1.
Diagram NOT
accurately drawn
15 cm
The diagram shows a semi-circle.
The diameter of the semi-circle is 15 cm.
Calculate the area of the semi-circle.
Give your answer correct to 3 significant figures.
............................
(Total 3 marks)
2.
A 10 pence coin is made from copper and nickel.
The ratio of the weight of copper to the weight of nickel is 18:6
(a) Write the ratio 18:6 in its simplest form
…………………….
(1)
The diameter of the 10 pence coin is 2.45 cm.
(b) Work out the circumference of the coin.
Give your answer correct to 1 decimal place.
…………………cm
(2)
(Total 3 marks)
3.
Diagram NOT
accurately drawn
20 cm
A semicircle has a diameter of 20 cm.
Work out the perimeter of the semicircle.
Take the value of  to be 3.14
.............................. cm
(Total 3 marks)
queen elizabeth's mercian school
1
4.
The diagram shows two circles.
Diagram NOT
accurately drawn
O
R cm
r cm
O is the centre of both circles.
The radius of the outer circle is R cm.
The radius of the inner circle is r cm.
R = 15.8 correct to 1 decimal place.
r = 14.2 correct to 1 decimal place.
(a)
John says that the minimum possible diameter of the inner circle is 28.35 cm. Explain
why John is wrong.
.....................................................................................................................................
.....................................................................................................................................
.....................................................................................................................................
(2)
The upper bound for the area, in cm2, of the shaded region is k.
(b) Find the exact value of k.
k = .....................................
(4)
(Total 6 marks)
5.
The diameter of a wheel on Harry’s bicycle is 0.65 m.
Calculate the circumference of the wheel.
Give your answer correct to 2 decimal places.
Diagram NOT
accurately drawn
................................. m
(Total 2 marks)
queen elizabeth's mercian school
2
6.
8 cm
Diagram NOT accurately drawn
The radius of this circle is 8 cm.
Work out the circumference of the circle.
Give your answer correct to 2 decimal places.
.............................. cm
(Total 2 marks)
7.
4 cm
Diagram NOT
accurately drawn
10 cm
The diagram shows a cylinder with a height of 10 cm and a radius of 4 cm.
(a) Calculate the volume of the cylinder.
Give your answer correct to 3 significant figures.
...........................cm3
(2)
The length of a pencil is 13 cm.
The pencil cannot be broken.
(b) Show that this pencil cannot fit inside the cylinder.
(3)
(Total 5 marks)
queen elizabeth's mercian school
3
8.
A can of drink is in the shape of a cylinder.
The can has a radius of 4 cm and a height of 15 cm.
Diagram NOT
accurately drawn
15 cm
4 cm
Calculate the volume of the cylinder.
Give your answer correct to 3 significant figures.
…………………………
(Total 3 marks)
9.
Diagram NOT
accurately drawn
3.8 cm
2.5 cm
An ice hockey puck is in the shape of a cylinder with a radius of 3.8 cm, and a thickness of
2.5 cm.
It is made out of rubber with a density of 1.5 grams per cm3.
Work out the mass of the ice hockey puck.
Give your answer correct to 3 significant figures.
............... grams
(Total 4 marks)
queen elizabeth's mercian school
4
10.
Diagram NOT
accurately drawn
5 cm
4 cm
7 cm
3 cm
Calculate the volume of the triangular prism.
...................................
(Total 4 marks)
11.
30 cm
60 cm
15 cm
Diagram NOT
accurately drawn
The diagram shows a cuboid.
The length of the cuboid is 60 cm
The width of the cuboid is 15 cm.
The height of the cuboid is 30 cm.
Work out the volume of the cuboid.
………………. cm3
(Total 2 marks)
queen elizabeth's mercian school
5