Year 7 NAPLAN Numeracy: Practice Questions with Worked Solutions
Year 7 NAPLAN Numeracy is the first sat in high school, and the maths steps up: percentages, ratio, integers, early algebra and probability all appear. Below are six exam-style questions with full worked solutions.
What Year 7 Numeracy is like
- Around 48 questions, split into a non-calculator and a calculator part.
- Mostly multiple choice, with some type-in answers.
- Introduces ratio, percentages, integers, algebra and probability.
- Multi-step problems are common — set your working out clearly.
Try each question first, then open the solution.
6 practice questions
A jacket costs $80. In a sale it is reduced by 25%. What is the sale price?
- A.$20
- B.$55
- C.$60
- D.$75
Answer & worked solution
Answer: C) $60
25% of $80 = $20. Sale price = $80 − $20 = $60.
A total of $48 is shared in the ratio 3 : 5. How much is the larger share?
- A.$18
- B.$24
- C.$30
- D.$40
Answer & worked solution
Answer: C) $30
3 + 5 = 8 parts. $48 ÷ 8 = $6 per part. The larger share is 5 × $6 = $30.
At dawn the temperature is −3 °C. By midday it has risen by 8 °C. What is the temperature at midday?
- A.−11 °C
- B.−5 °C
- C.5 °C
- D.11 °C
Answer & worked solution
Answer: C) 5 °C
Start at −3 and add 8: −3 + 8 = 5 °C.
If 3x + 4 = 19, what is the value of x?
- A.3
- B.5
- C.6
- D.7
Answer & worked solution
Answer: B) 5
Subtract 4 from both sides: 3x = 15. Then divide by 3: x = 5.
The triangle above has a base of 10 cm and a height of 6 cm. What is its area?
- A.16 cm²
- B.30 cm²
- C.32 cm²
- D.60 cm²
Answer & worked solution
Answer: B) 30 cm²
Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 cm². (60 cm² forgets the ½.)
A bag holds 3 red and 5 blue marbles. One marble is drawn at random. What is the probability it is red?
- A.1/3
- B.3/8
- C.3/5
- D.5/8
Answer & worked solution
Answer: B) 3/8
There are 3 + 5 = 8 marbles in total and 3 are red, so P(red) = 3/8.
Quick exam tips
- For percentages, find 10% or 1% first, then scale — it is faster and safer.
- In ratio questions, always add the parts before dividing.
- Know when the calculator part starts — don't burn time on mental maths you can check.
Related: Year 3, Year 5 and Year 9 Numeracy questions, or the NAPLAN explained guide.
Want hundreds more like these, each explained step by step? Try PrepPath Year 7 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.