Year 9

Year 9 NAPLAN Algebra Practice

Algebra feels calmer when each symbol has a job. Practise matching variables to quantities, substituting values and checking equations.

Start free maths check-up View membership plans

NAPLAN-style practice Worked answers Parent progress tracking

Free sample questions

Try a few worked examples first

These samples come from existing Pi Leo Academy NAPLAN-style maths content. The free check-up gives a fuller topic summary.

Sample 1 Algebra and equations

A store sold plates for $5 each and mugs for $3 each. The equation models a purchase totalling $75. Which option could be the correct numbers bought?

A 9 plates and 10 mugs

B 5 plates and 3 mugs

C 5 plates and 12 mugs

D 15 plates and 25 mugs

Show worked answer

Answer: A. 9 plates and 10 mugs

Substitute each option into the cost expression and check which totals the stated amount.

Sample 2 Elapsed time

Tammy left her house at 8:35 am and did not return until 4:45 pm. How long was she away?

A 8 hours 10 minutes

B 7 hours 50 minutes

C 4 hours 10 minutes

D 13 hours 20 minutes

Show worked answer

Answer: A. 8 hours 10 minutes

Count the time from 8:35 am to 4:45 pm. The total is 8 hours 10 minutes.

Sample 3 Fractions

Mike had 4 cups of rice. He used 1/2 cup for one recipe and 1 1/4 cups for another recipe. How many cups of rice did he have left?

A 2 1/4

B 1 1/4

C 2 1/2

D 5 3/4

Show worked answer

Answer: A. 2 1/4

Add the amounts used, then subtract from the starting amount.

Sample 4 Probability

The spinner is shown. What is the probability that the arrow will land on $?

A 0.375

B 0.125

C 0.200

D 0.600

Show worked answer

Answer: A. 0.375

There are 8 equal sections and 3 show $. Probability = 3/8 = 0.375.

Sample 5 Mean and data

What is the mean of 17, 22, 17, 24, 20?

A 20

B 19

C 21

D 100

Show worked answer

Answer: A. 20

Add the numbers and divide by 5 to get 20.

Sample 6 Ratios

Select the correct combination for the ratio 2 cups of sugar for every 3 cups of fruit.

A 1 cup of sugar, 1.5 cups of fruit

B 1/2 cup sugar, 1/3 cup fruit

C 1.5 cups sugar, 2.5 cups fruit

D 4 cups sugar, 5 cups fruit

Show worked answer

Answer: A. 1 cup of sugar, 1.5 cups of fruit

Scale both parts of the ratio by the same factor.

Common mistakes

What to watch for

Not defining what each variable represents.

Substituting the wrong value into an expression.

Forgetting order of operations when evaluating an expression.

Simple practice path

Find the gap, then practise the next topic

Use the free maths check-up to identify your child's top gaps. Then practise one recommended topic at a time with worked solutions and short review sessions.

Free maths check-up NAPLAN results plan Membership plans Free sample quizzes

Parent FAQ

Questions families ask

Is this official NAPLAN material?

No. Pi Leo Academy provides independently developed NAPLAN-style practice and is not affiliated with or endorsed by ACARA or NAPLAN.

Should my child start with timed practice?

Often it is better to find the topic gaps first, review worked solutions, then add timed practice once the skill feels familiar.

Can we try it before paying?

Yes. The free maths check-up does not require payment or a credit card.

Year 9 NAPLAN Algebra Practice

Try a few worked examples first

What to watch for

Find the gap, then practise the next topic

Questions families ask

Start with a free maths check-up

Start with a free maths check-up