101 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
102 P6.AP.NK.21060421
Level 3 PSLE
The figure is formed by two identical circles at W and Y. WYXZ is a square and the length of XY is 14 cm. (Take π = 3.14)
  1. Find the perimeter of the unshaded part.
  2. Find the total area of the shaded parts.
4 m
Square Circle area Circumference Composite figure perimeter Composite figure area
103 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
104 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
105 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
106 P6.AP.NK.21060422
Level 3 PSLE
The figure shows a path of width 3 m in a rectangular park of length 42 m. The outline of the path is made up of quarter circles with centre A, semicircles with centre D and straight lines. AB = CD.
  1. What is the width of the rectangular park?
  2. Find the area of the path. Take π = 3.14.
4 m
Length Rectangle Semicircle Quarter circle Composite figure area Boomerang
107 P6.AP.JC.23031301
Level 3 PSLE
Tom designed a logo as shown. The logo is made up of 2 small identical quarter circles, a large quarter circle and 2 straight lines drawn inside a square of side 42 cm. The radius of each small quarter circle is 14 cm.
  1. What is the perimeter of the shaded part?
  2. What is the area of the shaded part?
4 m
Square Quarter circle Composite figure perimeter Composite figure area Boomerang
108 P6.AN.NK.17050213
Level 3
In the figure, O Is the centre of the circle and AE is parallel to BC. DF = DE, ∠OAB = 56° and ∠FED = 48°. Find
  1. ∠CBG.
  2. ∠BCD.
5 m
Isosceles triangle Circle Vertically opposite angles Angles sum of a triangle Exterior angle of a triangle Alternate angles Interior angles
109 P6.AN.NK.17050209
Level 3
The figure, not drawn to scale, O is the centre of the circle and BG//CF//DE. Find
  1. ∠AOD
  2. ∠AFO
5 m
Isosceles triangle Circle Angles sum of a triangle Angles at a point Exterior angle of a triangle Interior angles
110 P6.AP.NK.21060419
Level 3
The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
  1. What is the radius of each quarter circle?
  2. What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
5 m
Length Rectangle Composite figure perimeter Quarter circle Ratio to units D Round off

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