 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 m
2. Find the area of the mat. Take π = 227. 3 m 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
Level 3
The figure is made up of a right-angled triangle ABC and two semicircles with AB and BC as their diameters respectively. The two semicircles and the line AC meet at D as shown. AB = 12 cm. BC = 16 cm and AC = 20 cm. (Take π = 3.14)
1. Find the perimeter of the shaded region. Correct the answer to 2 decimal places.
2. Find the area of the shaded region. 5 m
Level 3
In the figure, not drawn to scale, WXYZ is a rectangle with a length of 45 cm and a width of 22 cm. The area of the quadrilateral ABCD is 75 cm2. Find the ratio of the shaded area to the unshaded area. 5 m
Level 3
The rectangle is divided into four parts A, B, C and D. The ratio of Part A to Part B is 5 : 3 and the ratio of Part B to Part C is 2 : 1.
1. Find the ratio of Part A to Part B to Part C.
2. Given that Part D is 26 cm2 , find the area of the rectangle. 5 m