How many Sample space diagrams practice questions are there?

There are 40 self-marking GCSE Maths questions on Sample space diagrams, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Sample space diagrams?

No. You can start practising Sample space diagrams straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.

Tree diagrams and combined events

Sample space diagrams

Q: What are the common mistakes in Sample space diagrams?

Leaves a probability fraction in an unsimplified form Reports a raw count of outcomes instead of expressing the answer as a probability/ratio Uses the denominator for a single event instead of the combined sample space

40 self-marking GCSE practice questions on Sample space diagrams, written specifically for AQA, Pearson, OCR across Foundation and Higher tier. Instant marking with full worked solutions on every question.

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Sample Sample space diagrams questions

A few of the 40 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 12 marksGrade 2
When a spinner is spun, it shows Blue (B), Green (G), Red (R), or White (W). When a coin is tossed, it shows Heads (H) or Tails (T). The spinner is spun and the coin is tossed. List all the possible outcomes.
Show the worked solution
There are 4 spinner outcomes and 2 coin outcomes, giving 4 × 2 = 8 total combined outcomes: M1
BH, BT, GH, GT, RH, RT, WH, WT. A1
Question 22 marksGrade 4-5
Sasha has two sets of number cards: Set A: 1, 2, 3, 4. Set B: 8, 9, 10. One card is taken at random from each set. Sasha adds the numbers on the two cards to get a total. The sample space diagram shows all 12 possible totals. (a) Use the diagram to find how many of the 12 totals are prime numbers. (b) Find the probability that the total is a prime number. Give your answer as a fraction.

What are the common mistakes in Sample space diagrams?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Leaves a probability fraction in an unsimplified form
Found $\frac{9}{36}$ but didn't simplify to $1/4$ .
Reports a raw count of outcomes instead of expressing the answer as a probability/ratio
Gave the count of favourable outcomes (9) as the answer instead of expressing it as a fraction of the total 36 outcomes.

Quick answers about Sample space diagrams

How many Sample space diagrams practice questions are there?: There are 40 self-marking GCSE Maths questions on Sample space diagrams, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Sample space diagrams?: No. You can start practising Sample space diagrams straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.