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Maths · Grade 3 · Set C
Two ways to cut
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C
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Goal: 15 min
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Remember: You can cut a rectangle across or down. Find each part's area and add. The sum is always the whole area.

Cut across and cut down

1
The rectangle is cut across. How many squares are in the top part?
2
Find both parts and add. How many squares cover the whole rectangle?
3
Which sentence matches the cut?
5 × 6 = 2 × 6 + 35 × 6 = 2 + 3 × 65 × 6 = 2 × 6 + 3 × 6
4
5 × 8 = 5 × 5 + 5 ×
5
3 × 4 + 3 × 5 =
6
Each square is 1 square meter. Cut the L shaped patio into rectangles. How many squares cover it?
7
A hall floor covers 31 square feet in all. One part covers 18 square feet. How many square feet does the other part cover?

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8
A 5 by 7 rectangle is cut in two parts. Which pair of areas could be the two parts?
5 × 3 and 5 × 55 × 4 and 5 × 45 × 2 and 5 × 5
9
A 4 by 9 rectangle is cut into 4 by 5 and 4 by 5. It covers the same area as before.
TrueFalse
10
🧺A mat has an area of 36 squares. It has 4 rows. How many squares are in each row?
11
Number the areas from the smallest to the largest.
  • 5 × 3 + 5 × 2
  • 2 × 5 + 2 × 3
  • 3 × 4 + 3 × 2
  • 4 × 4 + 4 × 4
12
Write how you know 5 × 8 can be cut as 5 × 5 + 5 × 3 and still make 40.
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Answer key · Set C
Two ways to cut
112 The top part is 2 rows of 6 squares. 2 × 6 = 12.
230 Top part 2 × 6 = 12 and bottom part 3 × 6 = 18. 12 + 18 = 30.
35 × 6 = 2 × 6 + 3 × 6 The top part is 2 rows of 6 and the bottom part is 3 rows of 6. Both parts have 6 in a row.
43 The cut leaves 3 columns on the right, because 8 - 5 = 3.
527 3 × 4 = 12 and 3 × 5 = 15. 12 + 15 = 27, the same as 3 × 9.
628 The top part is 2 rows of 8 = 16. The bottom part is 4 rows of 3 = 12. 16 + 12 = 28.
713 31 - 18 = 13 square feet.
85 × 2 and 5 × 5 The parts must use all 7 columns. 2 + 5 = 7. The others use 8 columns.
9False 4 × 5 + 4 × 5 = 40, but 4 × 9 = 36. 5 + 5 is 10 columns, not 9.
109 4 rows with the same number in each row make 36. 4 × 9 = 36.
113, 1, 2, 4 The areas are 16, 18, 25 and 32.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.