Hard GCSE Maths Questions – Part 1

Simon Deacon

2 months ago

This worksheet is a series of hard GCSE maths questions, and is aimed at around grade 6 higher level, from the non calculator paper. There isn’t a specific board, although these types of problems might appear on Edexcel, OCR, AQA or Educas.

Download a copy of the questions here: Hard GCSE Maths Questions – Part 1

Here’s a copy of the written answers: Hard GCSE Maths Questions – Part 1 ANSWERS

Here’s the videos for each of the hard maths GCSE questions …. although please do
– stop the video
– work through the question
– compare your solutions

I hope the videos help and please do leave a comment – thanks!

Here’s the questions:

#GCSE #practice #revision #maths #math

1. Simplify an algebraic expression (4 marks)

2. Prove algebraically that the straight line with the equation x – 2y = 10 is a tangent to the circle with equation x² + y² = 20 (4 marks)

3. The nth term of a sequence is n² + 2n + 1. Two consecutive terms in the sequence have a difference of 13. Work out the two terms. (3 marks)

4. Working with a histogram (4 marks)

5. Working out the area of a triangle using surds (5 marks)

Top Tips!

Always work methodically and show your working
Why is that information in the first few lines?
Check your calculations
Is it a reasonable answer?

Please do leave a comment below if you are not sure with any of the questions. Alternately you can view my YouTube channel and leave a comment there – I’ll always try to respond as quickly as possible.

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