imo worksheet for grade 3

 IMO-Style Math Problems for Grade 3

Problem 1: Add the three smallest two-digit prime numbers and subtract 15. What is the result?

Problem 2: A fruit vendor has 56 apples, 42 oranges, and 28 bananas. He wants to pack them into identical baskets with the same number of each fruit in each basket. What is the greatest number of baskets he can prepare with all the fruits?

Problem 3: Find the missing number in the following pattern: 2, 5, 8, __, 14, 17

Problem 4: In a school library, there are 485 fiction books, and 312 non-fiction books. How many more fiction books are there than non-fiction books?

Problem 5: A farmer has 315 eggs to distribute equally among 9 baskets. How many eggs will be in each basket, and will there be any eggs left?

Problem 6: Peter has a collection of stamps. He has 3 albums, and each album has 36 pages. If he places the same number of stamps on each page, and he wants to have 400 stamps left unused, how many stamps does he need in total?

Problem 7: A square garden is divided into four equal smaller squares by two straight paths that cross each other at the center of the garden. If each side of the smaller square is 2 meters long, what is the perimeter of the garden?

Problem 8: A class has 32 students. The teacher wants to divide the students into groups, with no students left over. What are all the possible group sizes the teacher can use?

Problem 9: There are 75 students in Grade 3. If 45% of them prefer apples, 30% prefer bananas, and the rest prefer oranges, how many students prefer oranges?

Problem 10: A bakery sells muffins in packs of 5. If Janet wants to buy 12 muffins, how many packs does she need to buy, and how many muffins will be left?

Bonus Problem: Solve the following riddle: I am a number between 20 and 30. When you divide me by 3, the remainder is 1. When you divide me by 4, the remainder is 2. What number am I?

Remember to show your work and use diagrams or illustrations where necessary. Happy problem-solving!