Show your working and then explain your answer

1.

2.

3.

4.

Show your working and
then explain your
answer.

5.

Show your working and
then explain your
answer.
1
5
3
4

6.

The following is a linear sequence:
Calculate the missing terms in the sequence.

7.

The following is a linear sequence:
Calculate the missing terms in the sequence.

8.

Simplify the following:

9.

Simplify the following:

10.

11.

12.

Which of these spinners have equally likely outcomes?
B
C
D
Which spinners have an equal chance of landing on any of the
colours?
What’s the probability of landing on red when using
Spinner B?
Spinner C?

13.

Which of these spinners have equally likely outcomes?
If the sectors are equal in area, all of them
B
C
D
Which spinners have an equal chance of landing on any of the
colours?
A and B
What’s the probability of landing on red when using
Spinner B?
Spinner C?

14.

Tickets with the numbers 1 to 9 are put into a bag. One ticket is
randomly selected from the bag.
Write down the probability that the number on the ticket is even.
Decide if the probability of selecting an even number
A: Stays the same
B: Increases
C: Decreases
when,
5 more even and 4 more odd numbers are added to the bag
8 more even and 10 more odd numbers are added to the bag
1 odd and 1 even number are removed from the bag
Justify your answers.

15.

Tickets with the numbers 1 to 9 are put into a bag. One ticket is
randomly selected from the bag.
Write down the probability that the number on the ticket is even.
Decide if the probability of selecting an even number
A: Stays the same
B: Increases
C: Decreases
when,
5 more even and 4 more odd numbers are added to the bag
B
8 more even and 10 more odd numbers are added to the bag
A
1 odd and 1 even number are removed from the bag
Justify your answers.
C

16.

Only one of these statements is true.
Which one is it? Explain why the other statements are false
It’s a million percent certain
that I’ll sleep this week.
In a bag, there are only
red, blue and yellow
marbles. The probability of
getting a red is 0.15, a blue
is 0.45, and a yellow is 0.35

17.

Only one of these statements is true.
Which one is it? Explain why the other statements are false
It’s a million percent certain
that I’ll sleep this week.
False, probabilities cannot be
greater than 1 (100%)
In a bag, there are only
red, blue and yellow
marbles. The probability of
getting a red is 0.15, a blue
is 0.45, and a yellow is 0.35

18.

A large number of people are asked their favourite of five sports.
The table shows the probabilities that certain sports are picked.
Given that it is twice as likely that someone chose hockey rather
than running, complete the table.
Sport
Probability
Netball Swimming Running
0.3
0.05
Football
0.35
Hockey

19.

A large number of people are asked their favourite of five sports.
The table shows the probabilities that certain sports are picked.
Given that it is twice as likely that someone chose hockey rather
than running, complete the table.
Sport
Probability
Netball Swimming Running
0.3
0.05
0.2
Football
Hockey
0.35
0.1

20.

21.

22.

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