Open numeracy practice: 30 questions
Practice number operations, fractions, percentages, algebra, geometry and data. This is an AI-assisted original draft. All 30 numeric keys pass automated arithmetic checks; educator review, pedagogical accuracy and ambiguity review remain pending.
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Questions and explanations
Number operations · Question 1
What is 18 + 27?
Answer and explanation for question 1
45 — Add tens and ones: 10 + 20 + 8 + 7 = 45.
Number operations · Question 2
What is 64 − 29?
Answer and explanation for question 2
35 — Subtract 30 to get 34, then add 1 back: 35.
Number operations · Question 3
What is 7 × 8?
Answer and explanation for question 3
56 — Seven groups of eight contain 56 objects.
Number operations · Question 4
What is 84 ÷ 7?
Answer and explanation for question 4
12 — Since 7 × 12 = 84, the quotient is 12.
Number operations · Question 5
What is 6 + 3 × 4?
Answer and explanation for question 5
18 — Multiply first: 3 × 4 = 12. Then 6 + 12 = 18.
Fractions and decimals · Question 6
What is 1/2 + 1/4, expressed as a decimal?
Answer and explanation for question 6
0.75 — Convert to quarters: 2/4 + 1/4 = 3/4 = 0.75.
Fractions and decimals · Question 7
What is 3/4 − 1/8, expressed as a decimal?
Answer and explanation for question 7
0.625 — Use eighths: 6/8 − 1/8 = 5/8 = 0.625.
Fractions and decimals · Question 8
What is 2/3 of 18?
Answer and explanation for question 8
12 — Divide 18 into three equal parts of 6; take two parts: 12.
Fractions and decimals · Question 9
What is 0.6 × 0.5?
Answer and explanation for question 9
0.3 — Six tenths times five tenths is thirty hundredths, or 0.3.
Fractions and decimals · Question 10
What is 1.25 + 0.75?
Answer and explanation for question 10
2 — 125 hundredths plus 75 hundredths is 200 hundredths, or 2.
Percentages and ratios · Question 11
What is 20% of 150?
Answer and explanation for question 11
30 — 20% is 0.20, and 0.20 × 150 = 30.
Percentages and ratios · Question 12
An $80 item is discounted by 25%. What is the price before tax?
Answer and explanation for question 12
60 USD — The discount is 0.25 × 80 = $20. Subtract $20 from $80.
Percentages and ratios · Question 13
A class has 12 girls and 8 boys. What percentage of the 20 students are girls?
Answer and explanation for question 13
60 % — Divide 12 by 20 and multiply by 100: 60%.
Percentages and ratios · Question 14
Red and blue counters are in the ratio 2:3. There are 25 counters total. How many are red?
Answer and explanation for question 14
10 counters — There are five equal ratio parts. Each is 25 ÷ 5 = 5; red has two parts.
Percentages and ratios · Question 15
A value increases from 40 to 50. What is the percentage increase?
Answer and explanation for question 15
25 % — The increase is 10; divide by the original 40, then multiply by 100.
Introductory algebra · Question 16
Solve x + 7 = 19. What is x?
Answer and explanation for question 16
12 — Subtract 7 from both sides: x = 12.
Introductory algebra · Question 17
Solve 4x = 28. What is x?
Answer and explanation for question 17
7 — Divide both sides by 4: x = 7.
Introductory algebra · Question 18
Solve 2x + 3 = 15. What is x?
Answer and explanation for question 18
6 — Subtract 3 to get 2x = 12, then divide by 2.
Introductory algebra · Question 19
Evaluate 3a − 2 when a = 5.
Answer and explanation for question 19
13 — Substitute 5 for a: 3 × 5 − 2 = 15 − 2 = 13.
Introductory algebra · Question 20
Continue the arithmetic sequence 4, 9, 14, 19. What is the next term?
Answer and explanation for question 20
24 — An arithmetic sequence uses a constant difference. Add 5 to 19.
Measurement and geometry · Question 21
A rectangle is 8 cm long and 3 cm wide. What is its perimeter?
Answer and explanation for question 21
22 cm — Perimeter is 2 × (length + width): 2 × (8 + 3) = 22 cm.
Measurement and geometry · Question 22
A rectangle is 9 m long and 4 m wide. What is its area?
Answer and explanation for question 22
36 m² — Area is length × width: 9 × 4 = 36 square metres.
Measurement and geometry · Question 23
A triangle has base 10 cm and perpendicular height 6 cm. What is its area?
Answer and explanation for question 23
30 cm² — Area is one half × base × perpendicular height: 0.5 × 10 × 6 = 30.
Measurement and geometry · Question 24
A square has perimeter 28 cm. What is the length of one side?
Answer and explanation for question 24
7 cm — A square has four equal sides. Divide 28 by 4 to obtain 7 cm.
Measurement and geometry · Question 25
How many centimetres are in 2.5 metres?
Answer and explanation for question 25
250 cm — One metre equals 100 centimetres; multiply 2.5 by 100.
Data and probability · Question 26
What is the arithmetic mean of 4, 6, 8 and 10?
Answer and explanation for question 26
7 — The sum is 28. Divide by the four values: 28 ÷ 4 = 7.
Data and probability · Question 27
What is the median of 3, 9, 5, 11 and 7?
Answer and explanation for question 27
7 — Order the values: 3, 5, 7, 9, 11. The middle value is 7.
Data and probability · Question 28
What is the range of the values 12, 4, 15 and 9?
Answer and explanation for question 28
11 — Range is greatest minus least: 15 − 4 = 11.
Data and probability · Question 29
A fair six-sided die has faces numbered 1 through 6. What is the probability of rolling an even number, as a decimal?
Answer and explanation for question 29
0.5 — Three of six equally likely faces are even: 2, 4 and 6. Thus 3/6 = 0.5.
Data and probability · Question 30
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 and explanation for question 30
0.3 — There are 10 counters and 3 are red. Equal selection probability gives 3/10 = 0.3.
What is verified?
30 numeric keys were checked; zero numeric mismatches were found. No educator has reviewed this pack. Educator error and ambiguity counts are unavailable. No real learner outcome or generated-tool benchmark is claimed.
Download the educator and product-benchmark review protocolOpen numeracy practice: 30 questions — Quizverse, 2026-09-10, CC BY 4.0. AI-assisted draft; indicate your changes.