Cosine rule - Study guides, Study notes & Summaries
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Edexcel AS Pure Maths|2023 LATEST UPDATE|GUARANTEED SUCCESS
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Quadratic Formula 
 
 
 
Domain 
The set of possible inputs for a function. 
 
 
 
Range 
The set of possible outputs of a function. 
 
 
 
Discriminant 
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 
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) ...
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Edexcel Pure Maths: A-Level, Content ideas and Formula Already Passed
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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...
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TSA Written Exam Study Guide Questions and Answers Rated A+
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TSA Written Exam Study Guide Questions and Answers Rated A+ 
The technique of holding a particular picture on the screen for an extended period of time is known as a/an freeze frame 
A device that converts electricity into sound is a/an speaker 
When the length of the side adjacent to an angle is divided by the hypotenuse of a right triangle, the result is the _ of the angle. cosine 
The number system that uses only 1's and 0's to represent values is binary 
The part of an internal combination...
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A-Level Maths Formulas / Sure A+
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Area of a triangle - 1/2absinC 
completing the square - x^2 + bx = (x + b/2)^2 - (b/2)^2 + c 
Cosine rule - a² = b² + c² - 2bcCosA 
Equation of a Circle - r^2 = (x-a)^2+(y-b)^2 
Equation of a Tangent - y - y1 = m(x - x1) 
Sin rule - a/sinA = b/sinB = c/sinC
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Edexcel A Level Maths (A+ Graded 100% Verified)
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Edexcel A Level Maths (A+ Graded 100% Verified) 
 
Cosine Rule - Know 2 sides, and the angle in between. You want the missing side. ANS: a² = b² + c² - 2bcCosA 
 
Cosine Rule - Know 3 sides. You want an angle. ANS: Cos A = (b² + c² - a²) ÷ 2bc 
 
Sine Rule - Know 2 angles and a side. You want the missing side. ANS: (a ÷ SinA) = (b ÷ SinB) = (c ÷ SinC) 
 
Sine Rule - Know 2 sides and an angle. You want a missing angle. ANS: (Sin A ÷ a) = (Sin B ÷ b) = (Sin C ÷ c) 
 
Midpoint of a...
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Pure Maths A Level Questions and Answers 100% Pass
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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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AS MATHEMATICS 7356/1
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AS 
MATHEMATICS 
7356/1 
Paper 1 
Mark scheme 
June 2024 
Version: 1.0 Final 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
*246A7356/1/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 this examination. The standardisation ...
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Edexcel A-Level Mathematics - Pure Maths
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1.	Gradient	y2-y1/x2-x1 2.	Length of a line	sqrt((x2-x1)^2+(y2-y1)^2) 3.	Midpoint	(x1+x2/2, y1+y2/2) 4.	How do you know if two lines are perpendic- ular? When you multiply the gra- dients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle 5.	How do you know if two lines are parallel?	The gradients should be the same 6.	What should you always remember when finding the square roots? The answer cou...
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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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BC Calculus Test 2 Derivative rules and Rectalinear motion Questions and Answers
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BC Calculus Test 2 Derivative rules and Rectalinear motion Questions and Answers 
 
Derivative Notation 
D(x)f(x) means the derivative wrt x 
With the big bar it means to evaluate at a specific value 
Second derivative is derivative of derivative 
 
 
 
 
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Derivative Rules 
 
 
 
Power rule proof for negative integers 
look at f(x) = x^(-n) as 1/x^n, then use the quotient r...
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