21 P6.AP.TL.17090740
Level 2
The figure is formed by 2 semicircles, 2 identical quarter circles and a square ABCD. The perimeter of square ABCD is 60 cm. What is the total area of the shaded parts? Express the answer in the nearest whole number. (Take π = 3.14)
2 m
Square Semicircle Quarter circle Composite figure area Cut & paste W Round off
22 P6.AP.TL.17090749
Level 2
Find (a) the area and (b) the perimeter of the figure. (Take π = 227)
2 m
Circle area Semicircle Quarter circle Composite figure perimeter Composite figure area
23 P6.AP.TL.17090711
Level 1
The figure is made up of a rectangle and a semi-circle. The diameter of the circle is 80 cm. Find the area of the shaded part. (Take π = 3.14)
2 m
Rectangle Circle area Semicircle Quarter circle Cut & paste
24 P6.AP.TL.17090769
Level 3 PSLE
LOPQ is a rectangular cardboard with LQ = 7 cm. Two quarter circles have been cut from it as shown. The remaining cardboard, which is the shaded part, has an area of 56 cm2. Using π = 227, find the length of MN.
3 m
Length Rectangle Quarter circle Composite figure perimeter
25 P6.AP.TL.17090795
Level 3
The figure shown is formed by cutting out three identical quadrants from three identical squares. Find the area of the figure. (Take π = 227)
3 m
Square Quarter circle Composite figure area
26 P6.AP.TL.17090796
Level 3
The figure shows 2 quarter circles and a rectangle. The radius of the big quarter circle is 10 cm. The radius of the small quarter circle is 5 cm. Find the difference in area between the two shaded parts P and Q. (Take π = 3.14 and give the answer correct to 1 decimal place) Answer: 5.7 cm2
3 m
Rectangle Quarter circle Composite figure area
27 P6.AP.TL.17090792
Level 3
The figure shows a rectangle with 2 identical semicircles and quadrants within It. The length of the rectangle is 10 cm. Find the area of the shaded part. (Take π = 3.14)
3 m
Rectangle Semicircle Quarter circle Composite figure area
28 P6.AP.TL.17090794
Level 3
The figure consists of a rectangle, a quadrant and an isosceles triangle. Given that the radius of the quadrant is 10 cm and B is the midpoint of Line AC, find the difference between the shaded areas Y and Z. Express the answer in nearest whole number. (Take π = 3.14)
3 m
Rectangle Isosceles triangle Quarter circle Composite figure area W Round off
29 P6.AP.TL.17090809
Level 3
In the figure, WXYZ is a square of side 20 cm with a semi-circle and 2 quadrants drawn in it. Find the difference in areas of the shaded regions A and B. (Take π = 3.14)
3 m
Square Semicircle Quarter circle Composite figure area
30 P6.AP.TL.17090799
Level 3
The figure shows two identical semi-circles. XY is a straight line. X and Y are the centres of the semi-circles. Given that the radius of the semi-circle is 10 cm, find the area of the shaded regions. Express the answer correct to 1 decimal place. (Take π = 3.14)
3 m
Semicircle Quarter circle Composite figure perimeter Composite figure area D Place values D Round off
31 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
32 P6.AP.TL.17090808
Level 3
WXYZ is a square of side 14 cm. The shaded area is 64 cm2. Calculate the total areas of A, B, C and D. (Take π = 227).
3 m
Square Quarter circle Composite figure area Overlapping area
33 P6.AP.TL.17090812
Level 3
The figure is made of 2 quadrants and a rectangle. The rectangle measures 12 cm by 4 cm. Using the calculator value of π, find the area of the shaded part. Correct the answer to 2 decimal places.
3 m
Rectangle Circle area Quarter circle Composite figure area Overlapping area D Place values D Round off
34 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
35 P6.AP.NK.21060416
Level 2 PSLE
The outline of the shaded figure is formed by 3 identical small quarter circles, 2 identical large quarter circles and 3 straight lines. Take π = 3.14
  1. What is the radius of the large quarter circle?
  2. Find the perimeter of the shaded figure.
4 m
Length Quarter circle Composite figure perimeter
36 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
37 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
38 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
39 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
40 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

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