Sets

35 min readNo calculator

Original questions written at exam standard. Work each one before you open the solution.

Difficulty

Question 1 Foundation

U = \{1, 2, 3, \ldots, 10\}

and

A = \{2, 4, 6, 8, 10\}

. List

A'

Question 2 Foundation

A = \{1,2,3,4\}

and

B = \{3,4,5\}

. List

A \cap B

Question 3 Standard

A = \{1,2,3,4\}

and

B = \{3,4,5\}

. List

A \cup B

and state

n(A \cup B)

Question 4 Standard

In a class of 40, 25 study French, 18 study Spanish and 8 study both. How many study at least one language?

Question 5 Stretch

In that same class, how many study French only?

Question 6 Stretch

Of 50 people, 30 like tea, 25 like coffee and 5 like neither. How many like both?