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Abacus · Ages 7+ · Set A
Dividing by one digit
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Goal: 15 min
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Remember: Share the tens first, trade any leftover ten down for ten ones, then share the ones. Multiply back to check.

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Fifty-two beadsMia had fifty-two beads for the stall and wanted four bracelets, all the same. Ben sorted the beads into five bags of ten and two loose beads. Four bracelets meant four piles, so he shared the tens first: one bag of ten went to each pile. One bag was left over, and it could not be cut into four. So Pip untied the ribbon and ten beads spilled out. One ten trades down for ten ones, which is the trade in reverse. Now there were twelve loose ones to share, one for each pile, round and round.
1
Each of the four piles gets one bag of ten. How many bags are left over?
noneonetwo
2
One bag of ten is left over and cannot be cut into four. What does Pip do?
Trade it down for ten onesThrow it awayTrade it up for a hundred
3
Ten loose beads and two more make ones to share.
4
Twelve ones are shared by four piles. Each pile gets ones.
5
Which frame shows one pile's share of 52 ÷ 4?
A
B
C
6
Which sum checks 72 ÷ 3 = 24?
3 + 24 = 273 × 24 = 7272 + 3 = 75

Share big numbers

7
In 68 ÷ 2 no ten is left over. Each pile gets 3 tens and 4 ones.
TrueFalse
8
Eight tens shared by four piles gives two tens each, so 84 ÷ 4 is 12.
TrueFalse
9
In 72 ÷ 3, each pile gets 2 tens from the 7 tens. How many tens are left over?
10
Mia says 65 ÷ 5 = 11. What did she miss?
She left out the ten that was left overNothing, 11 is rightShe should start with the ones
11
Join each sharing to one share.
  1. 148 ÷ 4
  2. 290 ÷ 5
  3. 396 ÷ 6
  4. 469 ÷ 3
  • A12
  • B16
  • C18
  • D23
12
Put the steps in order.
  • Multiply back to check
  • Share the tens
  • Share the ones
  • Trade a leftover ten down for ten ones
13
Stretch: seventy-two beads are shared by six piles. Each pile gets .
14
Draw one pile's share of 48 ÷ 4 on the empty frame.
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Answer key · Set A
Dividing by one digit
1one Five bags in four piles leaves one bag over.
2Trade it down for ten ones One ten trades down for ten ones. It is the trade in reverse, and nothing is lost.
312 Ten ones from the traded bag and the two loose ones make twelve.
43 Round and round: three ones for each pile, none left over.
5C Each pile has one ten and three ones, 13. The frame with 3 tens and 1 one has the digits the wrong way round.
63 × 24 = 72 Multiply back: three piles of 24 make 72.
7True 6 tens shared by 2 piles is 3 tens each, and 8 ones shared by 2 is 4 each: 34.
8False Two tens and one one make 21, not 12. The tens come first.
91 Three piles with 2 tens use 6 tens. 7 tens take away 6 leaves 1 ten, which trades down.
10She left out the ten that was left over 6 tens shared by 5 leaves 1 ten, which trades down to 10 more ones: 15 ones shared by 5 is 3 each, so 65 ÷ 5 = 13.
111-A, 2-C, 3-B, 4-D
124, 1, 3, 2 Tens first, then a ten traded down, then the ones.
1312 7 tens shared by 6 gives 1 ten and 1 left over. That ten trades down: 12 ones shared by 6 is 2 each. So each pile has 12.
Mark each answer, count the right ones and write the score on the sheet.