GCSE Maths Higher Paper 3 free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper GCSE Maths Higher Paper 3 set, then download the 3-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
(2 marks)
Simplify 3x³ × 3x².
Answer
Question 1 (2 marks) [Simplifying expressions]
Simplify 3x³ × 3x².
Answer: 9x⁵
- Multiply the numbers: 3 × 3 = 9.
- Multiply the letters by ADDING the powers: x³ × x² = x^(3+2) = x⁵.
- Answer: 9x⁵.
Multiplying terms: multiply the numbers, add the powers of each letter.
Your sample is downloading. Liked it? GCSE Maths Higher Paper 3 Paper 1 is the full paper: an 80-mark calculator paper in 1 hour 30 minutes, with a worked solution for every question.
Get Paper 1 for A$11.99See all 20 papers from A$11.99More free GCSE Maths samples
Questions about this sample
What is in the GCSE Maths Higher Paper 3 free sample?
The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 3-page PDF; this page shows question 1 with its answer.
How many full GCSE Maths Higher Paper 3 papers are there?
20 original papers for GCSE Maths Higher students. Each is an 80-mark calculator paper in 1 hour 30 minutes, with a worked solution for every question. Papers start at A$11.99 and download instantly as a PDF.
Are these official past papers?
No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.