# Open numeracy practice: 30 questions

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Open numeracy practice: 30 questions — Quizverse, 2026-09-10, CC BY 4.0. AI-assisted draft; indicate your changes. License: https://creativecommons.org/licenses/by/4.0/

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## Learner questions

1. [Number operations] What is 18 + 27?

2. [Number operations] What is 64 − 29?

3. [Number operations] What is 7 × 8?

4. [Number operations] What is 84 ÷ 7?

5. [Number operations] What is 6 + 3 × 4?

6. [Fractions and decimals] What is 1/2 + 1/4, expressed as a decimal?

7. [Fractions and decimals] What is 3/4 − 1/8, expressed as a decimal?

8. [Fractions and decimals] What is 2/3 of 18?

9. [Fractions and decimals] What is 0.6 × 0.5?

10. [Fractions and decimals] What is 1.25 + 0.75?

11. [Percentages and ratios] What is 20% of 150?

12. [Percentages and ratios] An $80 item is discounted by 25%. What is the price before tax?

13. [Percentages and ratios] A class has 12 girls and 8 boys. What percentage of the 20 students are girls?

14. [Percentages and ratios] Red and blue counters are in the ratio 2:3. There are 25 counters total. How many are red?

15. [Percentages and ratios] A value increases from 40 to 50. What is the percentage increase?

16. [Introductory algebra] Solve x + 7 = 19. What is x?

17. [Introductory algebra] Solve 4x = 28. What is x?

18. [Introductory algebra] Solve 2x + 3 = 15. What is x?

19. [Introductory algebra] Evaluate 3a − 2 when a = 5.

20. [Introductory algebra] Continue the arithmetic sequence 4, 9, 14, 19. What is the next term?

21. [Measurement and geometry] A rectangle is 8 cm long and 3 cm wide. What is its perimeter?

22. [Measurement and geometry] A rectangle is 9 m long and 4 m wide. What is its area?

23. [Measurement and geometry] A triangle has base 10 cm and perpendicular height 6 cm. What is its area?

24. [Measurement and geometry] A square has perimeter 28 cm. What is the length of one side?

25. [Measurement and geometry] How many centimetres are in 2.5 metres?

26. [Data and probability] What is the arithmetic mean of 4, 6, 8 and 10?

27. [Data and probability] What is the median of 3, 9, 5, 11 and 7?

28. [Data and probability] What is the range of the values 12, 4, 15 and 9?

29. [Data and probability] A fair six-sided die has faces numbered 1 through 6. What is the probability of rolling an even number, as a decimal?

30. [Data and probability] A bag has 3 red and 7 blue counters. One counter is selected uniformly at random. What is the probability of red, as a decimal?

## Answer key and explanations

1. **45** — Add tens and ones: 10 + 20 + 8 + 7 = 45.

2. **35** — Subtract 30 to get 34, then add 1 back: 35.

3. **56** — Seven groups of eight contain 56 objects.

4. **12** — Since 7 × 12 = 84, the quotient is 12.

5. **18** — Multiply first: 3 × 4 = 12. Then 6 + 12 = 18.

6. **0.75** — Convert to quarters: 2/4 + 1/4 = 3/4 = 0.75.

7. **0.625** — Use eighths: 6/8 − 1/8 = 5/8 = 0.625.

8. **12** — Divide 18 into three equal parts of 6; take two parts: 12.

9. **0.3** — Six tenths times five tenths is thirty hundredths, or 0.3.

10. **2** — 125 hundredths plus 75 hundredths is 200 hundredths, or 2.

11. **30** — 20% is 0.20, and 0.20 × 150 = 30.

12. **60 USD** — The discount is 0.25 × 80 = $20. Subtract $20 from $80.

13. **60 %** — Divide 12 by 20 and multiply by 100: 60%.

14. **10 counters** — There are five equal ratio parts. Each is 25 ÷ 5 = 5; red has two parts.

15. **25 %** — The increase is 10; divide by the original 40, then multiply by 100.

16. **12** — Subtract 7 from both sides: x = 12.

17. **7** — Divide both sides by 4: x = 7.

18. **6** — Subtract 3 to get 2x = 12, then divide by 2.

19. **13** — Substitute 5 for a: 3 × 5 − 2 = 15 − 2 = 13.

20. **24** — An arithmetic sequence uses a constant difference. Add 5 to 19.

21. **22 cm** — Perimeter is 2 × (length + width): 2 × (8 + 3) = 22 cm.

22. **36 m²** — Area is length × width: 9 × 4 = 36 square metres.

23. **30 cm²** — Area is one half × base × perpendicular height: 0.5 × 10 × 6 = 30.

24. **7 cm** — A square has four equal sides. Divide 28 by 4 to obtain 7 cm.

25. **250 cm** — One metre equals 100 centimetres; multiply 2.5 by 100.

26. **7** — The sum is 28. Divide by the four values: 28 ÷ 4 = 7.

27. **7** — Order the values: 3, 5, 7, 9, 11. The middle value is 7.

28. **11** — Range is greatest minus least: 15 − 4 = 11.

29. **0.5** — Three of six equally likely faces are even: 2, 4 and 6. Thus 3/6 = 0.5.

30. **0.3** — There are 10 counters and 3 are red. Equal selection probability gives 3/10 = 0.3.