Math Kangaroo-style Practice Test 1 (Grade 5)
A free Math Kangaroo competition practice paper for Grade 5 in the format of the real test: 30 questions in 75 minutes, covering Section A — 3-point questions; Section B — 4-point questions; Section C — 5-point questions. 75 minutes, no calculator. Choose one answer (A–E) for each question. In the real contest questions are worth 3, 4 or 5 points (Sections A, B and C) and there is no penalty for a wrong answer, so answer every question; here each correct answer counts once. Attempt it online — every question is marked instantly and the correct answers are shown at the end.
Free · attempted online · no download
Q1. Which of these has the largest value?
Q2. Kip the kangaroo starts at 0 on a number line. Every minute she jumps 5 steps forward and then 2 steps back. In which minute does she first reach the number 20?
Q3. The big square is made of 16 equal small squares. What fraction of the big square is shaded?
Q4. Kira has lots of 3-cent stamps and 5-cent stamps. Which amount can she not make exactly using only these stamps?
Q5. A month has 30 days. It has five Saturdays and five Sundays. What day of the week is the 20th of that month?
Q6. Three ordinary dice are stacked in a tower on a table. On each die, the dots on opposite faces add up to 7. The top face of the tower shows 5 dots. How many dots are there altogether on the faces that are hidden (touching another die or the table)?
Q7. How many squares of any size can you find in this picture?
Q8. Three cats weigh the same as two dogs. Each dog weighs 6 kg more than each cat. All cats weigh the same and all dogs weigh the same. How much does one cat weigh?
Q9. Jess writes the word KANGAROO again and again without spaces: KANGAROOKANGAROOKANG… Which letter is the 2026th letter she writes?
Q10. The tile is turned a quarter turn clockwise (like the hands of a clock). Which picture shows the tile after the turn?
Q11. Leo walks along the lines of this street map from S to F. He only ever walks to the right or down. How many different routes can he take?
Q12. Five friends all have different ages. Ava is older than Ben but younger than Eli. Cal is older than Eli. Dee is older than Ben but younger than Ava. Who is the third oldest?
Q13. How many three-digit numbers have digits that multiply to give 6? (For example, 132 is one of them, because 1 × 3 × 2 = 6.)
Q14. Four identical rectangles are put together to make one big rectangle, as shown. Each small rectangle has a perimeter of 16 cm. What is the perimeter of the big rectangle?
Q15. This net is folded to make a cube. Which number is on the face opposite the face with 1?
Q16. Five cards lie in a row as shown. In one move you may swap any two cards. What is the smallest number of moves needed to put the cards in order from smallest to largest?
Q17. On an island, knights always tell the truth and liars always lie. Pip, Quin and Rae live there.
Pip says: 'Quin is a liar.'
Quin says: 'Rae is a liar.'
Rae says: 'Pip and Quin are both liars.'
Who is a knight?
Q18. A square sheet of paper is folded twice as shown, and then one hole is punched through all the layers. What does the paper look like when it is unfolded?
Q19. In this number pyramid, each circle holds the sum of the two numbers in the circles just below it. What number goes in the circle with the question mark?
Q20. Mia writes all the whole numbers from 1 to 50. How many times does she write the digit 3?
Q21. A flag has 4 horizontal stripes. Each stripe is red, white or blue. Stripes next to each other must have different colors, and all three colors must be used. How many different flags are possible?
Q22. Five children ran a race and there were no ties.
• Fay finished before Gus, but not right before him.
• Hal finished right after Jo.
• Ivy was neither first nor last.
• Jo finished after Ivy.
Who finished second?
Q23. The dots are 1 cm apart. What is the area of the shaded shape?
Q24. How many three-digit numbers have digits that add up to 5? (For example, 203 is one of them.)
Q25. Each of the numbers 1, 2, 3, 4, 5 and 6 is written in one of the circles, so that the three numbers along each side of the triangle add up to the same total. What is the largest possible total?
Q26. A box of size 5 × 4 × 3 is built from 60 small cubes. The outside of the box is painted, and then it is taken apart into the small cubes. How many small cubes have paint on exactly two faces?
Q27. Nora had some candies. She gave her brother half of her candies and then 1 more. Then she gave her friend half of the candies she had left and then 1 more. Now Nora has 2 candies left. How many candies did she have at the start?
Q28. The digits 0 to 9 can be made from matchsticks like this. Tom uses exactly 11 matchsticks to make a whole number (it does not start with 0). What is the largest number he can make?
Q29. Five teams play a tournament. Each team plays every other team once. A win gives 3 points, a draw gives 1 point to each team, and a loss gives 0 points. At the end the five teams have 26 points altogether. How many games ended in a draw?
Q30. A 2 × 5 board is to be covered completely with five 1 × 2 dominoes, without overlaps. One way is shown. How many different ways are there altogether?
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