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Year 7

Year 7 NAPLAN Maths Practice

Support the move into secondary maths with targeted Year 7 practice, worked solutions and parent-friendly next steps.

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

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Free sample questions

Try free questions with worked answers

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

A student left home at 8:35 am and returned at 4:45 pm. How long were they away from home?

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

Answer: C. 8 hours 10 minutes

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

Sample 2 Probability

The spinner has 8 equal sections. A player wins if the arrow lands on a blue section. What is the probability of winning on the next spin?

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Eight equal-sized sections. section 1: green; section 2: blue; section 3: green; section 4: orange; section 5: green; section 6: blue; section 7: red; section 8: green.Chance spinner123456781: green; 2: blue; 3: green; 4: orange5: green; 6: blue; 7: red; 8: green
Each section is equally likely. Read its label in the key.
A 1/8
B 1/2
C 1/4
D 1/3
Show worked answer

Answer: C. 1/4

There are 8 equal sections and 2 are blue. Probability = 2/8 = 1/4.

Sample 3 Perimeter

A larger shape is made from tiles with equal side lengths of 3.5 cm. The larger shape has 16 outside sides. What is its perimeter?

A 70 cm
B 56 cm
C 49 cm
D 42 cm
Show worked answer

Answer: B. 56 cm

Perimeter = number of outside sides × side length = 16 × 3.5 = 56 cm.

Sample 4 Ratios and rates

A plan increases exercise time steadily: 20 minutes, 30 minutes, 45 minutes, 67.5 minutes. Which statement is true?

A 1.5 times as long as the previous day
B 1.5 minutes longer than the previous day
C 10 minutes longer than the previous day
D 10 times as long as the previous day
Show worked answer

Answer: A. 1.5 times as long as the previous day

Each term is multiplied by 1.5 to get the next term.

Sample 5 Mean and data

The numbers are 17, 22, 17, 24, 20. What is the mean?

A 17
B 20
C 21
D 100
Show worked answer

Answer: B. 20

Add the numbers to get 100 and divide by 5. The mean is 20.

Sample 6 Angles

Two adjacent angles lie on a straight line. One is 45°. The other is labelled x. What is x, in degrees?

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A straight line and a ray form two adjacent angles. The angle on the right is 45 degrees. The other is labelled x.45°xAdjacent angles on a straight line
Show worked answer

Answer: 135

Adjacent angles on a straight line add to 180°. Therefore x = 180° − 45° = 135°.

After the free samples

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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

Adding ratio parts without checking the scaling factor.

Using total values incorrectly when calculating probability.

Forgetting square units in area answers.

Writing expressions in the wrong order from worded algebra prompts.

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 7 NAPLAN Ratios 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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