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Year 9 Number Operations

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Year 9 Number Operations worksheet preview

Year 9 Number Operations

Mathematical operations illustration

📚 Part 1: Order of Operations & Integer Operations

1. Calculate using the correct order of operations (GEMA):

a) 15 + 3 × 2² - 8 = ____________

b) (24 ÷ 6) × 3 - 2³ = ____________

2. Complete these integer calculations:

a) -8 + 15 = ______

b) -12 - (-7) = ______

c) -4 × 6 = ______

d) 18 ÷ (-3) = ______

3. The temperature in Queenstown was -3°C at midnight. It rose 8°C by noon, then dropped 5°C by evening. What was the evening temperature?

🔢 Part 2: Fractions, Decimals & Percentages

4. Convert between fractions, decimals and percentages:

a) 0.35 = _____ % = _____ (fraction in simplest form)

b) 3/5 = _____ (decimal) = _____ %

5. Calculate these fraction operations:

a) 2/3 + 1/4 = ____________

b) 3/4 - 1/6 = ____________

6. A shirt costs $80. If there's a 25% discount, what is the sale price?
7. Sarah spent 3/8 of her pocket money on a book and 1/4 on lunch. What fraction of her money did she spend in total?

🎯 Part 3: Prime Factorisation & Problem Solving

8. Find the prime factorisation of 60 using a factor tree:
9. Find the HCF and LCM of 18 and 24:

HCF = ______

LCM = ______

10. Estimate first, then calculate:

a) 23.7 × 4.9

Estimate: ____________

Actual calculation: ____________

11. Challenge Problem: A school is organising sports teams. There are 36 Year 9 students and 48 Year 10 students. What is the largest equal-sized team that can be made using students from both year groups? How many teams will there be?

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