30 children ate berries at Alex’s birthday party. 14 ate raspberries, 12 ate blackberries and 16 ate strawberries. These counts include 7 children who ate blackberries and at least one other type of berry. Alex was the only child to eat all three types of berry. How many children ate raspberries and strawberries (including Alex)?

The numbers 1 to 9 are arranged in a line (uniformly at random). What is the probability that the first number and last number are both at least 6?

[Reminder that for all quizzes in this unit you should enter probabilities as fractions (not decimals), and you must reduce them to their lowest terms. eg 3/4 but not 0.75 or 9/12.]

What is ?

There are 34 children in a class. Among them, 17 play netball, 15 play cricket and 19 play soccer. These counts include 9 children who play cricket and at least one other sport. All children play at least one sport and two children play all three sports. How many children play netball and soccer (including those who play all three sports)?

The numbers 1 to 11 are arranged in a line (uniformly at random). What is the probability that the first number and last number are both even?

[Reminder that for all quizzes in this unit you should enter probabilities as fractions (not decimals), and you must reduce them to their lowest terms. eg 3/4 but not 0.75 or 9/12.]

What is the coefficient of when is expanded?