21 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
22 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
23 P6.AP.TL.17090818
Level 3
The figure is not drawn to scale. Two balls, X and Y, turn and move along the line AB in opposite directions. The radius of X is 10 cm. The ratio of the diameter of Ball X to that of Ball Y is 5 : 2. If Ball X turns 10 rounds and Ball Y turns 2 rounds, how far apart are the centres of the balls? (Take π = 3.14)
4 m
Circle Circumference Ratio to units Distance apart
24 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
25 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
26 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
27 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
28 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
29 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
30 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

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