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AQA A/AS LEVEL AQA Level 2 Certificate in Further Mathematics 27
AQA A/AS LEVEL AQA Level 2 Certificate in Further Mathematics 27 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
2.6	Manipulation of rational expressions: 
Use of + – × ÷ for algebraic fractions with denominators being numeric, linear or quadratic 
 
 
Simplify 
 
Simplify 
 
x2 + 3x – 10 
 
 
x2 –9 
x3 + 2x2 + x x2 + x 
 
÷ x + 5 
x2 + 3x 
 
 
Simplify 
 
5x2 – 14x –3 ÷ 
4x2 – 25 
 
x –3 4x2 + 10x 
 
 
 
2.7	Use and manipulation of formulae and	Rearrange 1 = 1 + 1 to make v...
- Exam (elaborations)
- • 24 pages •
AQA A/AS LEVEL AQA Level 2 Certificate in Further Mathematics 27 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
2.6	Manipulation of rational expressions: 
Use of + – × ÷ for algebraic fractions with denominators being numeric, linear or quadratic 
 
 
Simplify 
 
Simplify 
 
x2 + 3x – 10 
 
 
x2 –9 
x3 + 2x2 + x x2 + x 
 
÷ x + 5 
x2 + 3x 
 
 
Simplify 
 
5x2 – 14x –3 ÷ 
4x2 – 25 
 
x –3 4x2 + 10x 
 
 
 
2.7	Use and manipulation of formulae and	Rearrange 1 = 1 + 1 to make v...
AQA GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator 26
AQA GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator 26 
 
 
6	 
(b)	 
Is Anna more likely to win or to lose? 
You must work out the probability that she wins. 
[4 marks] 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Turn over for the next question 
 
 
 
Turn over ► 
 
 
7	 
Three friends arrive at a party. 
Their arrival increases the number of people at the party by 20% 
 
In total, how many people are now at the party? 
[2 marks] 
 
 
 
 
 
...
- Exam (elaborations)
- • 26 pages •
AQA GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator 26 
 
 
6	 
(b)	 
Is Anna more likely to win or to lose? 
You must work out the probability that she wins. 
[4 marks] 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Turn over for the next question 
 
 
 
Turn over ► 
 
 
7	 
Three friends arrive at a party. 
Their arrival increases the number of people at the party by 20% 
 
In total, how many people are now at the party? 
[2 marks] 
 
 
 
 
 
...
AQA A/AS LEVEL GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator
AQA A/AS LEVEL GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator 
 
9	The range of a set of numbers is 15 1 
4 
The smallest number is –2 7 
8 
 
Work out the largest number. 
[3 marks] 
	 
	 
	 
	 
	 
	 
	 
 
Answer 	 
 
 
 
 
10	y is inversely proportional to x. 
 
Complete the table. 
[2 marks] 
 
 
 
x	12	6	 
y		4	8 
 
 
 
 
 
 
 
 
Turn over for the next question 
 
 
 
 
*07* 
 
Turn over ► 
 
 
11	 
A large rectangle is made by joining three identical small rectangles as shown...
- Exam (elaborations)
- • 30 pages •
AQA A/AS LEVEL GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator 
 
9	The range of a set of numbers is 15 1 
4 
The smallest number is –2 7 
8 
 
Work out the largest number. 
[3 marks] 
	 
	 
	 
	 
	 
	 
	 
 
Answer 	 
 
 
 
 
10	y is inversely proportional to x. 
 
Complete the table. 
[2 marks] 
 
 
 
x	12	6	 
y		4	8 
 
 
 
 
 
 
 
 
Turn over for the next question 
 
 
 
 
*07* 
 
Turn over ► 
 
 
11	 
A large rectangle is made by joining three identical small rectangles as shown...
AQA A/AS LEVEL GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator
AQA A/AS LEVEL GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator 
 
The height of Zak is 1.86 metres. The height of Fred is 1.6 metres. 
Write the height of Zak as a fraction of the height of Fred. Give your answer in its simplest form. 
[3 marks] 
 
 
 
 
 
 
Answer
- Exam (elaborations)
- • 30 pages •
AQA A/AS LEVEL GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator 
 
The height of Zak is 1.86 metres. The height of Fred is 1.6 metres. 
Write the height of Zak as a fraction of the height of Fred. Give your answer in its simplest form. 
[3 marks] 
 
 
 
 
 
 
Answer
AQA A/AS LEVEL GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator 22
AQA A/AS LEVEL GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator 23 
The table shows information about the times for 10 people to complete a task. 
 
 
Time, t (minutes)	Frequency 
0 <	t ⩽ 20	1 
20 <	t ⩽ 40	6 
40 <	t ⩽ 60	3 
 
These statements are about the mean and range of the actual times. Tick the correct box for each statement. 
[4 marks] 
 
 
 
True	False 
 
 
 
 
7	3 of a number is 162 
5 
 
Work out the number. 
[2 marks] 
	 
	 
	 
	 
	 
 
Answer 	 
 
 
 
 
8	x km/h =...
- Exam (elaborations)
- • 31 pages •
AQA A/AS LEVEL GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator 23 
The table shows information about the times for 10 people to complete a task. 
 
 
Time, t (minutes)	Frequency 
0 <	t ⩽ 20	1 
20 <	t ⩽ 40	6 
40 <	t ⩽ 60	3 
 
These statements are about the mean and range of the actual times. Tick the correct box for each statement. 
[4 marks] 
 
 
 
True	False 
 
 
 
 
7	3 of a number is 162 
5 
 
Work out the number. 
[2 marks] 
	 
	 
	 
	 
	 
 
Answer 	 
 
 
 
 
8	x km/h =...
AQA A/AS LEVEL GCSE Mathematics Specification (8300/3F) Paper 3 Foundation tier 22
AQA A/AS LEVEL GCSE Mathematics Specification (8300/3F) Paper 3 Foundation tier 22 
4	Liz buys a car for £7500 
 
She pays a deposit of £1875 
She pays the rest in 36 equal monthly payments. 
 
Work out the amount of each monthly payment. 
[3 marks] 
 
 
 
 
 
 
 
 
 
Answer £ 	 
 
 
 
 
 
 
 
5	120 men and 80 women were asked if they drive to work. 
 
Altogether 1 
4 
 
 
of the people said yes. 
 
1 of the men said yes. 
3 
 
What fraction of the women said yes? 
[4 marks] 
 
 
 
 
 
 ...
- Exam (elaborations)
- • 27 pages •
AQA A/AS LEVEL GCSE Mathematics Specification (8300/3F) Paper 3 Foundation tier 22 
4	Liz buys a car for £7500 
 
She pays a deposit of £1875 
She pays the rest in 36 equal monthly payments. 
 
Work out the amount of each monthly payment. 
[3 marks] 
 
 
 
 
 
 
 
 
 
Answer £ 	 
 
 
 
 
 
 
 
5	120 men and 80 women were asked if they drive to work. 
 
Altogether 1 
4 
 
 
of the people said yes. 
 
1 of the men said yes. 
3 
 
What fraction of the women said yes? 
[4 marks] 
 
 
 
 
 
 ...
AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 21
AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 21 
 
16	 
(a)	 
Draw the graph of	y = 3.6x	for values of x from 0 to 20 
[2 marks] 
 
 
 
 
 
 
 
 
 
 
		 
In the formula	y = 3.6x 
y is speed in kilometres per hour (km/h) 
x is speed in metres per second (m/s) 
16	(b)	Convert 50 km/h to m/s 
Give your answer to the nearest whole number. 
[1 mark] 
 
 
 
 
 
 
Answer 		m/s 
 
 
 
 
 
 
16	(c)	Convert 30 m/s to miles per hour. 
Use	1 mile per hour = 1.61 km/h 
[3 marks] 
 
 ...
- Exam (elaborations)
- • 39 pages •
AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 21 
 
16	 
(a)	 
Draw the graph of	y = 3.6x	for values of x from 0 to 20 
[2 marks] 
 
 
 
 
 
 
 
 
 
 
		 
In the formula	y = 3.6x 
y is speed in kilometres per hour (km/h) 
x is speed in metres per second (m/s) 
16	(b)	Convert 50 km/h to m/s 
Give your answer to the nearest whole number. 
[1 mark] 
 
 
 
 
 
 
Answer 		m/s 
 
 
 
 
 
 
16	(c)	Convert 30 m/s to miles per hour. 
Use	1 mile per hour = 1.61 km/h 
[3 marks] 
 
 ...
AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 20
GCSE 
MATHEMATICS 
Foundation Tier	Paper 3 Calculator 
 
Beth sells hot dogs at a market. 
Each hot dog is a sausage in a bread roll. 
 
 
The table shows her costs. 
 
 
Fee paid to market	£240 
Bread rolls	42p per pack of 6 
Sausages	£2.50 per jar of 10 
Other costs	£57 
 
 
Beth sells the hot dogs for £3 each. She sells 300 hot dogs. 
Work out her total profit. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
[5 marks] 
 
box 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ...
- Exam (elaborations)
- • 31 pages •
GCSE 
MATHEMATICS 
Foundation Tier	Paper 3 Calculator 
 
Beth sells hot dogs at a market. 
Each hot dog is a sausage in a bread roll. 
 
 
The table shows her costs. 
 
 
Fee paid to market	£240 
Bread rolls	42p per pack of 6 
Sausages	£2.50 per jar of 10 
Other costs	£57 
 
 
Beth sells the hot dogs for £3 each. She sells 300 hot dogs. 
Work out her total profit. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
[5 marks] 
 
box 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ...
AQA A/AS LEVEL _MARK SCHEME_LEVEL 2 CERTIFICATE FURTHER MATHEMATICS 8360/1 Paper 1	Non-Calculator BEST FOR 2022 ACTUAL EXAM REVIEW
AQA A/AS LEVEL LEVEL 2 CERTIFICATE FURTHER MATHEMATICS 8360/1 Paper 1	Non-Calculator BEST FOR 2022 ACTUAL EXAM REVIEW 
 
	Correct expansion, then p + 6 = 4 followed by p = 2 (incorrect) would give k = 5 on ft ... allow ft mark for k	M1, A0 M1, A1ft 
	In Alt 2 substituting x = 1 leads to k = 3 (a second equation would be needed to gain further marks)	M1, A1 
 
 
 
 
 
 
 
5	2 x 10 = 23 or 2 x 10 = 8 
or 2 x = 18	 
M1	 
	23 10	8 10 
x 	or	x 
2	2 
or	x = 9 or 4x = 182 or x =...
- Exam (elaborations)
- • 25 pages •
AQA A/AS LEVEL LEVEL 2 CERTIFICATE FURTHER MATHEMATICS 8360/1 Paper 1	Non-Calculator BEST FOR 2022 ACTUAL EXAM REVIEW 
 
	Correct expansion, then p + 6 = 4 followed by p = 2 (incorrect) would give k = 5 on ft ... allow ft mark for k	M1, A0 M1, A1ft 
	In Alt 2 substituting x = 1 leads to k = 3 (a second equation would be needed to gain further marks)	M1, A1 
 
 
 
 
 
 
 
5	2 x 10 = 23 or 2 x 10 = 8 
or 2 x = 18	 
M1	 
	23 10	8 10 
x 	or	x 
2	2 
or	x = 9 or 4x = 182 or x =...
AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 19
AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 19 
 
 
 
 
 
 
 
 
 
 
 
15	 
 
 
 
 
 
 
 
 
 
 
(a)	 
 
 
 
 
 
 
 
 
 
 
Work out the actual distance between towns P and Q. 
[2 marks] 
		 
		 
		 
 
Answer	km 
 
 
 
 
 
15	(b)	Town R is 200 km due South of town P. 
 
Mark R on the map. 
[2 marks] 
 
 
 
 
 
 
 
 
*13* 
 
Turn over ► 
 
 
 
16	 
A train has 1 first-class carriage and 6 standard carriages. 
 
The first-class carriage has 64 seats. 
3 are being used. 
8 ...
- Exam (elaborations)
- • 31 pages •
AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 19 
 
 
 
 
 
 
 
 
 
 
 
15	 
 
 
 
 
 
 
 
 
 
 
(a)	 
 
 
 
 
 
 
 
 
 
 
Work out the actual distance between towns P and Q. 
[2 marks] 
		 
		 
		 
 
Answer	km 
 
 
 
 
 
15	(b)	Town R is 200 km due South of town P. 
 
Mark R on the map. 
[2 marks] 
 
 
 
 
 
 
 
 
*13* 
 
Turn over ► 
 
 
 
16	 
A train has 1 first-class carriage and 6 standard carriages. 
 
The first-class carriage has 64 seats. 
3 are being used. 
8 ...
CCEA Government and Politics Assessment Unit AS 2 The British Political Process
DEWIT’S MEDICAL SURGICAL NURSING CONCEPTS AND PRACTICE 4TH EDITION STROMBERG TEST BANK 2022
[Question Paper: Pearson Edexcel A-Level 2022] Politics Paper 3: Comparative Politics – Global Politics
DEWIT’S MEDICAL SURGICAL NURSING CONCEPTS AND PRACTICE 4TH EDITION STROMBERG TEST BANK 2022
Questions&Answers ALS FINAL EXAM 2022