: ______________

  10. 25.

    What number should replace the question mark?   8 × ? + 19 = 115

    Answer: ______________

  11. 26.

    A shopper buys 3 lamps at $14 each and 4 bulbs at $18 each, and pays with $150. How much change is there? Give your answer in dollars.

    Answer: ______________

  12. 27.

    This picture graph shows the books read. How many more books are there for Thursday than for Tuesday?

    Answer: ______________

  13. 28.

    Chloe is measuring a pencil stub with a ruler marked in centimetres. How long is the pencil stub, in centimetres?

    Answer: ______________

  14. 29.

    How many centimetres are there in 16 metres?

    Answer: ______________

  15. 30.

    A rectangular card has a perimeter of 46 cm. One of its sides is 10 cm long. What is its area? Give your answer in cm².

    Answer: ______________

Section C: longer problems

Questions 31 to 35, 4 marks each. Write your answer on the line.

  1. 31.

    Chloe is 5 years older than James. James is 8 years younger than Lucas. If the total of their ages is 55 years, how old is Chloe?

    Answer: ______________

  2. 32.

    Two numbers add to 116, and one is 52 more than the other. What is the smaller number?

    Answer: ______________

  3. 33.

    A shopper buys 4 shirts at $44 each and 4 caps at $16 each, then hands over a $15 voucher. How much is still to pay? Give your answer in dollars.

    Answer: ______________

  4. 34.

    A grandmother is 45 years old. Her grandson is 2/5 of her age. What will the gap between their ages be in 16 years?

    Answer: ______________

  5. 35.

    A rectangular notice has a perimeter of 20 cm. One of its sides is 3 cm long. What is its area? Give your answer in cm².

    Answer: ______________

Answers and working

Section A: multiple choice

  1. 1.C (2). One circle stands for 2 books. Thursday has 5 circles, which is 10; Monday has 4 circles, which is 8. The difference is 2.
  2. 2.D (2,000 + 30 + 4). 2,034 is 2,000 + 30 + 4, which is said "two thousand thirty-four".
  3. 3.D (36 cm). Two sides carry no size: the step across the top is 11 − 3 = 8 cm and the side below it is 7 − 3 = 4 cm. Adding all six gives 36 cm — the same as going round the whole 11 by 7 rectangle, because a bite out of a corner moves the edges without adding to their total.
  4. 4.B (Thursday). From 28 October to the end of October is 3 days, plus 6 more into November = 9 days. 9 = 1 weeks and 2 days, so count 2 on from Tuesday: Thursday.
  5. 5.A (10). 89 ÷ 9 = 9 R 8. 9 shelves hold 81, which leaves 8 more, so one more is needed: 10.
  6. 6.A (1,366). 2,530 − 1,164 = 1,366.
  7. 7.A (1,900). 1,898 is between 1,890 and 1,900, and it is at or past the halfway number, 1,895. So it rounds to 1,900.
  8. 8.C ($54). The lamps cost 2 × $17 = $34 and the bulbs cost 2 × $6 = $12, which is $46 altogether. Change is what is handed over less what is owed: $100 − $46 = $54.
  9. 9.C (? = 4 × 23). Theo's amount is 4 times Eli's 23, so ? = 4 × 23.
  10. 10.D (3/12). Half of 12 is 6. 3/12 has 3 on top, which is less than 6, so it is less than 1/2.
  11. 11.A (4.1). The leaf runs from 5 cm to 9.1 cm on the scale. A length is the difference between the two ends, so it is 9.1 − 5 = 4.1 cm.
  12. 12.C (48 steps). 24 metres is 24 × 100 = 2400 cm. Each step covers 50 cm, so it takes 2400 ÷ 50 = 48 steps.
  13. 13.D (1/4). P is at 2/8. Dividing the top and the bottom by 2 gives 1/4, the same point.
  14. 14.D ($57). Take the difference off the total first: $82 − $32 = $50. That is what TWO of the smaller one come to, so the smaller is $25 and the larger is $25 + $32 = $57.
  15. 15.D (770). Each whole one holds 100 hundredths, so 7 wholes are 700 hundredths. Add the 70 already there: 700 + 70 = 770.

Section B: short answers

  1. 16.71. Split it along the step. The upper rectangle is 7 by 3, which is 21 cm², and the lower one is 10 by 5, which is 50 cm². Together 71 cm². (Taking the 3 by 3 bite out of the whole 10 by 8 rectangle gives the same thing.)
  2. 17.15. 12 metres is 12 × 100 = 1200 cm. Each step covers 80 cm, so it takes 1200 ÷ 80 = 15 steps.
  3. 18.32. The shirts cost 5 × $24 = $120 and the caps cost 3 × $16 = $48, which is $168 altogether. Change is what is handed over less what is owed: $200 − $168 = $32.
  4. 19.48. A square's sides are all equal, so each side is the number that multiplies by itself to make 144, which is 12 cm. Round all four sides is 4 × 12 = 48 cm.
  5. 20.87. 260 ÷ 3 = 86 R 2. 86 trips hold 258, which leaves 2 more, so one more is needed: 87.
  6. 21.18. Take the difference off the total first: 44 − 8 = 36. That is what TWO of the smaller one come to, so the smaller is 18 and the larger is 18 + 8 = 26.
  7. 22.6. Along the 7 cm side 2 squares fit with 1 cm to spare, and along the 11 cm side 3 fit with 2 cm to spare. That is 2 × 3 = 6.
  8. 23.5. Carlos has the smaller amount: 10 ÷ 2 = 5.
  9. 24.2930. 5,772 − 2,842 = 2,930.
  10. 25.12. Undo the operations in reverse order: 8 × ▢ + 19 = 115 gives ▢ = 12.
  11. 26.36. The lamps cost 3 × $14 = $42 and the bulbs cost 4 × $18 = $72, which is $114 altogether. Change is what is handed over less what is owed: $150 − $114 = $36.
  12. 27.4. One circle stands for 4 books. Thursday has 4 circles, which is 16; Tuesday has 3 circles, which is 12. The difference is 4.
  13. 28.2.9. The pencil stub runs from 6 cm to 8.9 cm on the scale. A length is the difference between the two ends, so it is 8.9 − 6 = 2.9 cm.
  14. 29.1600. There are 100 centimetres in one of the metres, so 16 metres is 16 × 100 = 1600 centimetres.
  15. 30.130. Half the perimeter is one length plus one width: 46 ÷ 2 = 23 cm. So the other side is 23 − 10 = 13 cm, and the area is 10 × 13 = 130 cm².

Section C: longer problems

  1. 31.19. Let James = b. Then Chloe = b + 5 and Lucas = b + 8, so 3b + 13 = 55 and b = 14. Chloe = 19.
  2. 32.32. Take the difference off the total first: 116 − 52 = 64. That is what TWO of the smaller one come to, so the smaller is 32 and the larger is 32 + 52 = 84.
  3. 33.225. The shirts cost 4 × $44 = $176 and the caps cost 4 × $16 = $64, which is $240 altogether. The voucher comes OFF that, so $240 − $15 = $225.
  4. 34.27. The grandson is 18 now, so the gap is 45 − 18 = 27. Both ages grow by the same 16 years, so the gap stays 27. So the answer is 27.
  5. 35.21. Half the perimeter is one length plus one width: 20 ÷ 2 = 10 cm. So the other side is 10 − 3 = 7 cm, and the area is 3 × 7 = 21 cm².

Written by Scholar Tests to MOE's Primary 4 Mathematics syllabus. Not a school or PSLE paper. Scholar Tests is not connected with MOE, SEAB or any school.

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  • Primary 4 Mathematics

    35 questions · 90 minutes

    Primary 4 work. Multiple choice, short answers, then longer problems. No calculator.

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Questions parents ask

What does the P4 paper cover?
The Primary 4 Mathematics topics in MOE's syllabus: numbers to 100 000, the four operations, fractions and decimals, money, measurement, time, area and perimeter of rectangles and squares and shapes made of them, symmetry, and picture and bar graphs.
How is it marked?
Sections A and B are worth 2 marks a question and Section C's longer problems 4, for 80 in all. Schools set their own marks, so this is our scheme. We mark the final answer only.
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No. Practise without one, writing the working on paper.
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