Pure maths formula - Study guides, Class notes & Summaries

Edexcel AS Pure Maths Questions with 100% Correct Answers Quadratic Formula - ANSWER Discriminant - ANSWER b² - 4ac > 0 then two distinct real roots. b² - 4ac = 0 then one repeated real root. b² - 4ac < 0 then a quadratic function has no real roots. Types of Lines for Regions - ANSWER If y < f(x) or y > f(x) then the curve y = f(x) is not included in the region, and is represented by a dotted line. If y ≤ f(x) or y ≥ f(x) then the curve y =...

Edexcel Pure Maths: A-Level, Content ideas and Formula Already Passed What are the turning point co-ordinates in f(x)=a(x+p)^2 +q (-p,q) How many roots are there if the discriminent > 0? Two distinct roots How many roots are there if the discriminent = 0? One/repeated root How many roots are there if the discriminent < 0? no real roots What can we use the discriminent to find? no. of points of intersection What does the solution of a pair of simultaneous equations represent? points of...

Edexcel AS Pure Maths Questions And Correct marking Scheme Quadratic Formula - ANSWERS Domain - ANSWERS The set of possible inputs for a function. Range - ANSWERS The set of possible outputs of a function. Discriminant - ANSWERS b² - 4ac > 0 then two distinct real roots. b² - 4ac = 0 then one repeated real root. b² - 4ac < 0 then a quadratic function has no real roots. Types of Lines for Regions - ANSWERS If y < f(x) ...

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...

Edexcel Maths Pure Paper 2 A+ Graded 100% Verified (Yr1) Expanding (a+B) ^n using the binomial expansion formula? ANS: (3-2x)^8 Find the binomial expansions up to x^2 1.) 8C0 x(-2x)x(3^8) + 8C1x(-2x)x(3^7) + 8C2x(-2x)^2x(3^6) 2. (1 + 2x)^30 up to x^3 =30C0x(2x) + 30C1x(2x) + 30C2x(2x)^2 xeg( 1^28)+ 30C3x(2x)^3 Powers (x) go up Coefficient (eg 1) goes down Binomial expansion formula when n(power) is a negative number or a fraction ANS: (1+x)^n = 1 + nx + n(n-1)/2 (x^2) + n(...

A-Level Edexcel 2022 Pure Mathematics Paper 1 and 2 Papers all included with Mark Schemes CGP A-Level Edexcel 2022 Pure Mathematics Paper 1 and 2 Papers all included with Mark Schemes A-Level Edexcel 2022 Pure Mathematics Paper 1 and 2 Papers all included with Mark Schemes Centre name Centre number Candidate number Surname Other names Candidate signature In addition to this paper you should have: • An Edexcel mathematical formula booklet • Acalculator CGP A-Level Edexcel 2...

A Level Edexcel Pure Maths Paper 1 Exam Questions With Correct Answers And Formula 2024 where a, b and c are real constants and a≠0 What is the quadratic formula? - ANSWER x = (-b±√b²-4ac)/2a completing the square - ANSWER x² + bx = (x+b/2)² - (b/2)² ax² + bx + c = a(x + b/2a)² + (c - b²/4a²) The discriminant - ANSWER b²−4ac > 0 two real, distinct roots. b²−4ac = 0 one repeated root. b²−4ac < 0 no real roots. Gradient of a straight line - ANSWER m = y₁ - y...

Edexcel AS Pure Maths

What are the turning point co-ordinates in f(x)=a(x+p)^2 +q (-p,q) How many roots are there if the discriminent > 0? Two distinct roots How many roots are there if the discriminent = 0? One/repeated root How many roots are there if the discriminent < 0? no real roots What can we use the discriminent to find? no. of points of intersection What does the solution of a pair of simultaneous equations represent? points of intersection on their graphs What do you use to see/show a linear i...