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Year 8 Maths practice questions

Five free Year 8 maths questions on the key topics of the year, with the answer and full working for each.

Name ____________________Date ______________
  1. 1.Simplify 3a + 5b − a + 2b.
    2a + 7b4a + 7b2a + 3b9ab
    Show answer
    Answer: 2a + 7b
    Collect like terms: 3a − a = 2a and 5b + 2b = 7b. So the answer is 2a + 7b.
  2. 2.Solve 3x − 4 = 11.
    Show answer
    Answer: x = 5
    Add 4 to both sides: 3x = 15. Divide both sides by 3: x = 5.
  3. 3.Share $60 in the ratio 2 : 3.
    Show answer
    Answer: $24 and $36
    There are 2 + 3 = 5 parts. One part is $60 ÷ 5 = $12. So 2 parts = $24 and 3 parts = $36.
  4. 4.A $50 jacket is 30% off. What is the sale price?
    $15$20$35$45
    Show answer
    Answer: $35
    30% of $50 is 0.3 × 50 = $15. Take it off: $50 − $15 = $35.
  5. 5.A right-angled triangle has shorter sides 6 cm and 8 cm. How long is the hypotenuse?
    10 cm12 cm14 cm100 cm
    Show answer
    Answer: 10 cm
    Pythagoras: c² = 6² + 8² = 36 + 64 = 100. So c = √100 = 10 cm.

Answers: Year 8 Maths practice questions

  1. 2a + 7b. Collect like terms: 3a − a = 2a and 5b + 2b = 7b. So the answer is 2a + 7b.
  2. x = 5. Add 4 to both sides: 3x = 15. Divide both sides by 3: x = 5.
  3. $24 and $36. There are 2 + 3 = 5 parts. One part is $60 ÷ 5 = $12. So 2 parts = $24 and 3 parts = $36.
  4. $35. 30% of $50 is 0.3 × 50 = $15. Take it off: $50 − $15 = $35.
  5. 10 cm. Pythagoras: c² = 6² + 8² = 36 + 64 = 100. So c = √100 = 10 cm.

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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.