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Worksheets

arcs, sectors, trapezia, volume incl rev.

Total questions: 16

Worksheet time: 13mins

Name
Class
Date
1.

The circumference of a circle is 50 cm. What is its diameter to 1 decimal place?

a)

15.9 cm

b)

157.1 cm

c)

0.1 cm

d)

8.0 cm

2.

What is the area of this circle?

a)

314.16 cm2

b)

1256.64 cm2

c)

62.83 cm2

d)

5026.55 cm2

3.

A circle has an area of 40 cm2. What is its radius? Give your answer to 1 d.p.

a)

2.0 cm

b)

6.4 cm

c)

7.1 cm

d)

3.6 cm

4.

Which calculation would give the area of this sector?

a)

85360× π ×12\frac{85}{360}\times\ \pi\ \times12

b)

85360× π ×6\frac{85}{360}\times\ \pi\ \times6

c)

85360× π ×62\frac{85}{360}\times\ \pi\ \times6^2

d)

85360× π ×122\frac{85}{360}\times\ \pi\ \times12^2

5.

This is a sector of a circle, centre C. The radius is 30cm.

Calculate the major arc AB. Take pi to be 3.14

a)

125.6 cm

b)

62.8 cm

c)

251.2 cm

d)

184.3 cm

6.

The diagram show part of a circle, centre O. The radius is 6.4 cm. The major arc AB is 34.6 cm. Calculate the size of the reflex angle AOB.

a)

310 degrees

b)

97 degrees

c)

290 degrees

d)

50 degrees

7.

The area of this parallelogram is 96 cm2. What is the value of m?

a)

84

b)

16

c)

8

d)

Not enough information

8.

What is the area of this shape?

a)

84 cm2

b)

168 cm2

c)

336 cm2

d)

3780 cm2

9.

The area of this trapezium is 45 cm2. What would the perpendicular height, h, be?

a)

4.5 cm

b)

3 cm

c)

9 cm

d)

6 cm

10.
a)

20 cm3

b)

220 cm2

c)

220 cm3

d)

238 cm3

11.

The cube and the cuboid have the same volume. What is the value of x?

a)

2 cm

b)

4 cm

c)

6 cm

d)

8 cm

12.

Calculate the volume of the prism

a)

265 cm3

b)

265.05 cm3

c)

306.4 cm3

d)

37.8 cm3

13.
a)

720 cm3

b)

288 cm3

c)

240 cm3

d)

144 cm3

14.

The volume of the prism is 120 cm3. Find x.

a)

2.5 cm

b)

5 cm

c)

1.25 cm

d)

20 cm

15.

The volume of the prism is 120 cm3. Calculate the area of the trapezium.

a)

4.9 cm2

b)

39.45 cm2

c)

960 cm2

d)

15 cm2

16.

Calculate the volume of the cylinder

a)

508.94 cm3

b)

113.04 cm3

c)

162 cm3

d)

87.48 cm3