Home / iGCSE Mathematics (0580) :E1.2 Use language, notation and Venn diagrams to describe sets and represent relationships between sets. iGCSE Style Questions Paper 2

iGCSE Mathematics (0580) :E1.2 Use language, notation and Venn diagrams to describe sets and represent relationships between sets. iGCSE Style Questions Paper 2

Question

In the Venn diagram shade the region A ∪ B’

Answer/Explanation

Ans: 

Question



11 students are asked if they like rugby (R) and if they like football (F).
The Venn diagram shows the results.
(a) A student is chosen at random.
What is the probability that the student likes rugby and football?
(b) On the Venn diagram shade the region \(R’ \cap F’\).

Answer/Explanation

Ans:

(a) \(\frac{3}{11}\)
(b)

Question

(a) n(\(\xi \)) = 10, n(A) = 7, n(B) = 6, n(\(A \cup B\))’, = 1.

(i) Complete the Venn diagram by writing the number of elements in each subset.
(ii) An element of  is chosen at random.
Find the probability that this element is an element of \(A’ \cap B\).
(b) On the Venn diagram below, shade the region \(C’ \cap D’\).

Answer/Explanation

Ans:

(a) (i)

(ii) \(\frac{2}{10}\) oe

(b)

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