1/20/25, 9:35 AM Edexcel A-Level Mathematics - Pure Maths 2025|Actual Exam Set Questions And Verified Answers (Correct solutions) | Get It …
Edexcel A-Level Mathematics - Pure Maths
2025|Actual Exam Set Questions And Verified
Answers (Correct solutions) | Get It 100%
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Terms in this set (80)
Gradient y2-y1/x2-x1
Length of a line sqrt((x2-x1)^2+(y2-y1)^2)
Midpoint (x1+x2/2, y1+y2/2)
When you multiply the gradients together they
How do you know if two should equal -1. The general rule is perpendicular =
lines are perpendicular? -1/m. Or you could use Pythagoras to show there is
a right angle
How do you know if two The gradients should be the same
lines are parallel?
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, 1/20/25, 9:35 AM Edexcel A-Level Mathematics - Pure Maths 2025|Actual Exam Set Questions And Verified Answers (Correct solutions) | Get It …
What should you always The answer could be positive or negative
remember when finding
the square roots?
What is the quadratic x = (-b ± √b^2 - 4ac)/2a (will get 2 answers)
formula?
1) Divide by a on both sides 2) Complete the square
for ax2/a + bx2/a 3) Expand the second bracket,
(b/2a)2 4) Multiply by c/a by 4 and add the fractions
Describe the proof for
5) Factorise into brackets 6) Add the second bracket
the quadratic formula
to the right side 7) Square root both sides 8)
Subtract the b/2a on both sides 9) Simplify the
answer
What's the alternative ax2+bx+c = a(x + b/2a)2 + (c-b2/2a) You then simplify
formula you can use for the second bracket and solve the equation
completing the sqauare?
Horizontal translation, +a move left, -a move right,
Describe y=(x+a)
use vector (-a,0)
Vertical translation, +a move up, -a move down, use
Describe y=f(x)+a
vector (0/a)
Describe y=f(ax) Horizontal stretch by scale factor 1/a
Describe y=af(x) Vertical stretch by scale factor a
Describe y=-f(x) Reflection of the graph in the x axis
Describe y=f(-x) The graph is reflected in the y-axis
Equation for real roots b2-4ac>0 Quadratic graph passes through x axis
Equation for equal roots b2-4ac=0 Quadratic graph touches the x axis
Equation for no real roots b2-4ac<0 Quadratic graph doesn't touch x axis
Shows the relationship between two variables, x and
What is a linear model? y. The graph has a straight line and the variables are
related by y = mx + c
The two quantities increase at the same rate and the
What are the qualities of straight line passes through the origin (0,0).
direct proportion? Therefore y is directly proportional to x so y = k x
where k is the real constant
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