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
171 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
172 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
173 P5.AP.NK.23012635
Level 3
Figure ABCD is made up of 3 identical rectangles and a square. The perimeter of the whole figure ABCD is 80 cm. What is the area of the figure ABCD?
4 m
Rectangle Rectilinear figure Tiling Composite figure area Units method
174 P6.AP.JC.22100306
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Level 3 PSLE
A plot of land which had an area of 876 m2 was divided into three portions of equal width. These portions were fenced using 177 m of fence as shown.
  1. Find the length of AB.
  2. Find the perimeter of the plot of land.
4 m
Attempt
Rectangle Composite figure perimeter Composite figure area
175 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
176 P6.AP.TL.17090823
Level 3
On a rectangular plot, a horse is tied to a pole at a corner of the hut which measures 18 m by 6 m. The hut is at the centre of the rectangular grass patch and there is a 14 m wide border of grass patch around it. Given that the rope is 12 m long,
  1. what is the maximum grass patch area that the horse can feed on?
  2. find the total area of the grass patch that the horse cannot feed on. (Take π = 3.14)
4 m
Rectangle Circumference Composite figure area Min-max
177 P6.AP.TL.17090824
Level 3
A piece of rope is used to make the figure shown. Inside the big semicircle are 2 small circles and 3 small semi-circles, all of which have the same radius. The diameter of the big semicircle is 30 cm. Find the area of the shaded region. (Leave the answer in terms of π)
4 m
Circle area Semicircle Composite figure area
178 P6.AP.TL.17090825
Level 3
The figure is made up of a circle, a triangle and a square of sides 28 cm. E is the mid-point of AD. Find the area of the shaded region. (Take π = 227)
4 m
Square Triangle Circle Composite figure area
179 P6.AP.TL.17090826
Level 3
The figure is made up of a big semicircle of diameter 8 cm and 2 small semicircles with diameter 5.7 cm. Find the shaded area. Round off the answer to nearest 1 decimal place. (Take π = 3.14)
4 m
Triangle Semicircle Composite figure area D Place values D Round off
180 P6.AP.TL.17090827
Level 3
Willi noticed the patterns on the square tiles and tried to calculate the area of the shaded part. Leave the answer in 2 decimal places. (Take π = 3.14)
4 m
Square Rectangle Quarter circle Composite figure area D Place values D Round off

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