Free Year 9 Operations with Rational Numbers Practice (AC9M8N04) | Skillo
Skillo provides free Year 9 NAPLAN Operations with rational numbers practice (AC9M8N04) for Australian students. No signup, no email, no credit card. Practice questions aligned with the ACARA Australian Curriculum v9.0 strand. Open and start in 10 seconds.
Year 9 students sitting their final NAPLAN need to be confident with operations with rational numbers. Use the 4 operations with integers and with rational numbers, choosing and using efficient strategies. Skillo has targeted practice questions for this exact skill, mapped to the Australian Curriculum v9.0, free and ready to go.
No account needed. No email. No credit card.
What does the Year 9 NAPLAN Operations with rational numbers test cover?
- Use the 4 operations with integers and with rational numbers, choosing and using efficient strategies.
- Questions may include word problems set in real Australian contexts
- Both calculator and non-calculator question types are covered
Try a sample Operations with rational numbers question
Question 1 — Easy
A recipe requires 2.5 cups of flour for every 12 biscuits. How many cups of flour are needed to make 36 biscuits?
Answer: 36 biscuits = 3 × 12 biscuits. Cups of flour = 3 × 2.5 = 7.5 cups.
Question 2 — Medium
A swimming pool in Brisbane is 50 metres long and 25 metres wide. Tiles are being laid around the outside border of the pool, forming a path exactly 1.5 metres wide. What is the area of the tiled path in square metres?
Answer: The outer rectangle is (50+3) × (25+3) = 53 × 28 = 1484 m². The pool area is 50 × 25 = 1250 m². The path area is 1484 − 1250 = 234 m².
Question 3 — Hard
A survey of 240 households in a Western Australian town found that 35% have solar panels installed. Of those with solar panels, 60% also have a battery storage system. How many households have both solar panels AND a battery storage system?
Answer: Households with solar panels = 240 × 0.35 = 84. Households with both = 84 × 0.60 = 50.4 ≈ 50. Wait: 84 × 0.60 = 50.4. The answer is 50, so B. Let me recalculate: 240 × 0.35 = 84; 84 × 0.60 = 50.4 — this rounds to 50. Correct answer is B.
How should my child prepare for Year 9 NAPLAN Operations with rational numbers?
- Select Year 9 and Numeracy on the home screen
- Use Quick Practice — questions on operations with rational numbers will appear as part of the session
- Check the Skill Breakdown on your profile to track your accuracy on operations with rational numbers specifically
- Review explanations after each question to understand the reasoning behind correct answers
Skillo is free, requires no email or account details, and is built specifically for Australian students. Every question is mapped to the Australian Curriculum v9.0 and filtered by skill so your child practises exactly what they need.
Common questions about NAPLAN Operations with rational numbers
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Is Skillo really free?
Yes. Skillo is completely free for all Australian students — no subscription, no credit card, no hidden paywall. No free trial that converts to paid.
Does my child need an account?
No. Skillo doesn't require an account to practise. Open any page and start immediately — no email, no registration.
Does Skillo collect any personal information?
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Is Skillo affiliated with NAPLAN?
Skillo's NAPLAN-style practice is authored independently. NAPLAN® is a registered trademark of ACARA. Skillo is not affiliated with, endorsed by, or sponsored by ACARA.
No account needed. No email. No credit card.
About this practice
Skillo's NAPLAN-style practice is authored independently. NAPLAN® is a registered trademark of ACARA. Skillo is not affiliated with, endorsed by, or sponsored by ACARA.