Factorise Study guides, Study notes & Summaries

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 ...

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...

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...

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...

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...

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 ...

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...

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...

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...

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...