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Abacus · Ages 7+ · Set A
Sharing equally
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Goal: 15 min
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Remember: Sharing equally means the same for everyone. The answer is one share, and you can check it by multiplying back.

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Cookies for threeBen baked fifteen cookies for the fair. Mia, Pip and Ben wanted to share them fairly. First Mia took a big pile, while Pip and Ben got only two each. That was not fair, because fair means the same for everyone. So Ben dealt the cookies like cards, one for Mia, one for Pip and one for himself, round and round, until the tray was empty. Then there were three piles, all the same. Ben counted one pile. That pile is the answer to the sharing, because it tells how many each friend gets.
1
Equal sharing means everyone gets the same amount.
TrueFalse
2
Why was Mia's big pile not fair?
Cookies go to the oldest firstFair means the same for everyoneCookies stay on the tray
3
Fifteen cookies are shared by three friends. Each friend gets .
4
In 15 ÷ 3, what does the answer tell us?
how many each friend getshow many friends there arehow many cookies there are
5
Which frame shows one friend's share of 15 ÷ 3?
A
B
C
6
Check by multiplying back. 3 × 5 =

Share and check

7
21 ÷ 3 = 7. Which sum checks it?
3 × 7 = 213 + 7 = 1021 + 3 = 24
8
Join each sharing to one friend's share.
  1. 114 ÷ 2
  2. 224 ÷ 3
  3. 336 ÷ 4
  4. 420 ÷ 5
  • A4
  • B9
  • C7
  • D8
9
Twelve shared by four gives eight each.
TrueFalse
10
The frame shows one bag of marbles. There are 4 bags the same. How many marbles in all?
11
Mia dealt 12 crackers to 3 plates and said each plate gets 3. Ben says that is wrong. Who is right?
Mia: three threes make twelveBoth of themBen: each plate gets 4, because 3 × 4 = 12
12
Put the steps of equal sharing in order.
  • Count the things to share
  • Count one pile: that is the share
  • Stop when none are left
  • Deal them out one at a time
13
Stretch: Mia shares 18 stickers equally among 3 friends. How many stickers do two of the friends have together?
14
Draw one share of 12 beads shared among 4 piles on the empty frame.
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Answer key · Set A
Sharing equally
1True Fair means the same for everyone.
2Fair means the same for everyone Equal sharing gives every friend the same number.
35 Deal one at a time to three piles: each pile has five.
4how many each friend gets The answer is one share: what each friend gets.
5C One row with five beads across shows each friend's share. Three is the number of friends and 15 is all the cookies.
615 Three piles of five make fifteen, which matches the tray.
73 × 7 = 21 Multiply back: three sevens make twenty-one.
81-C, 2-D, 3-B, 4-A
9False Four shares of 3 make 12, so each gets 3. Eight is 12 take away 4, which is not sharing.
1028 Four bags of seven: 7, 14, 21, 28. Multiplying back finds the whole.
11Ben: each plate gets 4, because 3 × 4 = 12 Three threes make 9, not 12. Three plates of 4 make 12.
121, 4, 3, 2 Deal one at a time, round and round, then count one pile.
1312 18 ÷ 3 is 6 each, so two friends have 6 + 6 = 12.
Mark each answer, count the right ones and write the score on the sheet.