Dividing by a one-digit number worksheet

Part A: Working out and filling in

1. 1. 10

   50 is 5 tens. Work out 5 ÷ 5 first, then think of it as that many tens.

   5 tens shared into 5 is 1 tens each: 10.

2. 2. 80

   560 is 56 tens. Leave the 0 aside, work out 56 ÷ 7, and put the 0 back at the end.

   560 is 56 tens: 56 ÷ 7 = 8, then the 0 back on, 80.

3. 3. 10, 2, 12

   Split 48 into 40 and 8, divide each by 4, then add the two answers.

   Tens: 40 ÷ 4 = 10; ones: 8 ÷ 4 = 2; 10 + 2 = 12.

4. 4. 927 ÷ 9 = 103

   927 ÷ 9: split it into 900 + 27, 900 ÷ 9 = 100, 27 ÷ 9 = 3, 100 + 3 = 103; so the quotient is 103

5. 5. 642 ÷ 6 = 107

   642 ÷ 6: split it into 600 + 42, 600 ÷ 6 = 100, 42 ÷ 6 = 7, 100 + 7 = 107; so the quotient is 107

6. 6. 272 ÷ 9 = 30 … 2

   272 ÷ 9: split it into 270 + 2, 270 ÷ 9 = 30, 2 is left, less than 9: the remainder; so the quotient is 30 and the remainder 2

7. 7. 1000

   2000 is 2 thousands. First think how many thousands 2 ÷ 2 gives.

   2000 is 2 thousands, and 2 ÷ 2 = 1, so 2000 ÷ 2 = 1000.

8. 8. 1442

   Divide place by place from the thousands: thousands, hundreds, tens and ones, each by 2.

   Divide place by place from the thousands; each place divides exactly: the quotient is 1442.

9. 9. 1332

   Start dividing at the thousands; whatever is left over joins the next place before you divide again.

   Start at the thousands; what is left over joins the next place: 9324 ÷ 7 = 1332. Check: 7 × 1332 = 9324.

10. 10. 5

    Work left to right, one step at a time: 30 ÷ 3 first.

    Left to right: 30 ÷ 3 = 10, 10 ÷ 2 = 5, so the answer is 5.

11. 11. 31

    Left to right: work out 496 ÷ 4, then divide that by 4.

    496 ÷ 4 = 124, 124 ÷ 4 = 31.

Part B: Choose, or true or false

1. 12. False

   Dividing by 4 and then 4 is the same as dividing once by what? Their sum or their product?

   Dividing by 4 and then by 4 is the same as dividing once by 4 × 4 = 16.

Part C: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

1. 13. 60 boxes

   8 to a box: find how many lots of 8 are in 480, which is 480 ÷ 8.

   How many 8s are there in 480? 480 ÷ 8 = 60.

2. 14. 20 stickers

   Sharing equally means dividing: 60 ÷ 3. Think of 60 as a number of tens.

   Sharing equally is division: 60 ÷ 3 = 20.

3. 15. Ming saves the same amount every week, and has saved $124 in 4 weeks. How many dollars does he save each week? (Answer: 31 dollars)

   124 ÷ 4 = 31

4. 16. 117 people go on a water trip, and each canoe takes at most 7. What is the smallest number of canoes they need? (Answer: 17 canoes)

   117 ÷ 7 = 16 R 5; the 5 left over need one too: 16 + 1 = 17

5. 17. 1860 boxes

   Work out 9297 ÷ 5 and see whether any eggs are left over. Those still need a box.

   9297 ÷ 5 = 1859 … 2; the 2 left over need one more box: 1859 + 1 = 1860.

6. 18. 5 children

   Work out one team first: 80 ÷ 4. Then split each team into 4 groups.

   80 ÷ 4 ÷ 4 = 5.