Question:

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 =^{22}_{7})

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 =

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.

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.

- Find the radius of the medium-sized circle.
- Find the area of region Z. Use a calculator to obtain the value of π. (Round off to nearest 2 decimal places).
- 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.

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.

- What is the total area of the shaded parts?
- 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.

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.

- Find the perimeter of the mat.
**2 m** - Find the area of the mat. Take π =
^{22}_{7}.**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 cm^{2}.

The figure is made up of a rectangle, semicircles and quarter circles. The area of the rectangle is 216 cm

- Find the perimeter of the rectangle.
- 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.

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.

- Find the area of the new shape.
- 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)

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)

- Find the perimeter of the shaded region. Correct the answer to 2 decimal places.
- 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 cm^{2}.
Find the ratio of the shaded area to the unshaded area.

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 cm

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.

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.

- Find the ratio of Part A to Part B to Part C.
- Given that Part D is 26 cm
^{2}, find the area of the rectangle.

5 m