NAPLAN Year 9 Practice · Numeracy

Number, Algebra, Measurement and Data

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

Practise Number, Algebra, Measurement and Data now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 135 questions

  1. What is 15% of 240?
  2. Solve .
  3. A triangle has a base of 12 cm and a perpendicular height of 7 cm. What is its area?
  4. What is ?
  5. Which of these numbers is the largest?
  6. A train trip lasts 2.5 hours. How many minutes is that?
  7. Round 4.578 to one decimal place.
  8. Simplify the ratio 18 : 24.
  9. Evaluate .
  10. Two people share 480 dollars in the ratio 3 : 5. How much does the person with the larger share receive?
  11. A right-angled triangle has two shorter sides of 9 cm and 12 cm. How long is the hypotenuse?
  12. The numbers 6, 8, 8, 10, 18 are given. What is the mean minus the median?
  13. A bag has 5 red, 7 blue and 8 green counters. One is drawn at random. What is the probability it is not blue?
  14. A tank measures 50 cm by 40 cm by 30 cm. How many litres can it hold? (1 litre = 1000 cm³)
  15. Expand and simplify .
  16. What is the gradient of the line through (1, 2) and (5, 10)?
  17. A map has the scale 1 : 50 000. Two towns are 3.2 cm apart on the map. What is the real distance?
  18. What is the sum of the interior angles of a hexagon?
  19. Simplify .
  20. Which is 0.00042 written in scientific notation?
  21. What is the median of 3, 9, 4, 12, 7, 5?
  22. After a 35% discount a coat costs 52 dollars. What was the original price?
  23. A car travels 150 km in 2 hours 30 minutes. What is its average speed?
  24. Where does the line cross the y-axis?
  25. A fair coin is tossed twice. What is the probability of getting at least one head?
  26. Five workers finish a job in 12 days. At the same rate, how long would 8 workers take?
  27. The perimeter of a square with area 49 cm² is:
  28. A jacket costing 150 dollars is increased by 20%, then reduced by 20%. What is the final price?
  29. A cyclist rides 60 km at 90 km/h, then another 60 km at 60 km/h. What is the average speed for the whole 120 km?
  30. Solve .
  31. A rectangle's length is 3 cm more than its width, and its area is 70 cm². What is its perimeter?
  32. A circle has circumference 31.4 cm. Using , what is its area?
  33. Two adults and three children cost 64 dollars. One adult and two children cost 38 dollars. What do one adult and one child cost together?
  34. A town of 8000 people grows by 5% each year for two years. What is the population after the second year?
  35. The mean mark of 12 students is 70. A 13th student scores 83. What is the new mean?
  36. The sum of two numbers is 13 and their difference is 7. What is the larger number?
  37. Solve . What is ?
  38. A cyclist rides to a village at 30 km/h and returns by the same road at 45 km/h. What is the average speed for the whole trip?
  39. What is the total surface area of a cuboid measuring 2 cm by 5 cm by 4 cm?
  40. A rectangular screen is 15 cm wide and 20 cm high. What is the length of its diagonal?
  41. After a discount of 10% a bike costs 216 dollars. What was the price before the discount?
  42. The base of a prism is a right triangle with legs of 4 cm and 6 cm, and the prism is 10 cm high. What is its volume?
  43. Solve the equation . What is ?
  44. Solve . What is ?
  45. What is 5% of 360?
  46. A jacket costs 400 dollars. During a sale the price is reduced by 20%. What is the new price?
  47. In a class of 200 students, 12 come to school by bike. What percentage of the class is that?
  48. Anna and Piotr share 63 stickers in the ratio . How many stickers does Anna get?
  49. A bus travels at an average speed of 90 km/h for 2 hours. How far does it travel?
  50. A rectangle has sides of 13 cm and 8 cm. What is its area?
  51. A triangle has a base of 9 cm and a height of 14 cm. What is its area?
  52. A right triangle has legs of 6 cm and 8 cm. How long is the hypotenuse?
  53. What is the circumference of a circle with radius 6 cm?
  54. A cuboid is 5 cm long, 3 cm wide and 3 cm high. What is its volume?
  55. Two angles of a triangle measure 33° and 64°. What is the third angle?
  56. What is the sum of the interior angles of a polygon with 8 sides?
  57. What is the mean of the numbers 3, 20, 15, 5, 12?
  58. What is the median of 29, 13, 8, 31, 24?
  59. A bag has 7 red, 2 blue and 4 green balls. One ball is drawn at random. What is the probability that it is red?
  60. Which expression equals ?
  61. What is ?
  62. Convert 0.75 km to metres.
  63. What is the value of when ?
  64. Marta is 11 years old. Her mother is 3 times as old as Marta. How old will Marta's mother be in 4 years?
  65. A phone costs 400 dollars. The shop raises the price by 10% and later lowers the new price by 30%. What is the final price?
  66. The sum of two numbers is 12 and their difference is 8. What is the larger number?
  67. Solve . What is ?
  68. A cyclist rides to a village at 40 km/h and returns by the same road at 60 km/h. What is the average speed for the whole trip?
  69. What is the total surface area of a cuboid measuring 8 cm by 4 cm by 3 cm?
  70. A rectangular screen is 16 cm wide and 30 cm high. What is the length of its diagonal?
  71. After a discount of 25% a bike costs 375 dollars. What was the price before the discount?
  72. The base of a prism is a right triangle with legs of 6 cm and 8 cm, and the prism is 12 cm high. What is its volume?
  73. Solve the equation . What is ?
  74. Solve . What is ?
  75. What is 30% of 160?
  76. A jacket costs 250 dollars. During a sale the price is reduced by 20%. What is the new price?
  77. In a class of 150 students, 18 come to school by bike. What percentage of the class is that?
  78. A bus travels at an average speed of 72 km/h for 0.5 hours. How far does it travel?
  79. A train covers 120 km at a constant speed of 40 km/h. How long does the journey take?
  80. A rectangle has sides of 6 cm and 4 cm. What is its area?
  81. A right triangle has legs of 7 cm and 24 cm. How long is the hypotenuse?
  82. A cuboid is 4 cm long, 6 cm wide and 4 cm high. What is its volume?
  83. Two angles of a triangle measure 35° and 68°. What is the third angle?
  84. What is the sum of the interior angles of a polygon with 12 sides?
  85. What is the mean of the numbers 7, 14, 6, 9?
  86. What is the median of 33, 6, 29, 19, 16?
  87. A bag has 5 red, 5 blue and 6 green balls. One ball is drawn at random. What is the probability that it is red?
  88. What is ?
  89. Convert 3.2 km to metres.
  90. What is the value of when ?
  91. Marta is 8 years old. Her mother is 4 times as old as Marta. How old will Marta's mother be in 4 years?
  92. A phone costs 200 dollars. The shop raises the price by 10% and later lowers the new price by 30%. What is the final price?
  93. The sum of two numbers is 12 and their difference is 4. What is the larger number?
  94. Solve . What is ?
  95. What is the total surface area of a cuboid measuring 4 cm by 3 cm by 6 cm?
  96. After a discount of 20% a bike costs 320 dollars. What was the price before the discount?
  97. The base of a prism is a right triangle with legs of 5 cm and 12 cm, and the prism is 9 cm high. What is its volume?
  98. Solve the equation . What is ?
  99. Solve . What is ?
  100. What is 60% of 120?

Keep practising

More NAPLAN Year 9 Practice topics

All NAPLAN Year 9 Practice practice →

Ready for the full NAPLAN Year 9 Practice test?

Take a mock testNAPLAN Year 9 Practice hub