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Name …………………………………………….
1.
Mark …………………/30
Grade ………
Use approximations to estimate the value of 37.48  62.13
(1.95)
You must show your working.
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Answer ................................................................( 3 )
2.
(a)
Express 144 as the product of its prime factors.
Write your answer in index form.
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Answer ..................................................................
(3)
(b)
Find the Highest Common Factor (HCF) of 60 and 144.
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Answer ..................................................................
(2)
3.
(a)
Solve the equation
4(x + 3) = 9(x – 2)
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Answer x = ................................................................
(3)
Wellsway School
1
(b)
Solve these simultaneous equations
5x + 3y = 6
3x – 7y = 19
You must show your working.
Do not use trial and improvement.
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Answer x = ......................... , y = ...........................
(4)
4.
A sequence of numbers is shown.
5
(a)
9
13
17
21
Find an expression for the nth term of the sequence.
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Answer ................................................................
(2)
(b)
Explain why 83 will not be a term in this sequence.
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(2)
5.
(a)
There are 14 700 (to the nearest hundred) spectators at a football match.
(i)
What is the least possible number of spectators?
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Answer ....................................................
(1)
(ii)
What is the maximum number of spectators?
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Answer ....................................................
(1)
Wellsway School
2
(b)
The ratio of adults to children visiting a park is 3:5
One day 1740 adults go to the park.
How many children go to the park on that day?
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Answer ....................................................
(2)
(c)
A large theme park attracts 7500 visitors each day.
The park is open for 220 days.
How many visitors come to the park?
Give your answer in standard form.
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Answer ....................................................
(2)
(Total 6 marks)
Wellsway School
3
6.
The sketch shows the entrance to a tunnel.
The uniform cross-section of the tunnel is in the shape of a semi-circle over a rectangle.
1.6 m
5m
Not to scale
The rectangle is 5 metres wide and 1.6 metres high.
The tunnel is 230 metres long.
Calculate the volume of earth removed in digging the tunnel.
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Answer ....................................................... m3
(Total 5 marks)
Wellsway School
4