**Helpful Links**Mark Scheme**

**Working**

a) This Venn diagram shows the number of students in a Year 10 tutor group who study History (H) and Geography (G).

There are 29 students in the tutor group.

(i) How many students in the tutor group do not study History or Geography?

(i) How many students in the tutor group do not study History or Geography?

(ii) How many students in the tutor group study History?

(iii) One of the 29 students is selected at random.

What is the probability that they study Geography but do not study History?

b) This diagram represents students in a tutor group who study Art (A) and Physics (P).

How many students study both Art and Physics?

**Question**

10)

a) This Venn diagram shows the number of students in a Year 10 tutor group who study History (H) and Geography (G).

a) This Venn diagram shows the number of students in a Year 10 tutor group who study History (H) and Geography (G).

There are 29 students in the tutor group.

(i) How many students in the tutor group do not study History or Geography?

(i) How many students in the tutor group do not study History or Geography?

**[2 marks]**

(ii) How many students in the tutor group study History?

**[1 mark]**

(iii) One of the 29 students is selected at random.

What is the probability that they study Geography but do not study History?

**[1 mark]**

b) This diagram represents students in a tutor group who study Art (A) and Physics (P).

How many students study both Art and Physics?

**[1 mark]**