Free Year 9 Operations with rational numbers Practice | Skillo
Skillo provides free Year 9 NAPLAN Operations with rational numbers practice (AC9M7N06) 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 positive rational numbers including fractions, decimals and percentages to solve problems. Skillo has targeted practice questions for this exact skill, mapped to the Australian Curriculum v9.0, free and ready to go.
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What does the Year 9 NAPLAN Operations with rational numbers test cover?
- Use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems.
- 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 supermarket in Perth is running a promotion: buy 3 items and get the cheapest one free. Priya buys three items priced at $8.40, $5.60, and $3.20. How much does she pay in total?
Answer: The cheapest item ($3.20) is free, so she pays $8.40 + $5.60 = $14.00.
Question 2 — Medium
Priya is mixing a sports drink using water and cordial in the ratio 7:3. She wants to make 2.5 litres of sports drink in total. How many millilitres of cordial does she need? Justify your answer by identifying which proportion of the total mixture represents cordial.
Answer: Cordial makes up 3 parts out of a total of 10 parts (7 + 3 = 10), so the proportion of cordial is 3/10. Multiplying 3/10 by 2500 mL gives 750 mL. Option A (300 mL) incorrectly uses 2 litres instead of 2.5 litres. Option C (700 mL) calculates the water (7/10 × 2500 = 1750 mL) incorrectly applied, or confuses water proportion with cordial. Option D (175 mL) divides 2500 by 10 and then multiplies by 0.7, misapplying the ratio.
Question 3 — Hard
A wildlife sanctuary near Cairns recorded that 45% of its 360 native animals are reptiles. Of those reptiles, one third are saltwater crocodiles. How many saltwater crocodiles are at the sanctuary?
Answer: First, calculate 45% of 360: 0.45 × 360 = 162 reptiles. Then find one third of 162: 162 ÷ 3 = 54 saltwater crocodiles. Option A (162) stops after the first step, finding only the total number of reptiles. Option B (60) incorrectly calculates one third of 180 (perhaps rounding 45% to 50%). Option D (40) divides 360 by 9 (treating 45% as 1/9 of the total), which is incorrect.
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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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.
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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.