Name
For AQA
General Certificate of Secondary Education
MATHEMATICS (MODULAR)
Module 3
Higher Tier
Section A
H
Paper E
For this paper you must have:
•
a calculator
•
mathematical instruments.
Time allowed for Section A: 45 minutes
Instructions and Information
•
Write your name in the box at the top of the page.
•
Answer all questions in the spaces provided.
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The maximum mark for Section A is 35.
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The marks for questions are shown in brackets.
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This paper is divided into two sections: Section A and Section B.
•
After the 45 minutes allowed for Section A, you must put your
calculator away. You will then be given Section B.
•
When you have answered Section B you may work again on
Section A but you may not use your calculator.
Advice
•
In all calculations, show clearly how you work out your answer.
Written by Shaun Armstrong
Only to be copied for use in the purchaser's school or college
AHE 09 Module 3A Page 1
© Churchill Maths Limited
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Answer all questions in the spaces provided.
1
Solder is an alloy made from tin and lead.
The ratio of the weight of tin to the weight of lead in solder is 5 : 3
Work out the weight of lead in 20 grams of solder.
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Answer ………………………………………… g
2
A mobile phone weighs 82 grams correct to the nearest gram.
2
(a)
(b)
(1 mark)
Write down the greatest possible weight of the phone.
Answer ………………………………………… g
3
2
Write down the least possible weight of the phone.
Answer ………………………………………… g
2
(2 marks)
(1 mark)
2
Molly says that if the difference between two prime numbers is odd, one of the numbers
must be 2.
Explain why Molly is right.
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(2 marks)
AHE 09 Module 3A Page 2
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4
(a)
Express 180 as the product of its prime factors.
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Answer ……………………………………………
4
(b)
(i)
(2 marks)
Find the Highest Common Factor (HCF) of 48 and 180.
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Answer ……………………………………………
4
(b)
(ii)
(3 marks)
Find the Lowest Common Multiple (LCM) of 48 and 180.
Give your answer as the product of its prime factors.
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Answer ……………………………………………
5
(a)
Expand
(b)
6
y(y + 6)
Answer ……………………………………………
5
(1 mark)
Factorise fully
(1 mark)
p2q + 4pq
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Answer ……………………………………………
5
(c)
Expand and simplify
(2 marks)
(x – 3)2
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Answer ……………………………………………
(2 marks)
Turn over 
AHE 09 Module 3A Page 3
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6
Joel cycles from his home in Antown to his friend's house in Callick.
The first part of Joel's journey is from Antown to Bowville.
He arrives in Bowville after 20 minutes, having travelled 12 km.
The second part of Joel's journey is from Bowville to Callick.
In total, he travels 30 km in 1 hour.
Find the difference between Joel's average speed on the two parts of his journey.
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Answer
7
(a)
(i)
.…………………………………… km/h
Use your calculator to work out
(5 marks)
5
6.19  2.382
 20.57
Write down all the figures on your calculator display.
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Answer ……………………………………………
7
(a)
(ii)
Write your answer to part (i) correct to 3 significant figures.
Answer ……………………………………………
7
(b)
(2 marks)
Work out
(1 mark)
(4.8 × 104) × (2.3 × 107)
Give your answer in standard form correct to 2 significant figures.
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Answer ……………………………………………
AHE 09 Module 3A Page 4
© Churchill Maths Limited
(2 marks)
5
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8
Ben is going to America.
The exchange rate is £1 = $1.86
8
(a)
Work out how many dollars Ben will get for £300.
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Answer $ …………………………………………
(2 marks)
Ian is moving from America to Britain and is planning to buy a house.
He decides that he will need to spend £180 000 to the nearest £10 000.
He expects the exchange rate to be £1 = $1.80 to the nearest 10 cents when he buys the
house.
8
(b)
Work out the least amount, in dollars, that Ian will need to buy a house.
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Answer $ …………………………………………
9
(3 marks)
5
d is inversely proportional to the square root of t.
d = 1.5 when t = 9.
Find a formula for d in terms of t.
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Answer ……………………………………………
END OF SECTION A
AHE 09 Module 3A Page 5
© Churchill Maths Limited
(3 marks)
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