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Abacus · Ages 7+ · Set A
Take away three rows
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A
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Goal: 15 min
Score/ 14
Remember: Start at the ones. Any row with too few borrows from the row above.

Read and answer

Read the story, then answer.

The sticker boxMia and Ben sold stickers at the fair. Their box held three pages, four strips and six singles. A page holds one hundred stickers, a strip ten and a single just one. Zoe's class wanted one page, five strips and eight singles. Mia started with the singles, but she had six and eight were wanted. That was too few, so she opened a strip. Next came the strips: only three were left but five were wanted, so one page split into ten strips. Then she took the page. One page, eight strips and eight singles stayed in the box.
1
How many stickers did Mia have in her box at the start?
2
How many stickers were left after Zoe's class?
3
How many stickers are on one page?
101001000
4
Mia had enough singles for the 8 that Zoe's class wanted.
TrueFalse

On the frame

Start at the ones row and work up.

5
What number does this frame show?
436346364
6
The frame shows 375. Take away 142. 375 - 142 =
7
The ones row is too short. 462 - 138 =
8
This one borrows twice. 541 - 267 =
9
The tens row has nothing to lend. 602 - 345 =
10
Circle every row that is too short in 534 - 278.
the hundreds rowthe tens rowthe ones row

Order, fix it and stretch

11
Number the steps for three rows.
  • Finish with the hundreds row
  • Start at the ones row and borrow if too few
  • Look at each row: which are too short?
  • Move to the tens row and borrow if too few
12
Borrowing twice is just two trades, one after the other.
TrueFalse
13
Ben did 531 - 247 and got 316. What did he do?
He took the smaller digit from the bigger one in every rowHe borrowed too many timesHe added
14
Nothing to lend in two rows. 800 - 365 =
15
Which group did you have to open in 462 - 138? Say why.
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Answer key · Set A
Take away three rows
1346 3 pages, 4 strips and 6 singles is 346.
2188 346 take away 158 leaves 1 page, 8 strips and 8 singles.
3100 A page holds one hundred, a strip ten and a single just one.
4False She had only 6 singles, which is too few, so she opened a strip.
5346 3 hundreds, 4 tens and 6 ones is 346.
6233 No row is too short: 3 - 1 = 2 hundreds, 7 - 4 = 3 tens, 5 - 2 = 3 ones.
7324 Open a ten: 12 - 8 = 4 ones. Then 5 tens - 3 tens = 2 tens, and 4 - 1 = 3 hundreds.
8274 Ones: open a ten, 11 - 7 = 4. Tens: open a hundred, 13 - 6 = 7. Hundreds: 4 - 2 = 2.
9257 Open the hundred first, then a ten. 12 - 5 = 7 ones, 9 - 4 = 5 tens, 5 - 3 = 2 hundreds.
10the tens row, the ones row 4 ones cannot lose 8, and 3 tens cannot lose 7. The hundreds row has 5 and loses 2.
114, 2, 1, 3 Spot the short rows first, then work from the ones up.
12True A page trades for ten strips, and then a strip trades for ten singles.
13He took the smaller digit from the bigger one in every row He did 7 - 1, 4 - 3 and 5 - 2 instead of borrowing. The answer is 284.
14435 Open the hundred, then a ten: 7 hundreds, 9 tens, 10 ones. 10 - 5 = 5, 9 - 6 = 3, 7 - 3 = 4.
15Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.