GCSE EDEXCEL – MATHS EXAM QUESTIONS AND ANSWERS LATEST
UPDATED 2025/2026 A COMPLETE SOLUTION WITH 100% ACCURATE
ANSWERS BEST GRADED TO SCORE A+ FOR SUCCESS
Reciprocal graphs - CORRECT ANSWERS y = a/x or xy = a
A negative reciprocal would be in the opposite quadrants to the image shown
Sine graph (wave) - CORRECT ANSWERS
Cosine graph (bucket) - CORRECT ANSWERS
Tan graph - CORRECT ANSWERS
Solving equations using graphs - CORRECT ANSWERS The points at which they both
intersect are the four values to the equations (two values if they are not quadratic). *These
values have to go together* otherwise they do not solve the equations.
Finding the equation of a line you would need if you were to solve another line when you are
already given one line - CORRECT ANSWERS Example:
You are given the graph of y = 2x² - 3x. Find the equation of the line you would need to draw in
order to solve 2x² - 5x + 1 = 0
- Rearrange the second function so that you have 2x² - 3x on one side
2x² - 5x + 1 = 0 (-1)
2x² - 5x = -1 (+2x)
2x² - 3x = 2x - 1
Therefore 2x - 1 is the line needed to solve the equation.
,GCSE EDEXCEL – MATHS EXAM QUESTIONS AND ANSWERS LATEST
UPDATED 2025/2026 A COMPLETE SOLUTION WITH 100% ACCURATE
ANSWERS BEST GRADED TO SCORE A+ FOR SUCCESS
y = f(x) + a means - CORRECT ANSWERS A translation on the y-axis (where a positive a
value means the graph goes up)
y = f(x-a) means - CORRECT ANSWERS A translation on the x-axis (where a positive a
value means you go left, or down the x-axis)
y = -f(x) means - CORRECT ANSWERS A reflection on the x-axis
y = f(-x) means - CORRECT ANSWERS A reflection on the y-axis
Distance time graphs - CORRECT ANSWERS - Gradient = speed
- The steeper the graph, the faster
- Flat sections mean it has stopped
- A positive gradient means it is going away from the starting point and vice versa
Velocity time graphs - CORRECT ANSWERS - Gradient = acceleration
- A negative gradient means deceleration
- Flat sections mean a steady velocity
- The area under the graph is the distance travelled
Estimating the area under a graph - CORRECT ANSWERS - Divide the area into
trapeziums of equal length
- Work out the area of each individually
, GCSE EDEXCEL – MATHS EXAM QUESTIONS AND ANSWERS LATEST
UPDATED 2025/2026 A COMPLETE SOLUTION WITH 100% ACCURATE
ANSWERS BEST GRADED TO SCORE A+ FOR SUCCESS
The gradient of a graph represents - CORRECT ANSWERS The rate (when time is on the
x-axis). It is the number of y-axis units over the x-axis units
Finding the average gradient of a curve - CORRECT ANSWERS Draw a straight line
between the two points and find the gradient of that
Estimating the rate at a given point - CORRECT ANSWERS Draw a tangent at the point
required on the curve and work out the gradient
Changing ratios - CORRECT ANSWERS - Write the ratios as equations
- Write the ratios as fractions
- Solve simultaneously
If y is proportional to x - CORRECT ANSWERS y = kx
If y is inversely proportional to x - CORRECT ANSWERS y = k/x
If y is proportional to the square root of x - CORRECT ANSWERS y = k√x
Simple interest - CORRECT ANSWERS This means it increases at the same rate each
year (the percentage of the original amount)
Compound interest formula - CORRECT ANSWERS N (amount after n length of time) =
Initial amount × (multiplier)^n number of (unit)
UPDATED 2025/2026 A COMPLETE SOLUTION WITH 100% ACCURATE
ANSWERS BEST GRADED TO SCORE A+ FOR SUCCESS
Reciprocal graphs - CORRECT ANSWERS y = a/x or xy = a
A negative reciprocal would be in the opposite quadrants to the image shown
Sine graph (wave) - CORRECT ANSWERS
Cosine graph (bucket) - CORRECT ANSWERS
Tan graph - CORRECT ANSWERS
Solving equations using graphs - CORRECT ANSWERS The points at which they both
intersect are the four values to the equations (two values if they are not quadratic). *These
values have to go together* otherwise they do not solve the equations.
Finding the equation of a line you would need if you were to solve another line when you are
already given one line - CORRECT ANSWERS Example:
You are given the graph of y = 2x² - 3x. Find the equation of the line you would need to draw in
order to solve 2x² - 5x + 1 = 0
- Rearrange the second function so that you have 2x² - 3x on one side
2x² - 5x + 1 = 0 (-1)
2x² - 5x = -1 (+2x)
2x² - 3x = 2x - 1
Therefore 2x - 1 is the line needed to solve the equation.
,GCSE EDEXCEL – MATHS EXAM QUESTIONS AND ANSWERS LATEST
UPDATED 2025/2026 A COMPLETE SOLUTION WITH 100% ACCURATE
ANSWERS BEST GRADED TO SCORE A+ FOR SUCCESS
y = f(x) + a means - CORRECT ANSWERS A translation on the y-axis (where a positive a
value means the graph goes up)
y = f(x-a) means - CORRECT ANSWERS A translation on the x-axis (where a positive a
value means you go left, or down the x-axis)
y = -f(x) means - CORRECT ANSWERS A reflection on the x-axis
y = f(-x) means - CORRECT ANSWERS A reflection on the y-axis
Distance time graphs - CORRECT ANSWERS - Gradient = speed
- The steeper the graph, the faster
- Flat sections mean it has stopped
- A positive gradient means it is going away from the starting point and vice versa
Velocity time graphs - CORRECT ANSWERS - Gradient = acceleration
- A negative gradient means deceleration
- Flat sections mean a steady velocity
- The area under the graph is the distance travelled
Estimating the area under a graph - CORRECT ANSWERS - Divide the area into
trapeziums of equal length
- Work out the area of each individually
, GCSE EDEXCEL – MATHS EXAM QUESTIONS AND ANSWERS LATEST
UPDATED 2025/2026 A COMPLETE SOLUTION WITH 100% ACCURATE
ANSWERS BEST GRADED TO SCORE A+ FOR SUCCESS
The gradient of a graph represents - CORRECT ANSWERS The rate (when time is on the
x-axis). It is the number of y-axis units over the x-axis units
Finding the average gradient of a curve - CORRECT ANSWERS Draw a straight line
between the two points and find the gradient of that
Estimating the rate at a given point - CORRECT ANSWERS Draw a tangent at the point
required on the curve and work out the gradient
Changing ratios - CORRECT ANSWERS - Write the ratios as equations
- Write the ratios as fractions
- Solve simultaneously
If y is proportional to x - CORRECT ANSWERS y = kx
If y is inversely proportional to x - CORRECT ANSWERS y = k/x
If y is proportional to the square root of x - CORRECT ANSWERS y = k√x
Simple interest - CORRECT ANSWERS This means it increases at the same rate each
year (the percentage of the original amount)
Compound interest formula - CORRECT ANSWERS N (amount after n length of time) =
Initial amount × (multiplier)^n number of (unit)