Grade 3 Operations & Algebraic Thinking Practice — Hard

Question 1 of 27Score 0/0Hard

Question 1 of 27: Which of the following has the GREATEST product?

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Keep going: Read the lesson: Introduction to Multiplication Multiplication Grid
Answer key for parents & teachers (27 questions)
  1. Which of the following has the GREATEST product? — 2 × 12. 3×7=21; 4×6=24; 5×5=25; 2×12=24. Actually 5×5=25 is greatest! Correction: 5×5=25 is the greatest.
  2. Sam buys 8 packs of stickers. Each pack has 7 stickers. How many stickers does he buy? — 56. 8 × 7 = 56 stickers!
  3. There are 9 boxes. Each box has 9 pencils. How many pencils in all? — 81. 9 × 9 = 81. Use the 9-trick: 9 × 9 = (10 × 9) − 9 = 90 − 9 = 81!
  4. A school bus has 6 rows of seats, each with 4 seats. How many seats on the bus? — 24. 6 × 4 = 24 seats total!
  5. Can you divide 5 by 0? — No — dividing by 0 is undefined. Dividing by 0 is undefined — it has no answer. You cannot split something into 0 groups!
  6. Sam has 48 marbles. He puts 8 in each bag. How many bags does he fill? — 6. 48 Ãˇ 8 = 6 bags!
  7. A farmer has 72 eggs to pack in cartons of 8. How many cartons does he need? — 9. 72 Ãˇ 8 = 9 cartons!
  8. True or False: 15 Ãˇ 3 = 5 AND 15 Ãˇ 5 = 3. — True — fact family. True! 3, 5, and 15 form a multiplication/division fact family!
  9. A ribbon 56 cm long is cut into equal pieces of 7 cm each. How many pieces? — 8. 56 Ãˇ 7 = 8 pieces!
  10. Which equation is in the same fact family as 6 × 9 = 54? — 54 Ãˇ 6 = 9. 54 Ãˇ 6 = 9 is in the same fact family as 6 × 9 = 54!
  11. A student uses 9 × (10 − 1) to find 9 × 9. Which property is being used? — Distributive. Distributing over subtraction: 9 × (10 − 1) = (9 × 10) − (9 × 1) = 90 − 9 = 81. Distributive Property!
  12. Simplify: 3 × 5 × 2 by choosing the easiest grouping. — Both give 30 — use any grouping. By the Associative Property, any grouping gives 30. Choose the most convenient one!
  13. Which property cuts the number of multiplication facts you need to memorize roughly in half? — Commutative property. The Commutative Property means 4×7 and 7×4 are the same — you need to memorize only HALF the table!
  14. Which property helps you break 7 × 8 into simpler parts? — Distributive — split one factor. Distributive: 7 × 8 = 7 × (5 + 3) = 35 + 21 = 56. Break a hard fact into two easier ones!
  15. What is 6 × 8 using Distributive Property with 8 = 4 + 4? — 48. 6 × 8 = (6 × 4) + (6 × 4) = 24 + 24 = 48!
  16. Calculate 4 × 25 using Distributive Property: 4 × (20 + 5). — 100. 4 × 20 = 80 and 4 × 5 = 20. 80 + 20 = 100!
  17. True or False: The Associative Property applies to both multiplication AND addition. — True. True! Both addition and multiplication have the Associative Property.
  18. Which property is being used? 2 × 3 × 5 = 2 × 5 × 3 — Only Commutative. Swapping the positions of 3 and 5 uses the Commutative Property!
  19. Find the product: 2 × 8 × 3 (use any order). — 48. 2 × 8 = 16; 16 × 3 = 48. Or 2 × 3 = 6; 6 × 8 = 48. Either way, 48!
  20. Fill in: 6 × ___ = 48 — 8. 6 × 8 = 48. Think: what times 6 equals 48?
  21. Fill in: ___ × 7 = 63 — 9. 9 × 7 = 63. Think: what times 7 equals 63?
  22. Tom multiplies 4 × 10 and gets 40. Sally multiplies 10 × 4. What is her answer? — 40. By the Commutative Property, 10 × 4 = 4 × 10 = 40!
  23. True or False: 54 Ãˇ 9 = 6 and 54 Ãˇ 6 = 9 are both correct. — True — fact family. True! They are in the same fact family: 6, 9, 54.
  24. Fill in: 28 Ãˇ ___ = 4 — 7. 28 Ãˇ 7 = 4. Think: 7 × 4 = 28!
  25. Fill in: ___ Ãˇ 8 = 9 — 72. 72 Ãˇ 8 = 9. Think: 8 × 9 = 72!
  26. Which is the correct related multiplication for 63 Ãˇ 9 = 7? — 9 × 7 = 63. Division and multiplication are inverses. 63 Ãˇ 9 = 7 ↔ 9 × 7 = 63!
  27. A ribbon 48 cm is cut into 6 equal pieces. How long is each? — 8 cm. 48 Ãˇ 6 = 8 cm each. Think: 6 × 8 = 48!