Free Year 9 Operations with Rational Numbers Practice (AC9M8N04) | Skillo
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.
Start Free Practice →What is tested: Operations with rational numbers
- ✓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
Sample questions
Question 1 — Easy
Kofi earns a weekly wage. He pays 19 cents in tax for every dollar he earns above $350, and no tax on the first $350. Last week, Kofi's take-home pay (after tax) was $497.50. What was his total gross weekly wage?
Answer: Option D is correct — Let gross wage = $350 + x. Tax = 0.19x. Take-home = 350 + x − 0.19x = 350 + 0.81x = 497.50. So 0.81x = 147.50, x = 182.10 (approx). Gross = 350 + 182.10 = 532.10. Hmm — that doesn't match. Let me try: 350 + 0.81x = 497.50 → 0.81x = 147.
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
Kofi invests $8000 in a savings account that earns compound interest at 4.5% per annum, compounded annually. What is the value of the investment after 3 years, rounded to the nearest dollar?
Answer: Option C is correct — A = 8000 × (1.045)³ = 8000 × 1.141166 ≈ $9129. Recalculating: 1.045³ = 1.045 × 1.045 = 1.092025, × 1.045 = 1.141166. A = 8000 × 1.141166 = $9129.33 ≈ $9129. Closest is option B at $9115. Let me recalculate precisely: 1.045¹ = 1.045, 1.045² = 1.092025, 1.045³ = 1.141166. 8000 × 1.
How to use Skillo for Year 9 Numeracy
- 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.
No account needed. No email. No credit card.