Pure maths formula - Study guides, Class notes & Summaries

EDEXCEL AS LEVEL MARKSCHEME MATHS MA0-22 AS PURE MATHS - June 2023 Parallel lines - ANS-have the SAME gradient. Perpendicular lines - ANS-They meet at a right angle. If line 1 has a gradient of m, the gradient of line 2 is -1/m Distance between two points - ANS-√(x₁-x₂)² + (y₁-y₂)² equation for midpoint - ANS-(x₁+x₂/2 , y₁+y₂/2) Equation of a circle - ANS-(x-a)² + (y-b)² = r² with centre (a,b) and radius r. What is a tangent? - ANS-A tangent is a line that only...

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) ...

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...

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...

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