181 P6.AP.TL.17090828
Level 3
The figure shows a circle with centre O and diameter, 14 cm. ABCD and OAEB are squares. Find the total area of the shaded portions of the figure. (Take π = 227)
4 m
Square Triangle Circle area Composite figure area
182 P6.AP.TL.17090829
Level 3
The figure is made up of semicircles, a square, ABDF, and a rectangle, BCEF. The length of the square, ABDF, is 20 cm. Find the area of the shaded figure. Leave the answer in terms of π .
4 m
Square Rectangle Circle area Semicircle Composite figure area
183 P6.AP.TL.17090830
Level 3
The figure is made up of a quadrant, a square and a semicircle. The area of the square is 144 cm2. Find the area of the shaded parts. (Take π = 3.14)
4 m
Square Square & square root Circle area Semicircle Quarter circle Composite figure area
184 P6.AP.TL.17090831
Level 3
Find (a) the area and (b) the perimeter of the figure. (Take π = 227)
4 m
Circle area Composite figure perimeter Composite figure area
185 P6.AP.TL.17090832
Level 3
Find the:
  1. area and
  2. perimeter of the shaded part. The diameter of the small circle is 6 cm. (Take π = 3.14)
4 m
Circumference Circle area Composite figure perimeter Composite figure area
186 P6.AP.TL.17090833
Level 3
The figure is made up of identical quadrants. The radius is 10 cm long. Take π as 3.14.
  1. Find the area of the shaded part.
  2. Find the perimeter of the shaded part.
4 m
Circle area Quarter circle Composite figure perimeter Composite figure area
187 P5.AP.JM.17083195
Level 3
Mr Tan owned a rectangular piece of land, ABCD, as shown in the figure. A path of width 3 m was tiled around the pool and the garden. The area of the square pool was 196 m2 and the area of rectangular garden was 308m2. Find the area of the piece of land.
4 m
Square Rectangle Rectilinear figure Composite figure area
188 P5.AP.JM.17083115
Level 3
The figure is made up of a rectangle and a square. Find the area of the figure.
4 m
Square Rectangle Rectilinear figure Composite figure area
189 P6.AP.TL.17090834
Level 3 PSLE
OPQRS is part of a circle of radius 10 cm. OPR and OQS are quarter circles. The area of the shaded part OQR is 40 cm2 and the perimeter of the shaded part OQR is 30 cm. For each of the following, use the calculator value of π to find:
  1. the area of the figure OPQRS, correct to 2 decimal places,
  2. the perimeter of the figure OPQRS, correct to 1 decimal places.
4 m
Quarter circle Composite figure perimeter Composite figure area D Place values D Round off
190 P6.AP.TL.17090835
Level 3
The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 60 cm.
  1. Find the perimeter of the shaded figure. (Take π = 3.14)
  2. Find the shaded area of this figure. (Take π = 3.14)
4 m
Triangle Semicircle Quarter circle Composite figure perimeter Composite figure area
191 P5.AP.JM.17083193
Level 3
The figure consists of 2 squares of side 12 cm and 6 cm respectively. What is the area of the shaded triangle?
4 m
Square Triangle Composite figure area
192 P6.AP.TL.17090836
Level 3
In the figure, WXYZ and XYML are squares. P and N are centres of square WXYZ and PQRS respectively. O is the centre of XY. If WL = 56 cm, take π = 227 and find
  1. the perimeter of the shaded region,
  2. the area of the shaded region.
4 m
Square Circumference Circle area Semicircle Composite figure perimeter Composite figure area
193 P5.AP.JM.17083213
Level 3
ABFG and CDEF are squares. The area of CDEF is 121 cm2. Find the total shaded area in the figure.
4 m
Square Triangle Composite figure area
194 P6.AP.TL.17090837
Level 3
The figure is not drawn to scale. It is formed by quadrants and semicircles of two sizes. The radius of the larger quadrant is 3 cm longer than the radius of the smaller quadrant. The radius of the smaller quadrant (Line B) is 12 cm.
  1. Find the area of the shaded part.
  2. Find the perimeter of the dotted line. (Take π = 3.14)
4 m
Circle area Semicircle Quarter circle Composite figure perimeter Composite figure area More than or less than
195 P5.AP.NK.23022712
Level 3
The rectangle is made up of some triangles. The three shaded triangles are identical. The perimeter of the rectangle is 84 cm. Its breath is 15 cm. Find the total area of the shaded triangles.
4 m
Rectangle Triangle Composite figure area
196 P6.AP.TL.17090793
Level 3
The figure shows a rectangular park which consists of 1 pavilion in a semi-circle shape and a pond. 4 quarter circles make up the shape of the pond. The length and breadth of the rectangle are 80 m and 44 m respectively.
  1. Find the perimeter of the pond.
  2. Find the area of the shaded part. (Take π = 3.14).
4 m
Rectangle Circumference Semicircle Quarter circle Composite figure perimeter Composite figure area
197 P5.AP.NK.23022719
Level 3
The shape, not drawn to scale, is made up of a square and some triangles. Find the shaded area.
4 m
Square Triangle Composite figure area
198 P5.AP.JM.17083220
Level 3
The figure is not drawn to scale. ABCD is a rectangle. M is the midpoint of AB and N is the midpoint of DC. Given that AE = FD = BG = HC and EF = GH = 4 cm, Find the area of the shaded part.
4 m
Rectangle Triangle Composite figure area
199 P6.AP.NK.21060421
Level 3 PSLE
The figure is formed by two identical circles at W and Y. WYXZ is a square and the length of XY is 14 cm. (Take π = 3.14)
  1. Find the perimeter of the unshaded part.
  2. Find the total area of the shaded parts.
4 m
Square Circle area Circumference Composite figure perimeter Composite figure area
200 P5.AP.JM.17083190
Level 3
The figure shows a rectangle of area 108 cm2. Given that DE = EF = FC, find the total area of the shaded parts in the figure.
4 m
Rectangle Triangle Composite figure area

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