161 P5.AP.JM.17083245
Level 3
The figure is made up of 3 similar overlapping squares of side 6 cm. The squares touched one another at Corners A, B, C, D and E. Jim shaded the parts where the squares overlapped each other.
  1. Find the area of the unshaded part of the figure.
  2. What fraction of the figure is the shaded part?
3 m
Square Composite figure area Overlapping area Fraction of a whole
162 P4.AP.JM.17100264
Level 3
ABCD is a square of side 14 cm. The circle inside has an area of 154 cm2. What is the area of the shaded part?
3 m
Square Circle Boomerang Composite figure area
163 P3.AP.JM.17102370
Level 3
A piece of paper had a length of 15 cm and breadth of 10 cm. Four identical squares with sides 2 cm were cut out from the corners as shown.
  1. What was the area of the paper before it was cut?
  2. What was the area of the paper after the four corners were cut?
4 m
Square Rectangle Composite figure area
164 P3.AP.JM.17102352
Level 3
Thomas formed Figure A by using 6 identical rectangles.
  1. Find the area of Figure A.
  2. Thomas then added 3 identical squares to form Figure B as shown. Find the area of Figure B.
4 m
Square Rectangle Rectilinear figure Composite figure area
165 P4.AP.JM.17100224
Level 3
The figure is made up of three identical squares of side 8 cm.
  1. Find the area of the figure.
  2. Find the perimeter of the figure.
3 m
Square Tiling Rectilinear figure Composite figure perimeter Composite figure area
166 P3.AP.JM.17102326
Level 3
The figure is made up of five similar rectangles, measuring 8 cm by 4 cm.
  1. Find the area of the figure.
  2. Find the perimeter of the figure.
4 m
Rectangle Rectilinear figure Composite figure perimeter Composite figure area
167 P3.AP.JM.17102327
Level 3
Five identical square tiles were pasted onto a rectangular wall shown .
  1. What is the area of the rectangular wall?
  2. What is the perimeter of the shaded part?
4 m
Square Rectangle Rectilinear figure Composite figure perimeter Composite figure area
168 P6.AP.TL.17090815
Level 3
The figure, not drawn to scale, is made up of two identical right-angled triangles, a small square and a big square. The lengths of the 2 squares are whole numbers. The perimeter of the shaded region is 32 cm, and the total area of the two unshaded squares is 89 cm2. Find the total area of the two shaded right-angled triangles.
3 m
Square Right-angled triangle Composite figure perimeter Composite figure area Guess & check
169 P4.AP.JM.17100249
Level 3
A rectangular piece of coloured paper was folded as shown. Find the area of the coloured paper when it was unfolded.
3 m
Rectangle Composite figure area Folded figure
170 P4.AP.JM.17100250
Level 3
Figure 1 shows a rectangular piece of paper measuring 24 cm by 9 cm. It is folded along the dotted lines to form Figure 2. Find the area of Figure 2.
3 m
Rectangle Composite figure area Folded figure

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