Math Kangaroo-style Practice Test 1 (Grade 2)
A free Math Kangaroo competition practice paper for Grade 2 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. No calculator. Each question has one correct answer out of five. Answer every question: there is no penalty for a wrong answer. In the real contest, Section A questions are worth 3 points, Section B questions 4 points and Section C questions 5 points; 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. Mia puts beads on a string in this order: red, blue, blue, yellow, red, blue, blue, yellow, and so on. What color is the 15th bead?
Q2. The numbers follow a rule. Which number goes in the empty box?
Q3. One piece is missing from the square. Which piece fits exactly into the gap? (You may turn the piece around.)
Q4. Both scales are balanced. How many cubes weigh the same as one cone?
Q5. A kangaroo starts at 0 on a number line. Each hop takes it 3 steps forward. On which number can it land?
Q6. Ann is 7 years old. Her brother is 3 years older than Ann. How old will her brother be in 4 years?
Q7. Leo turns this card around on the table. He does not flip it over. Which picture can he see?
Q8. A pencil is as long as 3 paper clips. A ruler is as long as 4 pencils. How many paper clips long is the ruler?
Q9. Lily writes all the numbers from 1 to 25. How many times does she write the digit 2?
Q10. Max has many 5-cent coins and many 2-cent coins. He wants to pay exactly 17 cents with as few coins as possible. How many coins does he use?
Q11. Each row and each column must have the numbers 1, 2, 3 and 4, one in each square. What is the sum of the numbers in the two shaded squares?
Q12. A square piece of paper is folded in half. Then two holes are punched through it, as shown. What does the paper look like when it is opened?
Q13. Ann is taller than Ben. Cara is shorter than Ben. Dan is taller than Ann. Eva is taller than Cara but shorter than Ben. Who is the second shortest?
Q14. Sam thinks of a number. He adds 5 to it. Then he doubles the result. He gets 24. What number did Sam think of?
Q15. How many squares can you find in this picture? (Count squares of every size.)
Q16. A movie starts at 4:45 in the afternoon. It lasts 1 hour and 30 minutes. At what time does it end?
Q17. Put the numbers 1, 2, 3, 4 and 5 in the circles, one number in each circle. The three numbers across add up to 10. The three numbers down also add up to 10. Which number is in the middle circle?
Q18. How many two-digit numbers have digits that add up to 6? (For example, 24 is one of them, because 2 + 4 = 6.)
Q19. An apple and a pear cost 10 cents together. A pear and a banana cost 13 cents together. An apple and a banana cost 11 cents together. How much does the banana cost?
Q20. Figures are made from sticks. Figure 1 has 1 triangle, Figure 2 has 2 triangles, Figure 3 has 3 triangles, and so on. How many sticks are needed for Figure 10?
Q21. Five friends each send one card to every other friend in the group. How many cards are sent in all?
Q22. An ant walks along the lines from A to B. It only walks up or to the right. How many different ways can it go?
Q23. A month has 31 days. The 1st day of the month is a Saturday. What day of the week is the 31st day?
Q24. The two cards are see-through, but the colored squares are not. Card 2 is turned over, like turning a page in a book. Then it is placed exactly on top of Card 1. What do you see?
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