Factorise - Study guides, Revision notes & Summaries
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) Time 1 hour 30 minutes Mathematics PAPER 2 (Calculator) Higher Tier Paper
- Exam (elaborations) • 22 pages • 2023
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Pearson Edexcel 
Level 1/Level 2 GCSE (9-1) 
Time 1 hour 30 minutes 
Mathematics 
PAPER 2 (Calculator) 
Higher Tier 
Paper 
• Answer all questions. 
• Calculators may be used. 
• 
• 
• 
• Try to answer every question. 
• 
Instructions 
• Use black ink or ball-point pen. 
Fill in the boxes at the top of this page with your name, 
centre number and candidate number. 
• Answer the questions in the spaces provided 
– there may be more space than you need. 
You must show all your ...
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BMAT difficult questions And Answers 2022/2023
- Exam (elaborations) • 40 pages • 2022
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The graphs of the following equations are drawn: 
1. y = 3x - 2 
2. y = x^2 
3. y = 1 - x^2 
4. y = x + 6 
3 and 4 
 
 
 
An ore of lead contains 70 % of PbS. 
Calculate the mass of lead that can be extracted from 478k of the ore. (Ar: Pb = 207; S = 32) 
A - 28.98kg 
B - 41.4 kg 
C - 144.9 kg 
D - 289.8 kg 
E - 414.00kg 
Answer: 
478 x 0.7 = 334.6 mass of PbS 
334.6 / (207+32) = 1.4 = no. of moles of PbS 
1.4 x 207 = 289.8 kg = mass of lead 
Therefore D is the answer. 
 
 
 
The energy in joule...
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Maths edexcel Gcse 2023 questions and answers
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Maths edexcel Gcse 2023 questions and answers 
Mixed numbers to improper fractions 1 ,1/15 - CORRECT ANSWERS denominator is same as mixed number, so 15, the numerator is (denominator x whole number)+numerator so 16 
 
Improper Fractions to Mixed Numbers 140/42 - CORRECT ANSWERS See how many 42s go into 140. This the whole number, 3, and then the denominator stays the same, 42, and the numerator is the remainder, 16. so the answer is 3, 16/42 
 
BIDMAS - CORRECT ANSWERS...
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Pure Maths A Level|2023 LATEST UPDATE|GUARANTEED SUCCESS
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Gradient 
y2-y1/x2-x1 
 
 
 
Length of a line 
sqrt((x2-x1)^2+(y2-y1)^2) 
 
 
 
Midpoint 
(x1+x2/2, y1+y2/2) 
 
 
 
How do you know if two lines are perpendicular? 
When you multiply the gradients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle 
 
 
 
How do you know if two lines are parallel? 
The gradients should be the same 
 
 
 
What should you always remember when finding the square roots? 
The answer could...
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Maths A level Questions and Answers Rated A
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Maths A level Questions and Answers Rated A What is 2^x multiplied by 3^x? Let x=2 2^2 X 3^2 = 4 X 9 = 36 36=6^2 So answer is 6^x 
How would you solve (x^3 - 2x)/3x^2 Break down fraction to (x^3/ 3x^2) - (2x/3x^2) then continue to simplify fractions and cancel out like terms 
How would you factorise 4x^4 - 13x^2 + 9 Change 4x^4 and 13x^2 into 4(x^2)^2 and 13(x^2) Then let (x^2) be y and substitute y to get 4y^2-13y+9=0 which factorises into (4y-9)(y-1)=0 Which is equal to (4x^2 -9)(x^2 -1) This ...
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BMAT difficult questions with 100% correct and best solutions 2022/2023
- Exam (elaborations) • 33 pages • 2022
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The graphs of the following equations are drawn: 
1. y = 3x - 2 
2. y = x^2 
3. y = 1 - x^2 
4. y = x + 6 
3 and 4 
 
 
 
An ore of lead contains 70 % of PbS. 
Calculate the mass of lead that can be extracted from 478k of the ore. (Ar: Pb = 207; S = 32) 
A - 28.98kg 
B - 41.4 kg 
C - 144.9 kg 
D - 289.8 kg 
E - 414.00kg 
Answer: 
478 x 0.7 = 334.6 mass of PbS 
334.6 / (207+32) = 1.4 = no. of moles of PbS 
1.4 x 207 = 289.8 kg = mass of lead 
Therefore D is the answer. 
 
 
 
The energy in joules...
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AQA ALVEL JUNE 2022 FURTHER MATHS PAPER 1 QP
- Exam (elaborations) • 6 pages • 2023
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1.	BIDMAS	Brackets, Indices, Division, Multipli- cation, Addition Subtraction 2.	Integer	A whole number 3.	Factors of a number	Numbers that divide into it 4.	Prime number	Only divides by itself and one 5.	What does LCM stand for?	Lowest Common Multiple 6.	What is LCM?	The smallest number that can divide by all the numbers in the question 7.	What does HCF stand for?	Highest Common Factor 8.	What is HCF?	The biggest number that can divide into all the numbers in the question 9.	To simplify a fract...
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Pure Maths A Level Questions and Answers 100% Pass
- Exam (elaborations) • 13 pages • 2023
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Pure Maths A Level Questions and Answers 100% Pass Gradient y2-y1/x2-x1 
Length of a line sqrt((x2-x1)^2+(y2-y1)^2) 
Midpoint (x1+x2/2, y1+y2/2) 
How do you know if two lines are perpendicular? When you multiply the gradients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle 
How do you know if two lines are parallel? The gradients should be the same 
What should you always remember when finding the square roots? T...
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A level Maths Quiz with complete solutions and correct answers
- Exam (elaborations) • 3 pages • 2023
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if two lines are perpendicular, what must their gradients equal to when multiplied together? 
-1 
 
 
 
What is the equation to calculate the gradient of a line? 
y₂-y₁/x₂-x₁ 
 
 
 
 
What is the equation to calculate the length of a line? 
√(y₂−y₁)^2 + (x₂-x₁)^2 
 
 
 
What is the equation to calculate the midpoint of a line? 
(x₂+x₁) over 2 , (y₂+y₁) over 2 
 
 
 
What is the equation of a circle? 
x²+y²=r² 
 
 
 
How do you find the midpoint of a circle from the...
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AQA LEVEL 2 CERTIFICATE FURTHER MATHEMATICS 8360/1 Paper 1	Non-Calculator Mark scheme
- Exam (elaborations) • 25 pages • 2023
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LEVEL 2 CERTIFICATE 
FURTHER MATHEMATICS 
8360/1 
Paper 1	Non-Calculator 
Mark scheme 
June 2019 
Version: 1.0 Final 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
*jun/MS* 
 
 
 
Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a panel of subject teachers. This mark scheme includes any amendments made at the standardisation events which all associates participate in and is the scheme which was used by them in...
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