51 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
52 P6.AP.TL.17090853
Level 3
In the figure, ABCD and DEFG are squares. Find the area of the shaded triangle ACF.
4 m
Square Triangle Composite figure area
53 P6.AP.TL.17090820
Level 3
The figure shows 4 similar right-angled triangles arranged to form a big square which encloses a circle. The midpoints of the 4 sides of the big square touch the circumference of the circle. The two sides which form the right angle of each triangle are 16 cm and 12 cm respectively. Find the area of the shaded part. (Take π = 3.14)
4 m
Square Square & square root Right-angled triangle Circumference Circle area Composite figure area
54 P5.AP.NK.23102502
Level 3
The figure shows a rectangular piece of paper 32 cm by 5 cm which is coloured on one side. It is folded along the dotted line to form Figure B.
  1. Find the area of the rectangular piece of paper.
  2. Find the total area of X, Y and Z in Figure B.
4 m
Length Rectangle Triangle Composite figure area Folded figure
55 P6.AP.JC.23100212
Level 3 PSLE
The figure shows 6 circles, each of radius 7 cm. Each circle touches the circles next to it.
(Take π = 227)
  1. Find the perimeter of the shaded part.
  2. Find the area of the shaded part.
4 m
Rectangle Circle Circumference Composite figure perimeter Composite figure area Cut & paste

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