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🦘 Math Kangaroo Grade 3 · 24 questions · 75 minutes · no calculator

Practice test 1

Name ____________________Date __________Points ____ / 96

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Circle one answer for each question. Questions 1 to 8 are worth 3 points, 9 to 16 are worth 4 points and 17 to 24 are worth 5 points.

3-point questions

  1. 1. Which number is the largest?

    (A) 302(B) 320(C) 230(D) 203(E) 32

  2. 2. Kanga has 3 bags with 6 apples in each. She eats 4 apples. How many apples are left?

    (A) 12(B) 13(C) 14(D) 15(E) 18

  3. 3. What time is it 35 minutes after 8:40?

    (A) 9:05(B) 9:15(C) 9:25(D) 8:75(E) 9:35

  4. 4. The shapes ●▲■●▲■… repeat. What is the 16th shape?

    (A) ●(B) ▲(C) ■(D) ★(E) ◆

  5. 5. How many squares of any size are in this 2 by 2 grid?

    (A) 4(B) 5(C) 6(D) 8(E) 9

  6. 6. ☐ + 17 = 42. What is ☐?

    (A) 15(B) 25(C) 35(D) 59(E) 24

  7. 7. A hen has 2 legs and a cat has 4. How many legs do 3 hens and 2 cats have?

    (A) 10(B) 12(C) 14(D) 16(E) 20

  8. 8. 1 March is a Monday. What day is 8 March?

    (A) Sunday(B) Monday(C) Tuesday(D) Wednesday(E) Thursday

4-point questions

  1. 9. Using 5, 0 and 8 once each, how many different 3-digit numbers can be made?

    (A) 2(B) 3(C) 4(D) 5(E) 6

  2. 10. 4 equal boxes and a 2 kg weight balance 18 kg. How heavy is one box?

    (A) 3 kg(B) 4 kg(C) 5 kg(D) 6 kg(E) 8 kg

  3. 11. In this number pyramid each block is the sum of the two below it. What number goes on top?

    263

    (A) 11(B) 15(C) 16(D) 17(E) 18

  4. 12. Tom is 5th from the front and 5th from the back of a queue. How many people are in the queue?

    (A) 8(B) 9(C) 10(D) 11(E) 25

  5. 13. A film starts at 5:50 and lasts 95 minutes. When does it end?

    (A) 6:45(B) 7:15(C) 7:25(D) 7:35(E) 6:25

  6. 14. How many triangles are in this figure?

    (A) 4(B) 6(C) 8(D) 10(E) 12

  7. 15. 1 dog weighs as much as 2 cats, and 1 cat as much as 4 mice. How many mice weigh as much as 3 dogs?

    (A) 9(B) 12(C) 18(D) 24(E) 32

  8. 16. The top row of a magic square with the numbers 1 to 9 is 2, ☐, 6. What is ☐?

    (A) 3(B) 5(C) 7(D) 8(E) 9

5-point questions

  1. 17. How many times is the digit 7 written when the numbers from 1 to 80 are written down?

    (A) 8(B) 10(C) 16(D) 17(E) 18

  2. 18. A farm has hens and cows: 9 heads and 26 legs. How many cows are there?

    (A) 3(B) 4(C) 5(D) 6(E) 7

  3. 19. How many squares of any size are in a grid 3 squares tall and 4 squares wide?

    (A) 12(B) 17(C) 18(D) 20(E) 24

  4. 20. I think of a number, double it, add 6 and halve the result. I get 11. What was my number?

    (A) 5(B) 7(C) 8(D) 11(E) 14

  5. 21. Dot, Eve or Fin took the last cookie. Dot: 'Eve took it.' Eve: 'Dot is lying.' Fin: 'I did not take it.' Exactly one of them tells the truth. Who took it?

    (A) Dot(B) Eve(C) Fin(D) Two of them(E) Nobody

  6. 22. How many rectangles (squares count too) are in a strip of 6 squares?

    (A) 6(B) 12(C) 15(D) 21(E) 36

  7. 23. Three numbers in a row (like 4, 5, 6) add up to 57. What is the biggest of them?

    (A) 18(B) 19(C) 20(D) 21(E) 57

  8. 24. How many 3-digit numbers have digits that add up to 4 and contain no 0?

    (A) 1(B) 2(C) 3(D) 4(E) 6

Answer key

  1. B (320) · 3 points. 320 has 3 hundreds and 2 tens; 302 has 3 hundreds and no tens.
  2. C (14) · 3 points. 3 × 6 = 18 and 18 − 4 = 14.
  3. B (9:15) · 3 points. 20 minutes to 9:00, then 15 more.
  4. A (●) · 3 points. 15 shapes are 5 whole blocks, so the 16th starts a new block.
  5. B (5) · 3 points. 4 small squares and 1 big one.
  6. B (25) · 3 points. 42 − 17 = 25.
  7. C (14) · 3 points. 6 + 8 = 14.
  8. B (Monday) · 3 points. 8 March is exactly one week later.
  9. C (4) · 4 points. 508, 580, 805 and 850. A number cannot start with 0.
  10. B (4 kg) · 4 points. Take 2 kg off both sides: 4 boxes are 16 kg.
  11. D (17) · 4 points. 8 and 9, then 17.
  12. B (9) · 4 points. 4 in front, 4 behind and Tom.
  13. C (7:25) · 4 points. 95 minutes is 1 hour 35 minutes: 6:50, then 7:25.
  14. D (10) · 4 points. The base is cut into 4 pieces: 4 + 3 + 2 + 1 = 10.
  15. D (24) · 4 points. 3 dogs = 6 cats = 24 mice.
  16. C (7) · 4 points. Every row of a 1 to 9 magic square adds to 15.
  17. E (18) · 5 points. 8 times in the ones place (7, 17, …, 77) and 10 times in the tens place (70 to 79).
  18. B (4) · 5 points. All hens would be 18 legs; 8 are missing and each cow adds 2.
  19. D (20) · 5 points. 12 small, 6 of size 2 by 2 and 2 of size 3 by 3.
  20. C (8) · 5 points. 11 × 2 = 22, 22 − 6 = 16, 16 ÷ 2 = 8.
  21. C (Fin) · 5 points. If Fin took it, only Eve's sentence is true. Any other choice makes two sentences true.
  22. D (21) · 5 points. 6 + 5 + 4 + 3 + 2 + 1 = 21.
  23. C (20) · 5 points. 18 + 19 + 20 = 57.
  24. C (3) · 5 points. 112, 121 and 211.
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