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Maths · Grade 3 · Set B
Cut it and count
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B
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Goal: 15 min
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Remember: Cut a shape into rectangles. Find the area of each part. Add the parts. The area stays the same however you cut.

Two parts, one whole

1
A garden bed is cut in two parts. How many squares are in the light part?
2
How many squares cover the whole garden bed?
3
Which sentence matches the cut?
4 × 7 = 4 × 5 + 4 × 24 × 7 = 4 × 5 + 24 × 7 = 4 + 5 + 2
4
4 × 9 = 4 × 6 + 4 ×
5
A mat has 3 rows of 9 squares. The cut leaves 4 columns on the left. How many columns are on the right?
6
Which picture shows 5 × 6 cut into 5 × 4 and 5 × 2?
A
B
C
7
A hall rug is made of two parts. How many square feet cover the whole rug?

Splitting any shape

8
The left part is 12 squares and the right part is 8 squares. So the whole is 20 squares.
TrueFalse
9
Each square is 1 square unit. The L shape is cut in two rectangles. How many squares cover the whole L?
10
A tray is 4 rows of 6 squares. The dark part has 8 squares. How many squares are in the light part?
11
Join each cut to its total.
  1. 13 × 2 + 3 × 5
  2. 24 × 4 + 4 × 3
  3. 32 × 6 + 2 × 4
  4. 45 × 5 + 5 × 3
  • A28
  • B40
  • C20
  • D21
12
8 × 7 = 8 × 4 + 8 × 2
TrueFalse
13
Draw a line to cut the L into two rectangles. Write both areas and add them.
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Answer key · Set B
Cut it and count
16 The light part is 2 rows of 3 squares. 2 × 3 = 6.
210 Light part 2 × 3 = 6 and dark part 2 × 2 = 4. 6 + 4 = 10.
34 × 7 = 4 × 5 + 4 × 2 4 rows of 5 squares and 4 rows of 2 squares: 4 × 5 + 4 × 2.
43 The cut leaves 3 columns on the right, because 9 - 6 = 3.
55 9 columns in all, 4 on the left. 9 - 4 = 5 columns on the right.
6C 5 × 4 is 5 rows of 4 and 5 × 2 is 5 rows of 2. A is 3 and 3, and B is 1 and 5.
725 Add the parts: 11 + 14 = 25 square feet.
8True Left 4 × 3 = 12 and right 4 × 2 = 8. 12 + 8 = 20.
920 The top part is 3 rows of 2 = 6. The bottom part is 2 rows of 7 = 14. 6 + 14 = 20.
1016 The whole tray is 4 × 6 = 24. 24 - 8 = 16.
111-D, 2-A, 3-C, 4-B Find each part, then add: 6 + 15, 16 + 12, 12 + 8 and 25 + 15.
12False 8 × 4 = 32 and 8 × 2 = 16, so the sum is 48. 8 × 7 is 56. 4 + 2 is 6, not 7.
Mark each answer, count the right ones and write the score on the sheet.