Evaluate — 2 marks
A physics laboratory classifies experiments based on two criteria: experiments that require a power supply (set P) and experiments that produce measurable electromagnetic radiation (set E). A technician creates a Venn diagram to organize 12 experiments. The diagram shows: 3 experiments in P only, 2 experiments in E only, 4 experiments in both P and E, and 3 experiments in neither set.
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Evaluate whether the technician's Venn diagram correctly represents all 12 experiments. Show your working.
[1 mark]
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Using set notation, write an expression for the experiments that require a power supply but do NOT produce measurable electromagnetic radiation.
[1 mark]
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Describe — 2 marks
A physics teacher is organising a set of laboratory equipment. Some items can be used to measure length, some can be used to measure time, and some can be used for both purposes. The teacher decides to use a Venn diagram to classify the equipment.
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Describe what the overlapping region in a Venn diagram represents when classifying laboratory equipment into 'measures length' and 'measures time'.
[1 mark]
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Describe where a stopwatch would be placed in this Venn diagram and explain your answer.
[1 mark]
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State — 4 marks
The Venn diagram shows two sets, A and B, within the universal set ξ. Set A contains the even numbers from 2 to 12, and set B contains the multiples of 3 from 3 to 12. The universal set ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
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(01.1) State the elements of A ∩ B.
[2 marks]
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(01.2) State the value of n(A ∪ B).
[2 marks]
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- (01.1) 6
- (01.1) 12
- (01.2) 8
GCSE Perfect