41 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
42 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
43 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
44 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
45 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
46 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
47 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
48 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
49 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
50 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

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