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Numeracy Intermediate November 2024 Unit 2 Q3

WJECIntermediateCurrent spec5 marksSets

3. A music teacher asked all Year 7 students to choose which musical instruments they would like to be able to play.
They could choose from three instruments: guitar, drums and violin.
The students could choose as many of these instruments as they wished.

The Venn diagram shows the results.

Venn diagram with universal set ε and three overlapping circles Guitar, Violin and Drums. Guitar only 25, Violin only 15, Drums only 10, Guitar and Violin only 8, Guitar and Drums only 7, Violin and Drums only 2, all three 4, outside the circles 20
(a) How many students did not choose an instrument? [1]

…………… students

(b) How many students chose all 3 instruments? [1]

…………… students

(c) How many Year 7 students were there? [1]

…………… students

(d) How many students chose 2 or more instruments? [1]

…………… students

(e) Which was the least popular instrument?
How many students chose this instrument? [1]

Least popular instrument ……………
Number of students ……………

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