Chance – practice for Years 4–6

Sample questions on Chance with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject

Maths

Year

Years 4–6

Curriculum area

Relationships, functions and data

Question types: Certain, possible, impossible

Sample questions

1. Question 1 Easy

   From which bag are we most likely to draw a red marble?

   1. A)
   2. B)
   3. C)
   4. D)
   5. E)
   Show the solution

   Answer: A) picture A

   How it works: A: 3 of 6, B: 2 of 6, C: 1 of 6, D: 1 of 6, E: 1 of 6

2. Question 2 Normal

   A bag holds the marbles in the picture. We take one out without looking. Which colour are we most likely to draw?

   1. A) red
   2. B) blue
   3. C) green
   4. D) yellow
   5. E) purple
   Show the solution

   Answer: D) yellow

   How it works: There are most yellow marbles (5), so that colour has the best chance.

3. Question 3 Hard

   A bag holds the marbles in the picture. We take one out without looking. Decide whether each statement is true (YES) or not (NO).

   1. Drawing a green marble is impossible.
   2. Drawing a blue marble is more likely than a red one.
   3. More than half of the marbles are blue, so blue is more likely than any other colour.
   4. We draw a marble that is not blue That is certain.
   Show the solution

   Answer:

   1. Drawing a green marble is impossible. – yes
   2. Drawing a blue marble is more likely than a red one. – yes
   3. More than half of the marbles are blue, so blue is more likely than any other colour. – no
   4. We draw a marble that is not blue That is certain. – no

   How it works: red 4, blue 5, yellow 5; total 14

All Maths topics