41 P6.AP.TL.17090798
Level 3
The figure is made up of curved lines (arcs) of quadrants with radius of different lengths in a square of edge 6 cm. Find the total shaded area. (Take π = 3.14)
3 m
Square Semicircle Quarter circle Composite figure area Leaf
42 P6.AP.TL.17090807
Level 3
The figure is not drawn to scale. It is made up of 2 semicircles, X and Y, overlapping each other. The radius of semicircle X is 7 cm while the radius of semicircle Y is 14 cm. 37 of semicircle X is shaded. What fraction of the whole figure is not shaded? Express the answer in the simplest form. (Take π = 227)
3 m
Semicircle Overlapping area Fraction of a whole F Simplest form
43 P6.AP.TL.17090811
Level 3
In the figure, not drawn to scale, XYZ is a right-angled triangle. XY is 12 cm, YZ is 16 cm. Find the area of the shaded parts. (Take π = 3.14 )
3 m
Right-angled triangle Circle area Semicircle Composite figure area Overlapping area
44 P6.AP.TL.17090810
Level 3
The figure consists of a rectangle, one circle and two semi-circles. The area of each overlapping shaded portion is 44 cm2. Find the total area of the shaded parts. (Take π = 227)
3 m
Rectangle Circle Circle area Semicircle Composite figure area Overlapping area
45 P6.AP.TL.17090813
Level 3
The figure is made up of a circle, 4 identical semi-circles and a square of side 14 cm. O is the centre of the circle. What is the area of the shaded figure?. (Take π = 227)
3 m
Square Circle Semicircle Quarter circle Composite figure area Cut & paste Overlapping area
46 P6.AP.TL.17090725
Level 3
  1. The figure shows a rectangular field EFGH. Mike walked from E to F to G to H and he covered a distance of 57m. Sandy walked from F to G to H to E and she covered a distance of 48m. What is the perimeter of the field?
  2. Some construction work was undertaken to the same field and a semi-circular part was removed from it. What is the perimeter of the field after the construction? (Take π = 227)
3 m
Rectangle Circumference Semicircle Sets Units & parts
47 P6.AP.TL.17090821
Level 3
The figure is not drawn to scale. A, B and C are radii of 21 cm long. Find the area of the shaded part. (Take π = 227)
4 m
Triangle Semicircle
48 P6.AP.TL.17090822
Level 3
Three similar sections are cut away from an equilateral cardboard triangle ABC. Each side of the equilateral triangle is 56 cm. Find the perimeter of the remaining cardboard. (Take π = 3.14)
4 m
Equilateral triangle Circumference Semicircle
49 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
50 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
51 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
52 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
53 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
54 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
55 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
56 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
57 P5.AN.JM.17083261
Level 3
In the figure, O is the centre of a semicircle and OABC is a rhombus. Given that ∠OCD = 28°, find
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Rhombus Angles sum of triangle Corresponding angles Interior angles Angle properties of a circle
58 P6.AP.NK.21060424
Level 3 PSLE
The figure is made up of 6 identical quadrants and 2 identical semicircles. The radius of each quadrant is 14 cm. The unshaded area marked A is enclosed by 2 quadrants and 2 semicircles. (Take π = 3.14)
  1. Find the perimeter of A.
  2. Find the total shaded areas.
4 m
Semicircle Quarter circle Leaf Composite figure perimeter Composite figure area
59 P6.AP.TL.17090839
Level 3
The diagram shows 3 identical circles embedded in a rectangle. Given that the length of the rectangle is 18 cm, find the total area of the shaded parts. Use calculator π. (Give the answer correct to 2 decimal places)
4 m
Rectangle Triangle Circle Semicircle Quarter circle Composite figure area Cut & paste
60 P6.AP.TL.17090840
Level 3
The figure is made up of a big circle and 4 small identical circles. The diameter of the small circle is 28 cm. Find the shaded area. (Take π = 3.14)
4 m
Triangle Circle area Semicircle Composite figure area Leaf

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