Tutorpip← About this lessonABCHide the answer keyDownload PDF
Maths · Grade 6 · Set B
Cut It, Measure It, Add It
Scan to mark
on screen
B
Name
Date
Start Finish
Goal: 15 min
Score/ 12
Remember: Cut a shape into rectangles and triangles. Add the areas of the pieces.

Pieces you know

1
The shape is cut into two rectangles by the line. What is the area of the top piece in square units?
2
Which addition gives the area of the whole shape in square units?
7 + 314 + 614 × 6
3
What is the area of the whole shape in square units?
4
A triangle with a base of 4 and a height of 6 has an area of 24 square units.
TrueFalse
5
This triangle has a base of 6 and a height of 3. What is its area in square units?
6
The cut makes which two pieces?
a rectangle and a triangletwo rectanglestwo triangles
7
The arrow is a square 4 by 4 and a triangle with a base of 4 and a height of 3. What is the area of the arrow in square units?
8
Join each shape to its area in square units.
  1. 1rectangle 6 by 4
  2. 2triangle, base 8, height 3
  3. 3rectangle 3 by 7
  4. 4triangle, base 5, height 6
  • A21
  • B12
  • C15
  • D24
9
Which cut makes one rectangle and one triangle?
Cut 1
Cut 2
Cut 3
10
The T-shape is cut along the line into a wide rectangle and a tall one. What is the area of the whole T in square units?
11
A 4 by 3 rectangle and a 2 by 5 rectangle are joined to make one shape. The shape has an area of 22 square units.
TrueFalse
12
Number the steps to find the area of the arrow.
  • Find the area of the triangle: half of base times height
  • Add the two areas
  • Cut it into a rectangle and a triangle
  • Find the area of the rectangle: wide times tall
13
Cut the T-shape another way. Draw your cut. Write the area of each piece and the area of the whole T.
Scan the code at the top to mark this sheet on screenTake a photo of your answers or type them. It is marked for you automatically, and your score is kept.
Answer key · Set B
Cut It, Measure It, Add It
16 The top piece is 3 wide and 2 tall: 3 × 2 = 6.
214 + 6 The bottom piece is 7 × 2 = 14 and the top piece is 3 × 2 = 6. You add the areas of the pieces: 14 + 6.
320 14 + 6 = 20.
4False 24 is the area of the rectangle 4 × 6. A triangle is half of it: 12.
59 Half of 6 × 3 = 18 is 9.
6a rectangle and a triangle The left piece has four square corners, so it is a rectangle. The pointed piece on the right is a triangle.
722 The square is 4 × 4 = 16. The triangle is half of 4 × 3 = 12, which is 6. 16 + 6 = 22.
81-D, 2-B, 3-A, 4-C A rectangle is wide times tall. A triangle is half of that.
9Cut 3 Only the up and down cut leaves a piece with four square corners next to a triangle. The flat cut makes two four-sided slanted pieces, and the slanted cut makes two triangles.
1018 The wide piece is 6 × 2 = 12 and the tall piece is 2 × 3 = 6. 12 + 6 = 18.
11True 4 × 3 = 12 and 2 × 5 = 10. 12 + 10 = 22.
123, 4, 1, 2 Cut first, measure each piece, then add.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.