61 P6.AP.TL.17090788
Level 3
The figure is not drawn to scale. It has 4 big semicircles with diameter 100 cm each and 5 small semicircles with diameter 48 cm. What is the area of the shaded figure? Take π = 3.14
3 m
Circle area Semicircle Composite figure area
62 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
63 P6.AN.NK.17050207
Level 3
In the figure, O is the centre of the circle. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Exterior angle of a triangle Interior angles Angle properties within a circle
64 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
65 P6.AN.NK.17050203
Level 3
In the figure, not drawn to scale, WY, XZ and OX are straight lines. Given that O is the centre of the circle and ∠OWZ = 31°, find ∠OYZ.
3 m
Isosceles triangle Angles on a straight line Angles sum of a triangle Angle properties within a circle
66 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
67 P6.AN.NK.17050204
Level 3
In the figure, not drawn to scale, O is the centre of the circle. HOC, FDC and ODE are straight lines. Find ∠EDF.
3 m
Isosceles triangle Vertically opposite angles Angles at a point Corresponding angles Angle properties within a circle
68 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
69 P6.AN.NK.17050205
Level 3
In the figure, ABCD is a parallelogram and C is the centre of the circle. Find ∠BCE.
3 m
Isosceles triangle Parallelogram Angles sum of triangle Interior angles Angle properties within a circle
70 P6.AP.TL.17090790
Level 3
The figure shows 4 identical circles in a square, WXYZ. The area of the square is 900 cm2. Find the area of the shaded part (Take π = 3.14)
3 m
Square Square & square root Circle Circle area Composite figure area
71 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
72 P6.AP.TL.17090801
Level 3
Find (a) the perimeter and (b) the area of the figure. (Take π = 227)
3 m
Square Circle Composite figure perimeter Composite figure area
73 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
74 P6.AP.TL.17090806
Level 3
  1. Find the perimeter of the shaded region. (Take π = 3.14)
  2. Find the unshaded area of this figure. (Take π = 3.14)
3 m
Square Circle area Composite figure perimeter Composite figure area Leaf
75 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
76 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
77 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
78 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
79 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
80 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

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