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Tutor:

Topic: Circles [2] (Lesson 19)

Name: __________________________________________________

Tutor: _

Topic:

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Primary 6: Rev Up! Math

Exercise 1: Solve the following word problems. You may use a calculator for

this exercise.

1. A running track is made up of two semicircles and two sides of a rectangle as

22

shown. Find the length of the track. (Take = 7) 100 m

42 m

Ans:

2. The distance covered by a bicycle wheel when it completes a full turn is XY. If

the diameter of the wheel is 0.5 m, find the distance covered in 400 complete

turns of the wheel in metres. (Leave your answer in terms of .)

XY

Ans: 1

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Primary 6: Rev Up! Math

3. The figure shown is made up of a rectangle and two semi-circles.

(a) Find the area of the shaded figure.

(b) Find the perimeter of the shaded figure. (Take as 3.14)

16 cm

5 cm

5 cm

Ans: (a)

(b)

4. XOY is the diameter of the circle while OZ is the radius of the circle. If XY = 40

cm, find the area of the shaded part. (Take = 3.14)

Z

XO Y

40 cm

Ans: 2

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Primary 6: Rev Up! Math

5. The figure is made up of a semicircle, a square and a triangle.

(a) Find the area of the figure.

(b) Find the perimeter of the figure. (Take = 3.14)

12 cm 13 cm

17 cm

Ans: (a) 3

(b)

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Primary 6: Rev Up! Math

6. The figure is made up of two quadrants of a circle of radius 10 cm that overlap.

The length of the square inside the figure is 8 cm. 8 cm

(a) Find the area of the figure.

(b) Find the perimeter of the figure. (Take = 3.14)

10 cm

Ans: (a)

(b)

*7. The figure is made up of two quadrants and a rectangle.

(a) Find the area of the shaded part. 22

7)

(b) Find the perimeter of the shaded part.(Take =

7 cm

14 cm

Ans: (a) 4

(b)

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Primary 6: Rev Up! Math

*8. The figure shows a circle and 2 identical quadrants. The diameter of the circle

is 14 cm.

(a) Find the area of the shaded part. (Take = 22

Find the perimeter of the shaded part.

(b) 7)

7 cm

14 cm

Ans: (a)

(b)

*9. The figure is made up of three different semicircles. The ratio of AB to BC

is 2 : 1. Given that AC = 63 cm, find the perimeter of the shaded region.

(Take = 22 )

7

A BC

63 cm

Ans: 5

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Primary 6: Rev Up! Math

*10. The radius of the large circle is 4 times the radius of the small circle. If the

diameter of the large circle is 36 cm, find the difference between the

circumference of the small circle and large circle. (Take = 3.14)

• •

O

36 cm

Ans: 6

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Primary 6: Rev Up! Math

Extension

Solve the following word problems. You may use a calculator for this

exercise.

*1. How many circles of radius 3 cm can be cut from a rectangular sheet

measuring 65 cm by 42 cm?

Ans:

*2. The figure below shows a quadrant overlapping a semicircle. Find the

difference between area A and area B. (Take = 3.14)

B

AC

12 cm

12 cm

Ans: 7

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.