Solve Multiplication and Division Problems - 3rd Grade Math

1. Which equation represents "$x$ bags with $5$ apples each equals $40$ apples"?

   $5x = 40$. Bags times apples per bag equals total apples.

2. What is the unknown in $n \div 4 = 6$?

   $n = 24$. Since $24 \div 4 = 6$, the dividend is 24.

3. Identify the missing number: $9 \times \square = 81$.

   $\square = 9$. Since $9 \times 9 = 81$, the missing factor is 9.

4. What equation matches: 24 cookies shared equally into 6 boxes (each box unknown)?

   $24 \div 6 = n$. Division splits a total into equal parts.

5. What equation matches "$g$ groups of $6$ items each makes $42$ items"?

   $6g = 42$. Multiply groups by items per group to get total.

6. What is the unknown in $n \times 8 = 56$?

   $n = 7$. Since $7 \times 8 = 56$, the missing factor is 7.

7. What does the phrase "equal groups" mean in a multiplication word problem?

   Groups with the same number of items in each group. Each group contains the same quantity of objects.

8. What division equation matches an array with 30 dots arranged as 5 equal rows?

   $30 \div 5 = 6$. Divide total dots by rows to find dots per row.

9. What is the total number of objects in an array with $5$ rows and $6$ columns?

   $30$. Multiply rows by columns: $5 \times 6 = 30$.

10. What is the total distance in meters for 8 jumps of 3 meters each?

    $8 \times 3 = 24$ meters. Multiply number of jumps by distance per jump.

11. What does the phrase "array" mean in a multiplication word problem?

    Objects arranged in equal rows and equal columns. A rectangular arrangement with uniform rows and columns.

12. What is the number of columns in an array with $27$ objects and $3$ rows?

    $9$ columns. Divide total objects by number of rows: $27 \div 3 = 9$.

13. What is the number of groups if there are 48 items with 6 items in each group?

    $48 \div 6 = 8$. Divide total by items per group to find number of groups.

14. Which equation represents: 48 muffins placed equally on 6 trays gives 8 per tray?

    $48 \div 6 = 8$. Divide total by containers to find items per container.

15. Which operation should you use to find items per group for $72$ items in $8$ equal groups?

    Divide: $72 \div 8$. Division splits total into equal groups.

16. What is the missing dividend in $\_ \div 6 = 9$?

    $54$. Find what divided by $6$ equals $9$: $9 \times 6 = 54$.

17. Which equation represents: 6 trays hold 8 muffins each, so 48 muffins total?

    $6 \times 8 = 48$. Multiply containers by items per container for total.

18. What is the missing divisor in $56 \div \_ = 8$?

    $7$. Find what divides $56$ to get $8$: $56 \div 8 = 7$.

19. What is the unknown in $5 \times n = 45$?

    $n = 9$. Since $5 \times 9 = 45$, the missing factor is 9.

20. What operation should you use for 6 equal groups with 4 in each group?

    Use multiplication: $6 \times 4$. Equal groups mean repeated addition, which is multiplication.

21. What is the number of groups if $45$ items are put into groups of $9$ items each?

    $5$ groups. Divide total by items per group: $45 \div 9 = 5$.

22. Which operation should you use to find the total in $9$ groups of $4$ items?

    Multiply: $9 \times 4$. Multiplication finds total from equal groups.

23. What is the time if you travel $60$ miles at $10$ miles per hour?

    $6$ hours. Divide distance by speed: $60 \div 10 = 6$ hours.

24. What is the unknown in the equation $63 \div 9 = n$?

    $n = 7$. Calculate $63 \div 9$ to find the quotient.

25. What is the total distance if you walk $7$ meters each minute for $8$ minutes?

    $56$ meters. Multiply rate by time: $7 \times 8 = 56$ meters.

26. What is the number of rows in an array with $24$ objects and $6$ objects in each row?

    $4$ rows. Divide total objects by objects per row: $24 \div 6 = 4$.

27. What is the unknown in $63 \div n = 9$?

    $n = 7$. Since $63 \div 7 = 9$, the divisor is 7.

28. What is the total if there are $7$ equal groups with $8$ items in each group?

    $56$. Multiply groups by items per group: $7 \times 8 = 56$.

29. What is the unknown in the equation $8 \times n = 56$?

    $n = 7$. Divide both sides by $8$: $56 \div 8 = 7$.

30. What is the length of each piece if 72 inches of ribbon is cut into 9 equal pieces?

    $72 \div 9 = 8$ inches. Divide total length by number of pieces for length per piece.

31. What equation matches: 7 bags with 3 marbles in each bag (total unknown)?

    $7 \times 3 = n$. Equal groups multiply to find the total.

32. What is the total in 9 equal groups of 6 items?

    $9 \times 6 = 54$. Multiply groups by items per group for total.

33. What is the number in each group if $48$ items are shared equally into $6$ groups?

    $8$. Divide total by number of groups: $48 \div 6 = 8$.

34. What equation matches "$35$ items shared equally into $5$ groups gives $x$ per group"?

    $35 \div 5 = x$. Division finds how many items go in each group.

35. What is the number of 4-foot sections in 28 feet of rope?

    $28 \div 4 = 7$ sections. Divide total length by section size to count sections.

36. What operation should you use to find how many groups of 5 are in 35?

    Use division: $35 \div 5$. Division finds how many equal groups fit into a total.

37. What is the number in each group if 56 items are split into 7 equal groups?

    $56 \div 7 = 8$. Divide total by number of groups to find items per group.

38. What is the missing factor in $\_ \times 7 = 49$?

    $7$. Find what times $7$ equals $49$: $49 \div 7 = 7$.

39. What multiplication equation matches an array with 4 rows and 6 columns?

    $4 \times 6 = 24$. Arrays multiply rows by columns for total items.

40. Identify the missing number: $64 \div \square = 8$.

    $\square = 8$. Since $64 \div 8 = 8$, the divisor is 8.

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