Grade 3 Operations & Algebraic Thinking Practice

Question 1 of 41Score 0/0Medium

Question 1 of 41: Which model shows 3 × 5?

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Keep going: Read the lesson: Introduction to Multiplication Multiplication Grid
Answer key for parents & teachers (41 questions)
  1. Which model shows 3 × 5? — Both represent 3 × 5. Both 3 baskets of 5 AND 5 baskets of 3 give 15 — they are both valid models of multiplication with the same product!
  2. What is 7 × 4? — 28. 7 × 4 = 28. Count by 4s seven times: 4, 8, 12, 16, 20, 24, 28!
  3. A carton holds 8 eggs. There are 3 cartons. How many eggs? — 24. 3 × 8 = 24 eggs total!
  4. What is 9 × 8? — 72. 9 × 8 = 72. One strategy: 9 × 8 = (10 × 8) − 8 = 80 − 8 = 72!
  5. A spider has 8 legs. There are 5 spiders. How many legs in all? — 40. 5 × 8 = 40 legs total!
  6. If 3 × 6 = 18, which of these is also correct? — 6 and 3 are factors of 18. In 3 × 6 = 18, the numbers 3 and 6 are FACTORS, and 18 is the PRODUCT!
  7. What does it mean for multiplication to be a shortcut for addition? — It adds the same number repeatedly in one step. Multiplication lets you add equal groups in one fast step instead of repeated addition!
  8. There are 7 days in a week. How many days in 4 weeks? — 28. 4 × 7 = 28 days in 4 weeks!
  9. A baker makes 6 trays of 9 muffins. How many muffins in all? — 54. 6 × 9 = 54 muffins!
  10. What is 36 ÷ 9? — 4. 36 ÷ 9 = 4. Check: 9 × 4 = 36!
  11. What is 45 ÷ 5? — 9. 45 ÷ 5 = 9. Count by 5s: 5, 10, 15, 20, 25, 30, 35, 40, 45 — that is 9 hops!
  12. If 4 × 7 = 28, what is 28 ÷ 4? — 7. Division undoes multiplication. If 4 × 7 = 28, then 28 ÷ 4 = 7!
  13. A class of 24 students is split into groups of 6. How many groups? — 4. 24 ÷ 6 = 4 groups!
  14. 30 apples go into boxes of 5. How many boxes? — 6. 30 ÷ 5 = 6 boxes!
  15. What is 56 ÷ 8? — 7. 56 ÷ 8 = 7. Think: 8 × 7 = 56!
  16. What is 63 ÷ 7? — 9. 63 ÷ 7 = 9. Check: 7 × 9 = 63!
  17. Can you divide 0 by 5? What is the answer? — 0. 0 ÷ 5 = 0. Zero things shared equally still gives zero each!
  18. What is 81 ÷ 9? — 9. 81 ÷ 9 = 9. Check: 9 × 9 = 81!
  19. Which multiplication fact helps you solve 42 ÷ 6? — 6 × 7 = 42. 6 × 7 = 42, so 42 ÷ 6 = 7!
  20. Use the Distributive Property: 6 × 7 = 6 × (5 + 2) = ? — 42. 6 × 5 = 30 and 6 × 2 = 12. 30 + 12 = 42!
  21. Which is the IDENTITY element for multiplication? — 1. Multiplying by 1 leaves a number unchanged: 5 × 1 = 5. One is the multiplicative identity!
  22. Use Distributive Property to find 8 × 7: 8 × (5 + 2) = ? — (8×5)+(8×2). 8 × 7 = 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56!
  23. (4 × 5) × 3 = 4 × (5 × 3). What is the product? — 60. (4 × 5) × 3 = 20 × 3 = 60. OR 4 × (5 × 3) = 4 × 15 = 60. Same answer!
  24. Using Distributive Property, compute 5 × 13 by splitting 13 = 10 + 3. — 65. 5 × 13 = (5 × 10) + (5 × 3) = 50 + 15 = 65!
  25. Compute (3 × 2) × 5 using the Associative Property. — Both give 30. (3 × 2) × 5 = 6 × 5 = 30. OR 3 × (2 × 5) = 3 × 10 = 30. Both give 30!
  26. Which equation shows the Distributive Property? — 7 × (2 + 3) = (7 × 2) + (7 × 3). a × (b + c) = (a × b) + (a × c) is the Distributive Property!
  27. Which property allows this: 6 × (4 + 1) = 6 × 4 + 6 × 1? — Distributive. Distributing 6 over the sum (4 + 1) is the Distributive Property!
  28. What is 7 × 8? — 56. 7 × 8 = 56. A frequently confused fact — 5, 6, 7, 8: 56 = 7 × 8!
  29. What is 9 × 6? — 54. 9 × 6 = 54. Digit sum of 54 is 5 + 4 = 9 — a sign this is a 9-times fact!
  30. What is 8 × 8? — 64. 8 × 8 = 64. A square number — 8 squared!
  31. Use the ×9 finger trick: what is 9 × 4? — 36. Fold the 4th finger: 3 fingers left, 6 right = 36. 9 × 4 = 36!
  32. Which strategy finds 9 × 8 fastest? — All three give 72. All three strategies give 72! Choose whichever feels fastest for you.
  33. What is 5 × 9? — 45. 5 × 9 = 45. Ends in 5 — a ×5 fact always ends in 0 or 5!
  34. What is 4 × 9? — 36. 4 × 9 = 36. Digit sum: 3 + 6 = 9 — confirms it is a 9-times answer!
  35. What is 64 ÷ 8? — 8. Think: 8 × 8 = 64. So 64 ÷ 8 = 8!
  36. If 9 × 8 = 72, what is 72 ÷ 9? — 8. 9 × 8 = 72, so 72 ÷ 9 = 8!
  37. What is 49 ÷ 7? — 7. Think: 7 × 7 = 49. So 49 ÷ 7 = 7!
  38. What two division facts come from 8 × 6 = 48? — 48 ÷ 6 = 8 and 48 ÷ 8 = 6. Fact family: 8 × 6 = 48 gives 48 ÷ 6 = 8 AND 48 ÷ 8 = 6!
  39. What is 54 ÷ 6? — 9. Think: 6 × 9 = 54. So 54 ÷ 6 = 9!
  40. A bag of 56 apples is split into 7 equal groups. How many per group? — 8. 56 ÷ 7 = 8. Think: 7 × 8 = 56!
  41. Solve: 90 ÷ 9 — 10. 9 × 10 = 90. So 90 ÷ 9 = 10!