141 P5.AN.JM.17083262
Level 3
In the figure, O is the centre of the circle, AO is parallel to BC and ∠BOC = 100°. Find the values of
  1. ∠p
  2. ∠q
  3. ∠r
4 m
Angles at a point Alternate angles Angle properties within a circle
142 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
143 P5.AN.JM.17083261
Level 3
In the figure, O is the centre of a semicircle and OABC is a rhombus. Given that ∠OCD = 28°, find
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Rhombus Angles sum of triangle Corresponding angles Interior angles Angle properties of a circle
144 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
145 P5.AN.JM.17083256
Level 3
In the figure, ABCD is a parallelogram. O is the centre of the circle. Find
  1. ∠ADC
  2. ∠ABD
4 m
Parallelogram Angles sum of triangle Exterior angle of a triangle Interior angles Angle properties within a circle
146 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
147 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
148 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
149 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
150 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

5 per page

10 per page

20 per page

Symbols

x2
x3
₵
$
⊥
//
∠
°
π
%
:
\[ \]
STUDENT
Navigations
Contact Us
Members
Links