NAPLAN Year 9 Practice · Numeracy

Number, Algebra, Measurement and Data

135 practice questions, each with the answer and an explanation.

All 135 questions

  1. In a class of 200 students, 18 come to school by bike. What percentage of the class is that?
  2. Anna and Piotr share 84 stickers in the ratio . How many stickers does Anna get?
  3. A bus travels at an average speed of 90 km/h for 3 hours. How far does it travel?
  4. A train covers 120 km at a constant speed of 30 km/h. How long does the journey take?
  5. A rectangle has sides of 13 cm and 9 cm. What is its area?
  6. A triangle has a base of 20 cm and a height of 10 cm. What is its area?
  7. A right triangle has legs of 8 cm and 15 cm. How long is the hypotenuse?
  8. What is the circumference of a circle with radius 5 cm?
  9. A cuboid is 9 cm long, 3 cm wide and 4 cm high. What is its volume?
  10. Two angles of a triangle measure 71° and 67°. What is the third angle?
  11. What is the sum of the interior angles of a polygon with 5 sides?
  12. What is the mean of the numbers 17, 7, 19, 4, 13?
  13. What is the median of 37, 36, 35, 3, 19?
  14. A bag has 3 red, 5 blue and 3 green balls. One ball is drawn at random. What is the probability that it is red?
  15. Convert 1.2 km to metres.
  16. What is the value of when ?
  17. Marta is 14 years old. Her mother is 3 times as old as Marta. How old will Marta's mother be in 5 years?
  18. A phone costs 800 dollars. The shop raises the price by 10% and later lowers the new price by 25%. What is the final price?
  19. The sum of two numbers is 8 and their difference is 2. What is the larger number?
  20. Solve . What is ?
  21. A cyclist rides to a village at 50 km/h and returns by the same road at 75 km/h. What is the average speed for the whole trip?
  22. What is the total surface area of a cuboid measuring 6 cm by 6 cm by 6 cm?
  23. After a discount of 20% a bike costs 160 dollars. What was the price before the discount?
  24. The base of a prism is a right triangle with legs of 6 cm and 8 cm, and the prism is 5 cm high. What is its volume?
  25. Solve the equation . What is ?
  26. What is 75% of 360?
  27. A jacket costs 250 dollars. During a sale the price is reduced by 25%. What is the new price?
  28. In a class of 150 students, 15 come to school by bike. What percentage of the class is that?
  29. Anna and Piotr share 90 stickers in the ratio . How many stickers does Anna get?
  30. A bus travels at an average speed of 40 km/h for 1.5 hours. How far does it travel?
  31. A train covers 60 km at a constant speed of 60 km/h. How long does the journey take?
  32. A rectangle has sides of 9 cm and 8 cm. What is its area?
  33. A triangle has a base of 9 cm and a height of 6 cm. What is its area?
  34. What is the circumference of a circle with radius 3 cm?
  35. A cuboid is 3 cm long, 8 cm wide and 3 cm high. What is its volume?

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