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Maths · Grade 3 · Set A
Splitting the rectangle
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A
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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. Cutting does not change the area.

Cut it and add

1
A placemat is cut in two parts. How many squares are in the left part?
2
How many squares are in the whole placemat?
3
Which sentence matches the cut?
3 × 6 = 3 × 2 + 43 × 6 = 3 × 2 + 3 × 43 × 6 = 3 + 2 + 4
4
5 × 7 = 5 × 5 + 5 ×
5
A card has 4 rows of 8 squares. Cut it so 3 columns stay. How many columns come off?
6
A rug is cut in two parts. How many square feet cover the whole rug?
7
Find each part and add. How many squares cover the whole rectangle?
8
Which picture shows 4 × 6 cut into 4 × 2 and 4 × 4?
A
B
C

Splitting any shape

9
Cutting a rectangle into two parts changes how many squares cover it.
TrueFalse
10
Each square is 1 square unit. Cut the L shape into rectangles. How many squares cover it?
11
Join each rectangle to its area in square units.
  1. 13 rows of 4
  2. 25 rows of 3
  3. 32 rows of 9
  4. 44 rows of 5
  • A12
  • B18
  • C20
  • D15
12
A garden is 3 rows of 8 squares. The left part has 15 squares. How many squares are in the right part?
13
7 × 6 = 7 × 4 + 7 × 3
TrueFalse
14
Write how you can find the area of the L shape by cutting it into two rectangles.
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Answer key · Set A
Splitting the rectangle
14 The left part is 2 rows of 2 squares. 2 × 2 = 4.
210 Left part 2 × 2 = 4 and right part 2 × 3 = 6. 4 + 6 = 10.
33 × 6 = 3 × 2 + 3 × 4 3 rows of 2 squares and 3 rows of 4 squares: 3 × 2 + 3 × 4.
42 The cut leaves 2 columns on the right, so 5 × 7 = 5 × 5 + 5 × 2.
55 8 columns, 3 stay. 8 - 3 = 5 columns come off.
615 Add the parts: 6 + 9 = 15 square feet.
728 4 × 3 = 12 and 4 × 4 = 16. 12 + 16 = 28.
8B 4 × 2 is 4 rows of 2 and 4 × 4 is 4 rows of 4.
9False The parts together are the same squares as the whole, so the area does not change.
1021 Cut it into 6 × 2 = 12 and 3 × 3 = 9. 12 + 9 = 21.
111-A, 2-D, 3-B, 4-C Multiply rows by the number in each row.
129 The whole is 3 × 8 = 24. 24 - 15 = 9.
13False 7 × 4 = 28 and 7 × 3 = 21, so the sum is 49. 7 × 6 is 42. 4 + 3 is 7, not 6.
14Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.