Foundation June 2018 Paper 2 Q10

OCRFoundationCurrent spec5 marksSets

10

(a) This Venn diagram shows the number of students in a Year 10 tutor group who study History (H) and Geography (G).
Venn diagram with universal set and two overlapping circles H and G. H only: 13. Both: 5. G only: 9. Nothing written outside the circles

There are 29 students in the tutor group.

(i) How many students in the tutor group do not study History or Geography? [2]
(ii) How many students in the tutor group study History? [1]
(iii) One of the 29 students is selected at random.
What is the probability that they study Geography but do not study History? [1]
(b) This diagram represents students in a tutor group who study Art (A) and Physics (P).
Venn diagram with universal set and two separate, non-overlapping circles A and P

How many students study both Art and Physics? [1]