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Free Year 9 NAPLAN-style numeracy practice test

30 questions in 65 minutes, for Year 9. Free, with no sign-up.

Thirty maths questions on a sixty-five-minute clock, the time the real Year 9 numeracy test takes. Your child picks an answer for each. Then you see the marks, what the paper found and the skills to look at first.

The real test
The real Year 9 NAPLAN numeracy test takes 65 minutes, as nap.edu.au states, and this paper has the same clock. It has 30 questions, the number Learnest chose: the real test is tailored online, so the questions change with a child's answers. The questions here are Learnest's own, in the style of the test, and never from a past paper. ACARA's free public demonstration site on nap.edu.au shows the real format.
What it covers
  • Number and algebra 13 questions
  • Data and chance 5 questions
  • Measurement 5 questions
  • Problem solving 3 questions
  • Geometry 4 questions
What it leaves out
This paper is not tailored: every child gets the same questions, and all of them are multiple choice. There is no writing and no reading paper here. The real Year 9 test has a short section with no calculator, then an online calculator for the rest. This paper has no calculator section, so sit all of it with no calculator.
How to sit it
A quiet table, a pencil and spare paper for working, and no calculator. Press Start the clock below, or set a timer for 65 minutes. Your child picks one answer for each question.
Sitting it again
The questions are the same every time, so your child can sit this paper again. Leave a few weeks first, so the second try shows what they can do rather than what they remember.

Learnest marks the answers and keeps none of them. There is nothing to sign up for and no email to give.

Prefer paper? Print the paper, with the answers on the last page.

  1. Question 1 of 30

    A bike is sold for a $90 deposit and 10 weekly payments of $32. What is the total cost?

  2. Question 2 of 30

    The longer a kettle is switched on, the hotter its water gets. Which statement is best?

  3. Question 3 of 30

    A ship on a bearing of 075°T turns 40° clockwise. What is its new true bearing?

  4. Question 4 of 30

    A quarter of the juice in jug A is poured into jug B. Then a third of what B holds is poured into A. Each jug now holds 360 mL. How many millilitres were in A at first?

  5. Question 5 of 30

    Which interval has a negative gradient?

  6. Question 6 of 30

    A line passes through (1, 4) and (4, 13). What is y when x = 6?

  7. Question 7 of 30

    Two exterior angles of a triangle, at different vertices, are 112 degrees and 141 degrees. What is the interior angle at the third vertex, in degrees?

  8. Question 8 of 30

    A garden bed is 3 1⁄3 metres long and 1 4⁄5 metres wide. What is its area, in square metres?

  9. Question 9 of 30

    Simplify x/5 + 2x/5.

  10. Question 10 of 30

    The mean of eight numbers is 15. One number is removed, and the mean of the other seven is 14. Which number was removed?

  11. Question 11 of 30
    a = 16b = ?c = 20

    A rectangular tile is cut along a diagonal into two right-angled triangles. Each has a hypotenuse of 20 centimetres and one shorter side of 16 centimetres. What is the area of the whole tile in square centimetres?

  12. Question 12 of 30
    100°xx2x

    A quadrilateral has one angle of 100 degrees. The other three are x, x and 2x. What is x?

  13. Question 13 of 30

    A spinner has 10 equal sections numbered 1 to 10. What is the probability of not landing on a prime number?

  14. Question 14 of 30

    Add 62 and 82, then find the square root of the total.

  15. Question 15 of 30

    Which parabola has its vertex on the x-axis?

  16. Question 16 of 30

    Plates come in packs of 6 and cups in packs of 15. Ruby buys the smallest number of each so there are exactly as many plates as cups. How many packs does Ruby buy altogether?

  17. Question 17 of 30

    A plan has a scale of 1:200. A room is 5 cm long on the plan. How long is the real room?

  18. Question 18 of 30

    What is the exact distance between (1, 2) and (5, 7)?

  19. Question 19 of 30
    Score14191220?

    The mean of five scores is 16. Four of them are 14, 19, 12 and 20. What is the fifth score?

  20. Question 20 of 30

    Which is 0.0061 written in scientific notation?

  21. Question 21 of 30

    A committee of 2 boys and 2 girls is chosen from 5 boys and 4 girls. How many different committees are possible?

  22. Question 22 of 30
    GroupMinimumQ1MedianQ3MaximumX1012141618Y1011121525Z212161718

    The table gives the five-number summaries of three groups. Which group's data are positively skewed?

  23. Question 23 of 30

    Solve 3(2x - 1) = 2x + 6.

  24. Question 24 of 30

    Which triangle is similar to a triangle with sides of 3 cm, 4 cm and 5 cm?

  25. Question 25 of 30

    $2000 is invested at 5% per year, compounded yearly, for 3 years. Use 1.053 = 1.157625. How much interest is earned?

  26. Question 26 of 30

    Weekly tax is $120 on pay of $800 and rises by 30c for each extra $1 of pay. Hana's pay this week is $950. How much tax is withheld?

  27. Question 27 of 30

    A card is drawn from three cards numbered 1, 2 and 3, and a coin is tossed. What is the probability of an odd number and a head?

  28. Question 28 of 30

    A closed cylinder has a radius of 4 cm and a height of 7 cm. What is its surface area, in cm2, in terms of π?

  29. Question 29 of 30

    How are the lines 2y = 4x + 1 and y = -(1⁄2)x + 3 related?

  30. Question 30 of 30

    A right-angled triangle has an angle of 52°. The side opposite it is 14 cm and the side adjacent to it is x cm. Which calculation finds x?

Leave a question blank if your child does not know. It shows as not answered.

Learnest is not affiliated with ACARA, NESA, the NSW Department of Education or the Australian Maths Trust. Every question in this paper is Learnest's own, written for practice. None comes from a past paper.