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Year 9 NAPLAN-style practice questions
Five free questions in the style of the Year 9 NAPLAN numeracy test, with the answer and worked steps for each.
Name ____________________Date ______________
- 1.Expand 3(2x − 4).6x − 46x − 125x − 126x + 12
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Answer: 6x − 12
Multiply each term inside the brackets by 3: 3 × 2x = 6x and 3 × −4 = −12. - 2.A right-angled triangle has shorter sides of 6 cm and 8 cm. How long is the longest side?10 cm12 cm14 cm48 cm
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Answer: 10 cm
Pythagoras: c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10 cm. - 3.What is the gradient of the line through (1, 2) and (3, 8)?2361/3
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Answer: 3
Gradient = rise ÷ run = (8 − 2) ÷ (3 − 1) = 6 ÷ 2 = 3. - 4.Simplify a³ × a⁴.a⁷a¹²2a⁷a¹
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Answer: a⁷
When multiplying the same base, add the powers: 3 + 4 = 7. - 5.A $60 jacket is 25% off. What is the sale price?$15$35$45$48
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Answer: $45
25% of $60 is $15. $60 − $15 = $45.
Answers: Year 9 NAPLAN-style practice questions
- 6x − 12. Multiply each term inside the brackets by 3: 3 × 2x = 6x and 3 × −4 = −12.
- 10 cm. Pythagoras: c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10 cm.
- 3. Gradient = rise ÷ run = (8 − 2) ÷ (3 − 1) = 6 ÷ 2 = 3.
- a⁷. When multiplying the same base, add the powers: 3 + 4 = 7.
- $45. 25% of $60 is $15. $60 − $15 = $45.
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