Math Kangaroo-style Practice Test 1 (Grade 3)
A free Math Kangaroo competition practice paper for Grade 3 in the format of the real test: 24 questions in 75 minutes, covering Section A — 3-point questions; Section B — 4-point questions; Section C — 5-point questions. 75 minutes, no calculator. Each question has one correct answer out of five (A–E). In the real contest Section A questions are worth 3 points, Section B 4 points and Section C 5 points, and there is no penalty for a wrong answer, so answer every question. Attempt it online — every question is marked instantly and the correct answers are shown at the end.
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Q1. Mia's piano lesson starts at 3:45 in the afternoon and lasts 50 minutes. At what time does the lesson end?
Q2. Rosa threads beads on a string. She keeps repeating the same pattern, as shown. What shape is the 23rd bead?
Q3. Ben has exactly three coins in his pocket. Each coin is a 5-cent, 10-cent or 25-cent coin (he may have more than one of the same kind). Which amount can he not have?
Q4. The green square has a hole in it. Which piece fills the hole exactly? (The piece may be turned over.)
Q5. Children are standing in a row. Jo is the 3rd child from the left and the 5th child from the right. How many children are in the row?
Q6. A caterpillar is 9 cm long. A snake is 4 times as long as the caterpillar. A worm is 10 cm shorter than the snake. How long is the worm?
Q7. How many triangles can you find in this picture?
Q8. Five friends ran a race. Ali finished ahead of Ben. Cara finished behind Dan but ahead of Ali. Eve finished right after Cara. Who finished third?
Q9. Kira writes all the whole numbers from 1 to 40. How many times does she write the digit 2?
Q10. Today is Wednesday. What day of the week will it be 100 days from today?
Q11. Both scales are balanced. All cubes weigh the same, all cans weigh the same and all balls weigh the same. How many balls weigh the same as 2 cans?
Q12. This net is folded to make a cube. Which number is on the face opposite the face with 1?
Q13. Ella has three cards with the digits 2, 0 and 7. She makes two-digit numbers using two of the cards (a two-digit number cannot start with 0). How many different two-digit numbers can she make?
Q14. A frog starts at 0 on a number line. It jumps 5 forward, then 2 back, then 5 forward, then 2 back, and so on. On which jump does it land on 20 for the first time?
Q15. The table shows how many stickers five friends have. Ann gives 4 stickers to Ben. Then Cal gives half of his stickers to Dee. Who has the most stickers now?
Q16. Lily turns this card a quarter turn clockwise (like the hands of a clock). Which picture shows the card after the turn?
Q17. Ann, Bob and Cy each either always tell the truth or always lie. Ann says: "Bob is a liar." Bob says: "Cy is a liar." Cy says: "Ann and Bob are both liars." How many of them tell the truth?
Q18. How many rectangles of any size can you find in this picture? (Squares count as rectangles too.)
Q19. Kim writes the numbers 1, 2, 3, 4, 5 and 6 in the circles, one number in each circle, so that the three numbers along each side of the triangle add up to 10. What is the sum of the three numbers in the corner circles?
Q20. Grandma baked some cookies. She gave half of them to Ann. Then she gave 3 cookies to Ben. Then she gave half of the cookies she had left to Cy. Now Grandma has 4 cookies. How many cookies did she bake?
Q21. A square sheet of paper is folded in half from right to left (1), then folded in half again from bottom to top (2). Then one hole is punched through all the layers (3). What does the paper look like when it is unfolded?
Q22. K and A stand for digits, and KA and AK are two-digit numbers. For example, if K = 3 and A = 5, then KA is 35 and AK is 53. If KA + AK = 99, how many different numbers can KA be?
Q23. An ant walks along the lines from S to F. It only moves to the right or upward. The street marked with a red X is closed. How many different routes can the ant take?
Q24. Ann, Ben, Cara, Dee and Eli sit in a row on a bench. Ben sits at one end. Ann sits next to Ben. Cara sits between Dee and Eli, right next to both of them. Dee does not sit at an end. Who sits in the middle of the bench?
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