Everything Maths Grade 10

90 ◦ 180 ◦ 270 ◦ 360 ◦

 4

 3

 2

 1

1

2

3

4

g

x

y

i.Determine the value ofa.

(1 mark)

ii.If the graph ofgis translated 2 units upwards to obtain a new graphh, write down the range ofh.

(2 marks)

[TOTAL: 8 marks]

7. a)The roof of a canvas tent is in the shape of a right pyramid having a perpendicular height of 0,8 metres on a square base. The length of one
   side of the base is 3 metres.

0 ; 8 K

G B

A

C

F

E

H

j K D

i.Calculate the length ofAH.
(2 marks)
ii.Calculate the surface area of the roof.
(2 marks)
iii. If the height of the walls of the tent is 2,1 metres, calculate the total amount of canvas required to make the tent if the floor is excluded.
(2 marks)
b)A metal ball has a radius 8 millimetres.
i.Calculate the volume of metal used to make this ball, correct to TWO decimal places.
(2 marks)
ii.If the radius of the ball is doubled, write down the ratio of the new volume : the original volume.
(2 marks)
iii. You would like this ball to be silver plated to a thickness of 1 millimetre. What is the volume of silver required? Give your answer
correct to TWO decimal places.
(2 marks)
[TOTAL: 12 marks]
8.P QRSis a kite such that the diagonals intersect inO.
OS=2 cm andOP S^ = 20°.

20 ◦

k +K

P R

S

Q

O

a)Write down the length ofOQ.

(2 marks)

b)Write down the size ofPOQ^.

(2 marks)

c)Write down the size ofQP S^.

(2 marks)

[TOTAL: 6 marks]

9.In the diagram,BCDEandAODEare parallelograms.

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