Prepare for the 2026 GCSE Mathematics exam with this Practice Paper 3 for the Higher Tier. This paper includes a variety of questions designed to test your understanding of key mathematical concepts, including algebra, geometry, and statistics. Ideal for students aiming to improve their calculator skills, the paper features real exam-style questions and provides a comprehensive review of the topics covered in the curriculum. Use this resource to practice and refine your problem-solving abilities ahead of the exam.

Key Points

  • Includes a range of GCSE Mathematics questions for Higher Tier students.
  • Focuses on calculator skills essential for the 2026 exam.
  • Covers topics such as algebra, geometry, and statistics.
  • Provides an opportunity for students to practice real exam-style questions.
Yukta Peerannawar
18 pages
Language:English
Type:Past Paper
Biology
Yukta Peerannawar
18 pages
Language:English
Type:Past Paper
Biology
68
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GCSE Mathematics
Practice Paper 2026
Paper 3 (Calculator)
Higher Tier
www.thegcsemathstutor.co.uk
How it all Works
Work through the practice booklet,
scan the code, watch the live
tutorial and check your answers.
Try it out
Disclaimer: There is no guarantee that any specific topic will be examined this way in the
summer and you cannot rely on this as your only source of revision. Please visit the
YouTube channel for in depth lessons on each of the top ics within this document along with
any recommended re vision that has been instructed by your education provider.
www.thegcsemathstutor.co.uk
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages of your working.
1. Write 90 as a product of its prime factors.
……………..………………………..
(Total for Question 1 is 2 marks)
(Total for Question 2 is 2 marks)
www.thegcsemathstutor.co.uk
3. ACF and ADG are straight lines.
BCD and EFG are parallel lines.
Find the size of angle CAD.
Give a reason for each stage of your working.
………………………………..
(Total for Question 3 is 5 marks)
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End of Document
68

Figures

How it all Works
Disclaimer: There is no guarantee that any specific topic will be examined this way in the
Draw a frequency polygon for the information in the table.
(Total for Question 2 is 2 marks)
Find the size of angle CAD.
A student works out an estimate for the mean temperature as follows:
Complete the cumulative frequency table.
On the grid opposite, draw a cumulative frequency graph for your completed
Use your graph to find an estimate for the interquartile range.
The cone and the cylinder have the same radius and the same height.
Work out an estimate for the distance the car travelled in the first 20 seconds.
is 3.4 km from point

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FAQs

What is the method to find the value of a car in 2025 based on depreciation?
To find the value of a car in 2025 after a 15% depreciation that reduces its value by £1,800, you can set up an equation. The depreciation amount (£1,800) represents 15% of the car's value in 2025. Therefore, if 'x' is the value of the car in 2025, the equation can be expressed as 0.15x = 1800. Solving for 'x' gives you the value of the car in 2025.

How do you calculate the density of liquid Z from liquids X and Y?
To calculate the density of liquid Z, mix 50 cm³ of liquid X with 70 cm³ of liquid Y. Liquid X has a density of 2.4 g/cm³, and liquid Y has a density of 0.9 g/cm³. The total mass of the mixture is calculated by adding the mass of each liquid: (50 cm³ * 2.4 g/cm³) + (70 cm³ * 0.9 g/cm³). The density of liquid Z is then found by dividing the total mass by the total volume (120 cm³).

What is the process to find angle CAD in the given triangle?
To find the size of angle CAD in the triangle where ACF and ADG are straight lines and BCD and EFG are parallel, you can apply the properties of angles. Given that angle D is 125° and angle G is 118°, you can use the fact that alternate angles are equal and the sum of angles in a triangle is 180°. By calculating the remaining angles, you can derive the measure of angle CAD.

What is the formula for the nth term of the quadratic sequence provided?
The first five terms of the quadratic sequence are 4, 11, 22, 37, and 56. To find the nth term, you can observe the differences between the terms. The second difference is constant, indicating a quadratic relationship. By using the method of finite differences or deriving a general formula through pattern recognition, you can express the nth term in terms of 'n'.

How do you estimate the mean temperature from the given data?
To estimate the mean temperature from the given data for 50 cities, you multiply the midpoints of the temperature ranges by their respective frequencies. The calculations involve adding these products together and then dividing by the total number of cities. The student’s method, however, contains an error in the final division step, leading to an incorrect mean temperature estimate.