Year 5 NAPLAN Numeracy: Practice Questions with Worked Solutions
Year 5 NAPLAN Numeracy tests whether students can apply number, measurement, geometry and data skills to multi-step problems — not just recall facts. Below are six exam-style questions with full worked solutions.
What Year 5 Numeracy is like
- Around 42 questions, split across two parts (one allows a calculator).
- Mostly multiple choice, with some type-in answers.
- Covers number & algebra, measurement & geometry, and statistics & probability.
- Rewards multi-step reasoning — read carefully and solve for what is actually asked.
Try each question first, then open the solution.
6 practice questions
A shop sells apples at 3 for $2. At the same price, how much do 12 apples cost?
- A.$6
- B.$8
- C.$18
- D.$24
Answer & worked solution
Answer: B) $8
12 ÷ 3 = 4 groups of three apples. Each group costs $2, so 4 × $2 = $8.
What is 3/4 of 60?
- A.40
- B.45
- C.48
- D.80
Answer & worked solution
Answer: B) 45
60 ÷ 4 = 15 (that is 1/4). Three quarters is 3 × 15 = 45.
The rectangle above is 8 cm long and 5 cm wide. What is its area?
- A.13 cm²
- B.26 cm²
- C.40 cm²
- D.45 cm²
Answer & worked solution
Answer: C) 40 cm²
Area = length × width = 8 × 5 = 40 cm². (26 cm is the perimeter — a common mix-up.)
What is 4.6 + 3.75?
- A.7.35
- B.8.11
- C.8.25
- D.8.35
Answer & worked solution
Answer: D) 8.35
Line up the decimal points and add: 4.60 + 3.75 = 8.35.
What fraction of this grid is shaded? Give your answer in its simplest form.
- A.1/4
- B.2/5
- C.4/10
- D.1/2
Answer & worked solution
Answer: B) 2/5
4 of the 10 squares are shaded. 4/10 simplifies to 2/5 (divide top and bottom by 2).
A cinema ticket costs $14. A family buys 4 tickets and one $9 popcorn. What is the total cost?
- A.$56
- B.$60
- C.$65
- D.$74
Answer & worked solution
Answer: C) $65
4 tickets = 4 × $14 = $56. Add the popcorn: $56 + $9 = $65.
Quick exam tips
- Read every question twice — underline what it actually asks for.
- Estimate first, so an obviously-wrong option is easy to reject.
- Check units (cm vs cm², dollars vs cents) before you commit.
Related: Year 3, Year 7 and Year 9 Numeracy questions, or the NAPLAN explained guide.
Want hundreds more like these, each explained step by step? Try PrepPath Year 5 Numeracy practice — free, with an AI Tutor for the tricky ones.
PrepPath is an independent educational platform and is not affiliated with ACARA or the NSW Department of Education. This guide is general information only — always check the official ACARA (nap.edu.au) or NSW Department of Education websites for current dates and rules.