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Maths · Grade 6 · Set A
Cut It Into Pieces You Know
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A
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Goal: 15 min
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Remember: Cut a shape into rectangles and triangles. Add the areas of the pieces.

Find the area

1
The L-shape is cut into two rectangles by the line inside it. What is the area of the bottom piece in square units?
2
What is the area of the top piece in square units?
3
What is the area of the whole L-shape in square units?
4
A triangle with a base of 6 and a height of 4 has an area of 24 square units.
TrueFalse
5
This triangle has a base of 5 and a height of 4. What is its area in square units?
6
The cut makes which two pieces?
two trianglesa rectangle and a triangletwo rectangles
7
Join each shape to its area in square units.
  1. 1rectangle 5 by 3
  2. 2triangle, base 6, height 4
  3. 3rectangle 4 by 4
  4. 4triangle, base 5, height 4
  • A10
  • B12
  • C15
  • D16
8
Number the steps to find the area of a shape that is not a rectangle.
  • Find the area of each piece
  • Add the areas of the pieces
  • Write the answer in square units
  • Cut the shape into rectangles and triangles
9
Which cut makes only rectangles?
Cut 1
Cut 2
Cut 3
10
The area of a shape is always the area of the box around it.
TrueFalse
11
This shape is a rectangle and a rectangle put together. What is its area in square units?
12
The house is a rectangle with a triangle on top. What is its area in square units?
13
Draw a different way to cut the L-shape into two rectangles. Write the area of each piece and the total.
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Answer key · Set A
Cut It Into Pieces You Know
112 The bottom piece is 6 wide and 2 tall: 6 × 2 = 12.
29 The top piece is 3 wide and 3 tall: 3 × 3 = 9.
321 Add the pieces: 12 + 9 = 21.
4False A triangle is half of a rectangle. Half of 6 × 4 = 24 is 12.
510 Half of 5 × 4 = 20 is 10.
6a rectangle and a triangle Below the cut is a rectangle. Above it is a triangle with its point at the top.
71-C, 2-B, 3-D, 4-A A rectangle is wide times tall. A triangle is half of that.
82, 3, 4, 1 Cut first, then measure each piece, then add.
9Cut 2 Only the straight cut at 3 across makes two pieces with square corners. The slanted cuts make pieces with slanted sides.
10False The box around the L-shape is 6 by 5 = 30, but the shape is only 21. The empty corner is not part of it.
1128 Cut it: the bottom is 8 × 2 = 16, and the top is 4 × 3 = 12. 16 + 12 = 28.
1227 The rectangle is 6 × 3 = 18. The triangle has base 6 and height 3, so half of 18 is 9. 18 + 9 = 27.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.