17M.1.SL.TZ1.T_4

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Dune Canyon High School organizes its school year into three trimesters: fall/autumn ( $F$ ), winter ( $W$ ) and spring ( $S$ ). The school offers a variety of sporting activities during and outside the school year.

The activities offered by the school are summarized in the following Venn diagram.

M17/5/MATSD/SP1/ENG/TZ1/04

Write down the number of sporting activities offered by the school during its school year.

[1]

Determine whether rock-climbing is offered by the school in the fall/autumn trimester.

[1]

Write down the elements of the set $F \cap W’$ ;

[1]

c.i.

Write down $n(W \cap S)$ .

[1]

c.ii.

Write down, in terms of $F$ , $W$ and $S$ , an expression for the set which contains only archery, baseball, kayaking and surfing.

[2]

Markscheme / solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

15 (A1) (C1)

[1 mark]

no (A1) (C1)

Note: Accept “it is only offered in Winter and Spring”.

[1 mark]

volleyball, golf, cycling (A1) (C1)

Note: Responses must list all three sports for the (A1) to be awarded.

[1 mark]

c.i.

4 (A1) (C1)

[1 mark]

c.ii.

$(F \cup W \cup S)’$ $\,\,\,$ OR $\,\,\,$ $F’ \cap W' \cap S’$ (or equivalent) (A2) (C2)

[2 marks]

Examiners’ report

[N/A]

c.i.

[N/A]

c.ii.

[N/A]