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Grade 8 End of Week 13 Test

Total questions: 15

Worksheet time: 10mins

Name
Class
Date
1.

Write your answer to the nearest whole number.

a)

153 m2

b)

124 m2

c)

185 m2

d)

104 m2

2.

Write your answer to the nearest whole number.

a)

1847 cm2

b)

1047 cm2

c)

1800 cm2

d)

1837 cm2

3.

Give your answer to the nearest whole number.

a)

2572 mm3

b)

2275 mm3

c)

530 mm3

d)

2341 mm3

4.

Write your answer to the nearest whole number.

a)

380 cm2

b)

350 cm2

c)

314 cm2

d)

325 cm2

5.

The surface area of a sphere is 484π cm2.

Find the length of the radius of the sphere.

round to the nearest whole number

(a)  

6.

The volume of a solid hemisphere is 144π cm3.

Find the length of the radius of the hemisphere.

(a)  

7.

A hot water container is in the shape of a hemisphere on top of a cylinder as shown. The hemisphere has a radius of 25 cm and the container has a height of 90 cm. Find the volume of the container correct to the nearest whole number.

a)

160,352 cm3

b)

180,000 cm3

c)

145,300 cm3

d)

180,254 cm3

8.

A test tube consists of a cylinder on top of a hemisphere, as shown in the diagram.

Find the capacity (internal volume) of the test tube, in terms of π.

a)

1603π cm3\frac{160}{3}\pi\ cm^3

b)

1606π cm3\frac{160}{6}\pi\ cm^3

c)

803π cm3\frac{80}{3}\pi\ cm^3

d)

806π cm3\frac{80}{6}\pi\ cm^3

9.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
10.

Calculate the total surface area of the solid hemisphere below. Give your answers to two significant figures.

a)

38 cm2

b)

37.69 cm2

c)

32 cm2

d)

31.61 cm2

11.

Calculate the total surface area of the solid hemisphere below. Give your answers to two significant figures.

a)

1100 cm2

b)

1140.39 cm2

c)

1320 cm2

d)

1140 cm2

12.

Calculate the volume of the compound shape shown in the diagram.

Give your answer to the nearest whole number.

a)

377 cm3

b)

120 cm3

c)

120.25 cm3

d)

376.97 cm3

13.

A spherical golf ball has a diameter of 4 cm. Find the volume of the golf ball, in terms of π.

a)

 \frac{32}{3}\pi\ \ cm^3  

b)

 \frac{8}{3}\pi\ \ cm^3  

c)

 \frac{16}{3}\pi\ cm^3  

d)

 329π cm3\frac{32}{9}\pi\ cm^3  

14.

The volume of a solid hemisphere is 144π cm3.

Find the radius of the hemisphere.

a)

6 cm

b)

12 cm

c)

18 cm

d)

3 cm

15.

The volume of a sphere is 343π cm3.

Find the radius of the sphere, correct to two decimal places.

a)

6.36 cm

b)

12.4 cm

c)

3.25 cm

d)

6.03 cm