NAPLAN Year 5 Numeracy Practice Test PDF

Try each question first, then open the worked solution to check your answer and see how to reach it.

1. 1.A book costs $15. If you buy 3 books, how much change do you get from $50?

   • A$5
   • B$10
   • C$15
   • D$20
   Show answer and working

   Answer: A ($5)

   First find the total cost: 3 books × $15 = $45. Then find the change by subtracting from the money paid: $50 − $45 = $5. A good habit is to check by adding: $45 + $5 = $50. Students who choose $20 or $15 have usually skipped the multiplication step, so always work out the full cost first.

2. 2.What is the perimeter of a square with a side of 6 cm?

   • A12 cm
   • B18 cm
   • C24 cm
   • D30 cm
   Show answer and working

   Answer: C (24 cm)

   Perimeter is the total distance around the outside of a shape. A square has four equal sides, so add 6 cm four times or multiply: 4 × 6 = 24 cm. The answer 12 cm only counts two sides, and 36 would be the area (6 × 6), which measures the space inside rather than the distance around it.

3. 3.If a pizza is cut into 8 slices and you eat 3, what fraction of the pizza did you eat?

   • A1/8
   • B3/8
   • C5/8
   • D8/3
   Show answer and working

   Answer: B (3/8)

   A fraction compares the part to the whole. The whole pizza has 8 equal slices, so 8 is the denominator (bottom number). You ate 3 slices, so 3 is the numerator (top number). The fraction eaten is 3/8. The answer 5/8 is the fraction left over, and 8/3 has the numbers upside down.

4. 4.Which shape has 6 faces?

   • ATriangle
   • BCircle
   • CCube
   • DSphere
   Show answer and working

   Answer: C (Cube)

   A face is a flat surface on a 3D object. A cube, like a dice, has 6 square faces: top, bottom, front, back, left and right. A triangle and a circle are 2D shapes, so they have no faces at all, and a sphere has one curved surface with no flat faces. Count faces by imagining painting each flat side.

5. 5.Convert 150cm to meters.

   • A1.5m
   • B15m
   • C0.15m
   • D1500m
   Show answer and working

   Answer: A (1.5m)

   There are 100 centimetres in 1 metre, so to change centimetres to metres you divide by 100. 150 ÷ 100 = 1.5, so 150 cm = 1.5 m. That makes sense because 150 cm is one full metre (100 cm) plus half a metre (50 cm). Multiplying instead of dividing gives 15 000, so check the size is sensible.

6. 6.What is the area of a rectangle with length 5cm and width 3cm?

   • A8 cm²
   • B15 cm²
   • C16 cm²
   • D20 cm²
   Show answer and working

   Answer: B (15 cm²)

   The area of a rectangle is length × width, which counts how many square centimetres fit inside. Here 5 × 3 = 15, so the area is 15 cm². Picture 3 rows of 5 squares. The answer 8 comes from adding 5 + 3, and 16 is the perimeter (5 + 3 + 5 + 3), which measures the outside edge instead.

7. 7.What is 3/4 of 24?

   • A6
   • B12
   • C18
   • D20
   Show answer and working

   Answer: C (18)

   To find 3/4 of a number, divide by the denominator and multiply by the numerator. First find one quarter: 24 ÷ 4 = 6. Then take three of those quarters: 6 × 3 = 18. So 3/4 of 24 is 18. The answer 6 is only one quarter, and 12 is one half, so make sure you finish both steps.

8. 8.Mia buys 4 packets of stickers. Each packet holds 12 stickers. She gives away 15 stickers. How many stickers does she have left?

   • A27
   • B33
   • C37
   • D63
   Show answer and working

   Answer: B (33)

   Work in two steps. First find the total stickers: 4 packets × 12 stickers = 48. Then take away the ones given away: 48 − 15 = 33. Check by adding back: 33 + 15 = 48. The answer 63 adds the 15 instead of subtracting, so underline words like 'gives away' that tell you which operation to use.

9. 9.Which decimal is equal to 7/10?

   • A0.07
   • B0.7
   • C7.0
   • D0.17
   Show answer and working

   Answer: B (0.7)

   The fraction 7/10 means seven tenths. In a decimal, the first digit after the decimal point is the tenths place, so seven tenths is written 0.7. The decimal 0.07 is seven hundredths, which is ten times smaller, and 7.0 is seven wholes. Reading 0.7 aloud as 'seven tenths' is a quick way to check.

10. 10.A movie starts at 2:45 pm and runs for 1 hour and 35 minutes. What time does it finish?

    • A4:10 pm
    • B4:20 pm
    • C4:25 pm
    • D3:20 pm
    Show answer and working

    Answer: B (4:20 pm)

    Add the hours first: 2:45 pm plus 1 hour is 3:45 pm. Then add the 35 minutes. Adding 15 minutes takes you to 4:00 pm, and the remaining 20 minutes takes you to 4:20 pm. Splitting the minutes at the next o'clock avoids writing an impossible time like 3:80. The answer 3:20 pm forgets to add the hour.