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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 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ... i x Exam (elaborations) • 31 pages • by Amerit234 • uploaded 2022 Quick View i x GCSE • Maths AQA A/AS LEVEL _MARK SCHEME_LEVEL 2 CERTIFICATE FURTHER MATHEMATICS 8360/1 Paper 1	Non-Calculator BEST FOR 2022 ACTUAL EXAM REVIEW (0) $15.99 0x sold 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 =... i x Exam (elaborations) • 25 pages • by Amerit234 • uploaded 2022 Quick View i x GCSE • Maths AQA A/AS LEVEL Level 2 Certificate FURTHER MATHEMATICS Paper 1 Non-Calculator (0) $15.99 0x sold AQA A/AS LEVEL Level 2 Certificate FURTHER MATHEMATICS Paper 1 Non-Calculator 
 
3	 
Work out the smallest integer value of x that satisfies the inequality	8 – 5x ˂ 26 
[2 marks] 
	 
	 
	 
	 
	 
 
Answer 	 
 
 
 
4	 
 
p(x – 1) + 2(3x + k) ≡ 4(x + 2)	where p and k are integers. Work out the values of p and k. 
[4 marks] 
	 
	 
	 
	 
	 
	 
	 
	 
 
Answer	p =	,	k = 	 
 
 
 
Turn over ► 
 
 
outside the 
 
 
7	 
A function is given by	f(x) = −2x	−1 ⩽ x ˂ 0 
 
= x(4 – x)	0 ⩽... i x Exam (elaborations) • 34 pages • by Amerit234 • uploaded 2022 Quick View i x GCSE • Maths AQA A/AS LEVEL AQA Level 2 Certificate in Further Mathematics 27 (0) $15.99 0x sold 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... i x Exam (elaborations) • 24 pages • by Amerit234 • uploaded 2022 Quick View i x GCSE • Maths AQA A/AS LEVEL GCSE MATHEMATICS Higher Tier	Paper 1 Non-Calculator (0) $15.99 0x sold 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 i x Exam (elaborations) • 30 pages • by Amerit234 • uploaded 2022 Quick View i x GCSE • Maths AQA A/AS LEVEL GCSE Mathematics Specification (8300/3F) Paper 3 Foundation tier 22 (0) $15.99 0x sold 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] 
 
 
 
 
 
 ... i x Exam (elaborations) • 27 pages • by Amerit234 • uploaded 2022 Quick View i x GCSE • Maths AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 19 (0) $15.99 0x sold 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 ... i x Exam (elaborations) • 31 pages • by Amerit234 • uploaded 2022 Quick View i x GCSE • Maths AQAA/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 18 (0) $15.99 0x sold AQAA/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 18 
 
6		 
Josh downloads album A. A has 11 tracks. 
Each track on A costs the same. 
The total cost of downloading A is £8.80 
 
Josh also downloads album B. B has 14 tracks. 
 
6	 
(a)	 
Work out the total cost of downloading B. 
Assume each track costs the same as a track on A. 
[3 marks] 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Answer	£ 	 
 
 
6	 
(b)	 
In fact, compared to the cost of each track on A 
the cost of 6 tracks on B is more... i x Exam (elaborations) • 32 pages • by Amerit234 • uploaded 2022 Quick View i x GCSE • Maths AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 17 (0) $15.99 0x sold AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 17 
 
7	 
Link the algebra to the correct description. One has been done for you. 
[3 marks] 
 
 
 
 
 
 
Turn over for the next question 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Turn over ► 
 
8	Jim has six banknotes. 
The value of each note is £5 or £10 or £20 
 
He can make £20 with three notes. He can make £55 with four notes. 
He cannot make £25 with three notes. He cannot make £25 with four notes. 
List the six notes. 
 
 
 ... i x Exam (elaborations) • 33 pages • by Amerit234 • uploaded 2022 Quick View i x GCSE • Maths AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator (0) $14.99 0x sold AQA A/AS LEVEL GCSE MATHEMATICS Foundation Tier	Paper 3 Calculator 
14	(a)	 
The front elevation, side elevation and plan of a solid are all the same, as shown. 
 
 
 
 
 
 
Write down the name of the solid. 
[1 mark] 
		 
Answer 	 
 
 
 
 
 
 
14	(b)	The front elevation, side elevation and plan of a solid are all the same, as shown. 
 
 
 
 
 
 
Write down the name of the solid. 
[1 mark] 
		 
Answer 	 
 
 
15	Show that there are exactly five 3-digit cube numbers. 
[3 marks] 
 
 
 
 
 
 ... i x Exam (elaborations) • 29 pages • by Amerit234 • uploaded 2022 Quick View i x GCSE • Maths 1 ... 9 10 11 ...
CCEA Government and Politics Assessment Unit AS 2 The British Political Process
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Questions&Answers ALS FINAL EXAM 2022