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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. 1.Expand 3(2x − 4).
    6x − 46x − 125x − 126x + 12
    Show answer
    Answer: 6x − 12
    Multiply each term inside the brackets by 3: 3 × 2x = 6x and 3 × −4 = −12.
  2. 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
    Show answer
    Answer: 10 cm
    Pythagoras: c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10 cm.
  3. 3.What is the gradient of the line through (1, 2) and (3, 8)?
    2361/3
    Show answer
    Answer: 3
    Gradient = rise ÷ run = (8 − 2) ÷ (3 − 1) = 6 ÷ 2 = 3.
  4. 4.Simplify a³ × a⁴.
    a⁷a¹²2a⁷a¹
    Show answer
    Answer: a⁷
    When multiplying the same base, add the powers: 3 + 4 = 7.
  5. 5.A $60 jacket is 25% off. What is the sale price?
    $15$35$45$48
    Show answer
    Answer: $45
    25% of $60 is $15. $60 − $15 = $45.

Answers: Year 9 NAPLAN-style practice questions

  1. 6x − 12. Multiply each term inside the brackets by 3: 3 × 2x = 6x and 3 × −4 = −12.
  2. 10 cm. Pythagoras: c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10 cm.
  3. 3. Gradient = rise ÷ run = (8 − 2) ÷ (3 − 1) = 6 ÷ 2 = 3.
  4. a⁷. When multiplying the same base, add the powers: 3 + 4 = 7.
  5. $45. 25% of $60 is $15. $60 − $15 = $45.

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StudyHop is not affiliated with or endorsed by ACARA, NESA, the NSW Department of Education or any curriculum or exam authority. Names such as NAPLAN, Selective, OC, HSC and VCE describe the style of practice only. All questions here are original StudyHop questions, not official papers.