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AQA · GCSE · Mathematics

Free AQA GCSE Mathematics
Practice Paper

8 mixed-difficulty practice questions in the style of real AQA GCSE papers — answers, mark-scheme-style explanations, and the official exam structure all on one page.

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What the real AQA GCSE Mathematics paper looks like

Paper 1
Approximately 1 hour 30 minutes, ~70-100 marks. Covers Topics 1-4 of the specification.
Paper 2
Approximately 1 hour 30 minutes, ~70-100 marks. Covers Topics 5-8 of the specification.
Paper 3
Where applicable — e.g. Combined Science, Languages. Includes synoptic and applied questions.
Total exam time: ~3 hours across two or three papers.
Grading: Grades: 9 (highest) to 1 (lowest), with U (ungraded). A grade of 4 is a standard pass; 5 is a strong pass.

Mini practice paper: 8 questions

Mixed-difficulty questions from across the Mathematics syllabus. Tap "Show answer" after each to check yourself.

Q1 · Difficulty 1/3

Why would plotting frequency as the bar height mislead when the class widths differ?

  1. Because the bars would no longer touch
  2. Because the vertical axis would be too short
  3. Because wider classes would look more important than they are
  4. Because frequencies cannot be plotted at all
Show answer & explanation
✓ Answer: C — Because wider classes would look more important than they are
A wide class may hold many values while being thinly populated, and dividing by the width corrects for that.
Q2 · Difficulty 1/3

To find the hypotenuse, what do you do with the squares of the two shorter sides?

  1. Divide the larger by the smaller
  2. Multiply them together
  3. Add them, then take the square root
  4. Subtract the smaller from the larger
Show answer & explanation
✓ Answer: C — Add them, then take the square root
Subtracting is what you do when the unknown is a shorter side instead.
Q3 · Difficulty 1/3

Find 1% of 400.

  1. 4
  2. 40
  3. 0.4
  4. 100
Show answer & explanation
✓ Answer: A — 4
To find 1%, divide by 100: 400 ÷ 100 = 4.
Q4 · Difficulty 1/3

Make b the subject of A = bh.

  1. b = A − h
  2. b = A/h
  3. b = Ah
  4. b = h/A
Show answer & explanation
✓ Answer: B — b = A/h
Divide both sides by h: b = A/h.
Q5 · Difficulty 1/3

Solve x − 4 = 9.

  1. x = 13
  2. x = 5
  3. x = 36
  4. x = -5
Show answer & explanation
✓ Answer: A — x = 13
Add 4 to both sides: x = 9 + 4 = 13.
Q6 · Difficulty 1/3

What does the height of a bar on a histogram represent?

  1. The class width
  2. The frequency
  3. The frequency density
  4. The midpoint of the class
Show answer & explanation
✓ Answer: C — The frequency density
It is a rate rather than a count, so it must be multiplied by the class width to give the frequency.
Q7 · Difficulty 1/3

Make x the subject of y = 2x.

  1. x = y − 2
  2. x = 2/y
  3. x = y/2
  4. x = 2y
Show answer & explanation
✓ Answer: C — x = y/2
Divide both sides by 2: x = y/2.
Q8 · Difficulty 1/3

Solve x + 7 = 12.

  1. x = 5
  2. x = 19
  3. x = 7
  4. x = 12
Show answer & explanation
✓ Answer: A — x = 5
Subtract 7 from both sides: x = 12 − 7 = 5.
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AQA GCSE Mathematics FAQ

What does the AQA GCSE Mathematics exam look like?
The AQA GCSE Mathematics exam is structured across 3 components. Paper 1: Approximately 1 hour 30 minutes, ~70-100 marks. Covers Topics 1-4 of the specification. Paper 2: Approximately 1 hour 30 minutes, ~70-100 marks. Covers Topics 5-8 of the specification. Paper 3: Where applicable — e.g. Combined Science, Languages. Includes synoptic and applied questions. Total exam time: ~3 hours across two or three papers.
Can I download a free AQA GCSE Mathematics past paper?
Real AQA past papers are published directly by AQA on their official website. Kramizo doesn't redistribute copyrighted past papers, but we do generate free AI-written practice papers in the exact same style — same command words, same difficulty tier, same mark conventions. Use this practice paper as warm-up, then time yourself on official past papers before exam day.
How is AQA GCSE Mathematics graded?
Grades: 9 (highest) to 1 (lowest), with U (ungraded). A grade of 4 is a standard pass; 5 is a strong pass. Kramizo's practice questions are tagged with difficulty 1-3 mapping roughly to the lower, middle, and top grade boundaries you'll encounter in the real exam.