Level 3
The figure shows 2 identical circles enclosed in a rectangle ABCD. Find the area of the shaded parts. (Take π = 3.14)
5 m
Level 3
The figure is made up of a big quadrant OWY a small quadrant OVZ and a square VXZO. The radius of the big quadrant OWY is 12cm. The area of the big quadrant is twice the area of the small quadrant OVZ. Using the calculator value of π, find the area of the shaded parts, correct to 2 decimal places.
5 m
Level 3
The figure, not drawn to scale, is made up of a square, a quadrant and a semicircle. WXYZ is a square of side 28 cm. Find the area of the shaded part. (Take π = 227)
5 m
Level 3
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z.
  1. Find the radius of the medium-sized circle.
  2. Find the area of region Z. Use a calculator to obtain the value of π. (Round off to nearest 2 decimal places).
  3. Express the area of the region Y as a ratio to the area of region X.
5 m
Level 3
The figure is made up of a circle, a rectangle and 2 semicircles. AC, the diameter of the circle, is 15 cm, AB is 12 cm and BC is 9 cm.
  1. What is the total area of the shaded parts?
  2. What is the total perimeter of the shaded parts? (Take π = 3.14)
5 m
Level 3 PSLE
The figure shows a table cloth. The outside edge of the mat is formed by 4 semicircles and 2 quarter circles, each of radius 14 cm.
  1. Find the perimeter of the mat.
  2. Find the area of the mat. Take π = 227.
5 m
Level 3 PSLE
The figure is made up of a rectangle, semicircles and quarter circles. The area of the rectangle is 216 cm2.
  1. Find the perimeter of the rectangle.
  2. Find the area of the figure. Take π = 3.14
5 m
Level 3 PSLE
A small circle with centre O has been cut from a circular piece of cardboard with the same centre. The radius of the small circle is 8 cm.
The remaining cardboard is then cut into four equal parts along the dotted lines as shown in Figure 1. The four parts are rearranged to form a new shape in Figure 2.
  1. Find the area of the new shape.
  2. Find the perimeter of the new shape. (Take π = 3.14)
5 m