Formal written multiplication and division – Year 5 maths worksheet answers to download as PDF

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1. Answer to Question 1

   1. The digits move one place left: 470.
   2. Two places left: 4,700.
   3. Three places left: 47,000.
   4. 306 × 100 = 30,600.
   5. 5,200 × 10 = 52,000.

2. Answer to Question 2

   1. The digits move one place right: 830.
   2. Two places right: 83.
   3. 90,000 ÷ 1,000 = 90.
   4. 45,600 ÷ 100 = 456.
   5. 700 ÷ 10 = 70.

3. Answer to Question 3

   1. 1,234 × 3 = 3,702. Estimate: 1,000 × 3 = 3,000.
   2. 2,506 × 4 = 10,024. Estimate: 3,000 × 4 = 12,000.
   3. 3,978 × 6 = 23,868. Estimate: 4,000 × 6 = 24,000.
   4. 4,125 × 7 = 28,875. Estimate: 4,000 × 7 = 28,000.

4. Answer to Question 4

   1. 34 × 26: 34 × 6 = 204 and 34 × 20 = 680. Add: 884.
   2. 47 × 38: 47 × 8 = 376 and 47 × 30 = 1,410. Add: 1,786.
   3. 256 × 34: 256 × 4 = 1,024 and 256 × 30 = 7,680. Add: 8,704.
   4. 83 × 19: 83 × 9 = 747 and 83 × 10 = 830. Add: 1,577.

5. Answer to Question 5

   1. 756 ÷ 6 = 126. Check: 126 × 6 = 756.
   2. 1,284 ÷ 4 = 321. Check: 321 × 4 = 1,284.
   3. 2,835 ÷ 5 = 567. Check: 567 × 5 = 2,835.
   4. 9,072 ÷ 8 = 1,134. Check: 1,134 × 8 = 9,072.

6. Answer to Question 6

   1. 135 ÷ 4 = 33 remainder 3. Check: 33 × 4 + 3 = 135.
   2. 2,000 ÷ 7 = 285 remainder 5. Check: 285 × 7 + 5 = 2,000.
   3. 1,234 ÷ 9 = 137 remainder 1. Check: 137 × 9 + 1 = 1,234.
   4. 5,000 ÷ 6 = 833 remainder 2. Check: 833 × 6 + 2 = 5,000.

7. Answer to Question 7

   1. 52 × 4 = 208 seats.
   2. 208 − 187 = 21 empty seats, so there are enough.
   3. 187 × 9 = £1,683.
   4. 245 × 4 = £980.

8. Answer to Question 8

   1. 36 × 24 = 720 + 144 = 864 sweets.
   2. 864 × 10 = 8,640 sweets.
   3. 864 × 100 = 86,400: eighty-six thousand, four hundred.
   4. 8,640 ÷ 36 = 240 bags. Check: 240 × 36 = 8,640.

9. Answer to Question 9

   1. 45 × 38 = 1,350 + 360 = 1,710 seats. (45 × 30 = 1,350 and 45 × 8 = 360.)
   2. 2,610 ÷ 45 = 58 rows.
   3. 1,710 + 2,610 = 4,320 seats.
   4. 1,710 × 12 = 17,100 + 3,420 = £20,520.

10. Answer to Question 10

    1. 1,250 ÷ 5 = 250 g.
    2. 2,000 ÷ 8 = 250 g.
    3. 4,500 ÷ 9 = 500 g.
    4. 3 × 1,250 = 3,750 g. 3,750 ÷ 250 = 15 cakes.

11. Answer to Question 11

    1. 1,248 ÷ 8 = 156 books.
    2. 156 ÷ 24 = 6.5, so each pupil gets 6 books and there are 12 left over (6 × 24 = 144 and 156 − 144 = 12).
    3. 365 × 7 = £2,555.
    4. 2,000 ÷ 7 = 285 remainder 5, so 285 full boxes and 5 books left over.

12. Answer to Question 12

    1. 100 ÷ 6 = 16 remainder 4, so 16 full boxes.
    2. 4 eggs are left over.
    3. The 4 left-over eggs need another box, so he needs 17 boxes.
    4. 16 × 2.40 = £38.40.

13. Answer to Question 13

    1. 24 × 18 = 240 + 192 = 432 seats.
    2. 432 × 8 = £3,456.
    3. 432 − 365 = 67 empty seats.
    4. 1,000 ÷ 100 = 10 boxes.

14. Answer to Question 14

    1. 78 × 12 = 780 + 156 = 936 seats.
    2. 936 × 13 = 9,360 + 2,808 = £12,168.
    3. 96 × 3 = 288 miles.
    4. 288 ÷ 96 = 3 hours.

15. Answer to Question 15

    1. Hoopla: 176 × 3 = £528. Cake stall: 248 × 2 = £496. Face painting: 64 × 5 = £320. Tombola: 305 × 4 = £1,220.
    2. The tombola takes the most (£1,220).
    3. 528 + 496 + 320 + 1,220 = £2,564.
    4. 2,564 − 1,250 = £1,314.
    5. 1,314 ÷ 4 = 328 remainder 2, so each club gets £328.50 (the remaining £2 is shared as 50p each).

16. Answer to Question 16

    1. 2,000 ÷ 7 = 285 remainder 5. There are 285 full crates and 5 bottles left.
    2. The 5 spare bottles need another crate: 286 crates.
    3. 286 × 3 = £858.
    4. Each coach gets 285 bottles with 5 left over.
    5. In (a) we only count the full crates. In (b) every bottle must be packed, so we round up.

17. Answer to Question 17

    1. 1,304 ÷ 6 is not whole (6 × 217 = 1,302). The right answer is 234 × 6 = 1,404. Check: 1,404 ÷ 6 = 234.
    2. 349 × 4 = 1,396, not 1,596. 1,596 ÷ 4 = 399. So Cara is wrong.
    3. 1,935 ÷ 5 = 387. Check: 387 × 5 = 1,935.
    4. Work backwards: 1,000 − 56 = 944, then 944 ÷ 8 = 118.
    5. 12 × 25 = 300, 25 × 12 = 300, 300 ÷ 12 = 25, 300 ÷ 25 = 12.

18. Answer to Question 18

    1. 38 is about 40 and 52 is about 50. 40 × 50 = 2,000 packets.
    2. 52 × 38 = 52 × 8 + 52 × 30 = 416 + 1,560 = 1,976 packets.
    3. 2,000 − 1,976 = 24, so the estimate was very close.
    4. Estimate: 2,000 × 50p = £1,000. Exact: 1,976 × 45 = 88,920p = £889.20.

19. Answer to Question 19

    1. 148 × 25 = 148 × 100 ÷ 4 = 14,800 ÷ 4 = 3,700 trees.
    2. 3,700 × 40 = 148,000 apples.
    3. 148,000 ÷ 12 = 12,333 remainder 4, so 12,333 full trays and 4 apples left.
    4. 12,333 × 3 = £36,999.
    5. No, not exactly. 10 times the trees gives 1,480,000 apples, which fill 123,333 full trays. But 10 × 12,333 = 123,330. The 4 left-over apples are multiplied by 10 too, and the 40 apples fill 3 more trays, so there are 3 extra trays.

20. Answer to Question 20

    1. 2,178 × 4 = 8,712. The answer is 2,178 written backwards.
    2. 1,089 × 9 = 9,801, which is 1,089 written backwards, so yes.
    3. Searching all four-digit numbers by checking each one, only 2,178 works for × 4 (and 1,089 for × 9). A longer number such as 21,978 works too: 21,978 × 4 = 87,912.