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P3 Maths exam paper

A free Primary 3 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 3 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.

    What number should replace the question mark?   2 × ? + 27 = 57

    1. A15
    2. B42
    3. C30
    4. D16
  2. 2.

    When a number is multiplied by 7, the answer is the same as multiplying that number by 5 and then adding 16. What is the number?

    1. A3
    2. B1
    3. C8
    4. D10
  3. 3.

    Each step Zara takes is 80 cm long. How many steps does it take to walk 60 metres?

    1. A133 steps
    2. B4800 steps
    3. C750 steps
    4. D75 steps
  4. 4.

    A train journey begins at 3:53 pm and finishes at 5:23 pm. How long does it last?

    1. A30 minutes
    2. B1 hour 30 minutes
    3. C1 hour 70 minutes
    4. D1 hour
  5. 5.

    Finn used a balance to compare the masses of some objects. The results are shown below. Which of these must be true?

    1. AOne cube is lighter than one ball and one cone.
    2. BTwo balls are heavier than one cone.
    3. CTwo cones are lighter than one cube.
    4. DTwo cubes are heavier than one ball.
  6. 6.

    27 May is a Tuesday. What day of the week is 8 June? (May has 31 days.)

    1. ASaturday
    2. BThursday
    3. CMonday
    4. DSunday
  7. 7.

    What fraction of the square is shaded?

    1. A6/8
    2. B1/8
    3. C2/6
    4. D2/8
  8. 8.

    A square notice has an area of 64 cm². What is the distance all the way round it?

    1. A32 cm
    2. B8 cm
    3. C30 cm
    4. D64 cm
  9. 9.

    Which fraction is the greatest?

    1. A7/8
    2. B6/8
    3. C5/8
    4. D1/8
  10. 10.

    6 eggs are shared equally among 2 children. Which expression shows how many eggs each child gets?

    1. A6 ÷ 2
    2. B6 × 2
    3. C2 ÷ 6
    4. D6 − 2
  11. 11.

    Finn collected data on the juice cartons in a shop and graphed the results. Which statement about the cartons is not true?

    1. AThere were 4 more large than small altogether.
    2. BAltogether 54 cartons were counted.
    3. CThere were more apple cartons than pear cartons.
    4. DHalf of the apple cartons are large.
  12. 12.

    Each small square is 1 square unit. What is the area of the shape?

    1. A14 square units
    2. B13 square units
    3. C15 square units
    4. D18 square units
  13. 13.

    Two prices come to $64, and one is $50 more than the other. What is the cheaper price?

    1. A$57
    2. B$25
    3. C$32
    4. D$7
  14. 14.

    A school library has 550 books. It gets 169 new books. How many books does it have now?

    1. A729
    2. B381
    3. C619
    4. D719
  15. 15.

    This picture graph shows the cans collected. How many more cans are there for Dover Way than for Cedar Lane?

    1. A22
    2. B36
    3. C8
    4. D6

Section B: short answers

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

  1. 16.

    This picture graph shows the cans collected. How many more cans are there for Bay Road than for Dover Way?

    Answer: ______________

  2. 17.

    A rectangular card has an area of 30 cm². One of its sides is 3 cm long. What is the distance all the way round it? Give your answer in cm.

    Answer: ______________

  3. 18.

    231 + 286 = ?

    Answer: ______________

  4. 19.

    There are 2 plates with 5 cookies in each plate. How many cookies are there in all?

    Answer: ______________

  5. 20.

    Each step Ruby takes is 40 cm long. How many steps does it take to walk 30 metres?

    Answer: ______________

  6. 21.

    There are 5 baskets with 10 stars in each basket. How many stars are there in all?

    Answer: ______________

  7. 22.

    A shopper buys 2 lamps at $10 each and 4 bulbs at $17 each, then hands over a $10 voucher. How much is still to pay? Give your answer in dollars.

    Answer: ______________

  8. 23.

    Two prices come to $48, and one is $10 more than the other. What is the dearer price? Give your answer in dollars.

    Answer: ______________

  9. 24.

    A shopper buys 3 shirts at $40 each and 6 caps at $18 each, and pays with $250. How much change is there? Give your answer in dollars.

    Answer: ______________

  10. 25.

    What number should replace the question mark?   2 × ? + 25 = 37

    Answer: ______________

  11. 26.

    What number should replace the question mark?   ? ÷ 5 + 40 = 51

    Answer: ______________

  12. 27.

    This picture graph shows the cans collected. How many more cans are there for Cedar Lane than for Dover Way?

    Answer: ______________

  13. 28.

    Omar has 548 baseball cards and gets 417 more. How many cards does Omar have now?

    Answer: ______________

  14. 29.

    A square tile has an area of 256 cm². What is the distance all the way round it? Give your answer in cm.

    Answer: ______________

  15. 30.

    Two prices come to $44, and one is $32 more than the other. What is the dearer price? Give your answer in dollars.

    Answer: ______________

Section C: longer problems

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

  1. 31.

    Ruby is 6 years older than Ethan. Ethan is 7 years younger than Chloe. If the total of their ages is 43 years, how old is Ruby?

    Answer: ______________

  2. 32.

    Two numbers add to 104, and one is 46 more than the other. What is the smaller number?

    Answer: ______________

  3. 33.

    A shopper buys 4 plants at $31 each and 3 pots at $5 each, then hands over a $25 voucher. How much is still to pay? Give your answer in dollars.

    Answer: ______________

  4. 34.

    Chloe is 5 years older than Priya. Priya is 11 years younger than Ethan. If the total of their ages is 52 years, how old is Chloe?

    Answer: ______________

  5. 35.

    Tickets to the aquarium cost $14 for an adult and $5 for a child. A group of 22 people paid $200 altogether. How many adults were in the group?

    Answer: ______________

Answers and working

Section A: multiple choice

  1. 1.A (15). Undo the operations in reverse order: 2 × ▢ + 27 = 57 gives ▢ = 15.
  2. 2.C (8). Multiplying by 7 rather than by 5 adds 7 − 5 = 2 lots of the number. Those 2 lots come to 16, so the number is 16 ÷ 2 = 8.
  3. 3.D (75 steps). 60 metres is 60 × 100 = 6000 cm. Each step covers 80 cm, so it takes 6000 ÷ 80 = 75 steps.
  4. 4.B (1 hour 30 minutes). Count on in two steps rather than subtracting the two times as though they were numbers. From 3:53 pm to 4:53 pm is 1 hour, and from there to 5:23 pm is another 30 minutes. Altogether that is 1 hour 30 minutes.
  5. 5.B (Two balls are heavier than one cone.). The pictures say one ball is heavier than one cone; one cone is lighter than one cube and one ball. Put together, they make it certain that two balls are heavier than one cone, whatever the objects weigh.
  6. 6.D (Sunday). From 27 May to the end of May is 4 days, plus 8 more into June = 12 days. 12 = 1 weeks and 5 days, so count 5 on from Tuesday: Sunday.
  7. 7.D (2/8). Count all the equal parts: 8. That is the denominator. Count the shaded parts: 2. That is the numerator. So the answer is 2/8.
  8. 8.A (32 cm). A square's sides are all equal, so each side is the number that multiplies by itself to make 64, which is 8 cm. Round all four sides is 4 × 8 = 32 cm.
  9. 9.A (7/8). All four are eighths of the same whole, so the one with the most pieces, 7/8, is the greatest and 1/8 is the least.
  10. 10.A (6 ÷ 2). Sharing 6 equally among 2 is 6 ÷ 2, which is 3 each.
  11. 11.B (Altogether 54 cartons were counted.). Checked against the columns, three of the four statements hold. "Altogether 54 cartons were counted" does not. The six columns add to 56.
  12. 12.A (14 square units). The full rectangle would be 6 × 3 = 18 squares; 4 are missing, so the area is 14 square units.
  13. 13.D ($7). Take the difference off the total first: $64 − $50 = $14. That is what TWO of the smaller one come to, so the smaller is $7 and the larger is $7 + $50 = $57.
  14. 14.D (719). 550 + 169 = 719.
  15. 15.C (8). One circle stands for 4 cans. Dover Way has 5.5 circles, which is 22; Cedar Lane has 3.5 circles, which is 14. The difference is 8.

Section B: short answers

  1. 16.2. One circle stands for 4 cans. Bay Road has 5.5 circles, which is 22; Dover Way has 5 circles, which is 20. The difference is 2.
  2. 17.26. The other side is 30 ÷ 3 = 10 cm. Round the edge is 3 + 10 + 3 + 10 = 26 cm.
  3. 18.517. 231 + 286 = 517.
  4. 19.10. 2 groups of 5 is 2 × 5 = 10.
  5. 20.75. 30 metres is 30 × 100 = 3000 cm. Each step covers 40 cm, so it takes 3000 ÷ 40 = 75 steps.
  6. 21.50. 5 groups of 10 is 5 × 10 = 50.
  7. 22.78. The lamps cost 2 × $10 = $20 and the bulbs cost 4 × $17 = $68, which is $88 altogether. The voucher comes OFF that, so $88 − $10 = $78.
  8. 23.29. Take the difference off the total first: $48 − $10 = $38. That is what TWO of the smaller one come to, so the smaller is $19 and the larger is $19 + $10 = $29.
  9. 24.22. The shirts cost 3 × $40 = $120 and the caps cost 6 × $18 = $108, which is $228 altogether. Change is what is handed over less what is owed: $250 − $228 = $22.
  10. 25.6. Undo the operations in reverse order: 2 × ▢ + 25 = 37 gives ▢ = 6.
  11. 26.55. Undo the operations in reverse order: ▢ ÷ 5 + 40 = 51 gives ▢ = 55.
  12. 27.10. One circle stands for 4 cans. Cedar Lane has 6.5 circles, which is 26; Dover Way has 4 circles, which is 16. The difference is 10.
  13. 28.965. 548 + 417 = 965.
  14. 29.64. A square's sides are all equal, so each side is the number that multiplies by itself to make 256, which is 16 cm. Round all four sides is 4 × 16 = 64 cm.
  15. 30.38. Take the difference off the total first: $44 − $32 = $12. That is what TWO of the smaller one come to, so the smaller is $6 and the larger is $6 + $32 = $38.

Section C: longer problems

  1. 31.16. Let Ethan = b. Then Ruby = b + 6 and Chloe = b + 7, so 3b + 13 = 43 and b = 10. Ruby = 16.
  2. 32.29. Take the difference off the total first: 104 − 46 = 58. That is what TWO of the smaller one come to, so the smaller is 29 and the larger is 29 + 46 = 75.
  3. 33.114. The plants cost 4 × $31 = $124 and the pots cost 3 × $5 = $15, which is $139 altogether. The voucher comes OFF that, so $139 − $25 = $114.
  4. 34.17. Let Priya = b. Then Chloe = b + 5 and Ethan = b + 11, so 3b + 16 = 52 and b = 12. Chloe = 17.
  5. 35.10. If all 22 paid the child price the total would be 22 × $5 = $110. The extra $90 comes from adults paying $9 more each, so there were 90 ÷ 9 = 10 adults.

Written by Scholar Tests to MOE's Primary 3 Mathematics syllabus. Not a school or PSLE paper. Scholar Tests is not connected with MOE, SEAB or any school.

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  • Primary 3 Mathematics

    35 questions · 90 minutes

    Primary 3 work. Multiple choice, short answers, then longer problems. No calculator.

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Questions parents ask

What does the P3 paper cover?
The Primary 3 Mathematics topics in MOE's syllabus: numbers to 10 000, the four operations, fractions of a whole, money, length, mass and volume, time, area and perimeter of rectangles and squares, 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.
Can my child use a calculator?
No. Practise without one, writing the working on paper.
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