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Year 9

Year 9 NAPLAN Maths Practice

Help your Year 9 child practise more complex NAPLAN-style maths without pressure, using worked solutions and clear topic gaps.

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The worked examples below need no account, email address or payment card.

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Free sample questions

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

Sample 1 Elapsed time

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

A 13 hours 20 minutes
B 4 hours 10 minutes
C 8 hours 10 minutes
D 7 hours 50 minutes
Show worked answer

Answer: C. 8 hours 10 minutes

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

Sample 2 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 1 1/4
B 2 1/4
C 2 1/2
D 5 3/4
Show worked answer

Answer: B. 2 1/4

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

Sample 3 Probability

The spinner has 8 equal sections. What is the probability of landing on a section labelled only with the dollar sign ($), with no number?

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Eight equal-sized sections. section 1: $; section 2: $; section 3: $; section 4: $500; section 5: $100; section 6: $500; section 7: $50; section 8: $20.Chance spinner123456781: $; 2: $; 3: $; 4: $5005: $100; 6: $500; 7: $50; 8: $20
Each section is equally likely. Read its label in the key.
A 0.600
B 0.200
C 0.375
D 0.125
Show worked answer

Answer: C. 0.375

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

Sample 4 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 5 plates and 3 mugs
B 5 plates and 12 mugs
C 9 plates and 10 mugs
D 15 plates and 25 mugs
Show worked answer

Answer: C. 9 plates and 10 mugs

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

Sample 5 Mean and data

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

A 21
B 20
C 100
D 19
Show worked answer

Answer: B. 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 4 cups sugar, 5 cups fruit
B 1 cup of sugar, 1.5 cups of fruit
C 1.5 cups sugar, 2.5 cups fruit
D 1/2 cup sugar, 1/3 cup fruit
Show worked answer

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

Scale both parts of the ratio by the same factor.

After the free samples

Keep practising with NAPLAN + Quizzes

Use topic quizzes, timed NAPLAN-style Maths papers and worked solutions to turn a tricky question into your next practice step. Parent-managed profiles keep saved practice reports together.

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Common mistakes

What to watch for

Testing algebraic equations without defining the variables.

Finding the discount but not comparing the final prices.

Using additive thinking for ratio questions that need scaling.

Skipping angle facts before calculating a missing angle.

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.

Year 9 NAPLAN Algebra Practice 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.

Next step

Start with a free maths check-up

Find your child's top maths gaps in around 15 minutes and get a simple practice plan.

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A calm next step

Find the right place to begin

Try a free topic quiz, or use the short maths check-up to identify useful practice areas.

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