BrainteenAges 14–16MathsWorksheet

Venn diagrams and set notation (GCSE-style Foundation)

Name:

Date:

Give fractions in their simplest form. Where the question uses decimals, answer with a decimal.

1.There are 21 students. A = students who like swimming, B = students who like music. Find n(A ∪ B).

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2.There are 33 students. A = students who like football, B = students who like tennis. Find P(A′ ∩ B′).

3.There are 46 students. A = students who like art, B = students who like science. Find n(A′).

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4.There are 19 students. A = students who like chess, B = students who like drama. Find P(A ∩ B).

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Give fractions in their simplest form. Where the question uses decimals, answer with a decimal.

Licence: Crayonbird original

About this activity

Quick, accurate calculation and recall of number facts, building the fluency harder maths depends on.

Made for ages 14–16. That’s Grade 9–11 in the US, Year 10–12 in England, JSS 3 – SS 2 in Nigeria and Class 9–11 in India.

Print it at home or school – it fits a standard A4 or US Letter page.
Print the answer key too, so marking takes seconds.
Play it on screen: answers are marked instantly and children earn stars.
Write on it on a tablet or touchscreen with a finger or stylus – no printer needed.

Time one try, then beat it a few days later – children love racing their own best rather than others.
Pair an easier sheet with a harder one in the same session so practice always ends on a success.
Use a fresh printed copy as a short timed test before an exam to practise working under pressure.

Time needed: About 15–25 minutes
You’ll need: A printer (or a tablet to work on screen), a pencil and an eraser
Difficulty: Harder (GCSE-style Foundation) – pitched at ages 14–16
Answer key: Yes – print it with the sheet or on its own

United States

England (UK)

Nigeria

India