Grade 6 Math Quiz
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Sample Practice Questions
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Order of Operations
Calculate: (4 + 6) × 3
Answer: 30 — Brackets first: 4 + 6 = 10, then 10 × 3 = 30.
Evaluate: 2 + 3² − 1
Answer: 10 — Exponent first: 3² = 9, then 2 + 9 − 1 = 10.
Fractions
What is 3/4 + 1/2?
Answer: 5/4 (or 1¼) — Convert 1/2 to 2/4, then 3/4 + 2/4 = 5/4.
What is 2/3 × 3/5?
Answer: 2/5 — Multiply numerators and denominators: (2×3)/(3×5) = 6/15 = 2/5.
Integers
Calculate: −8 + 5
Answer: −3 — Start at −8 and move 5 steps right on the number line.
What is −4 × −6?
Answer: 24 — Negative × Negative = Positive: 4 × 6 = 24.
Ratios & Proportions
If the ratio of boys to girls is 3:5 and there are 15 boys, how many girls are there?
Answer: 25 — 15 ÷ 3 = 5, so girls = 5 × 5 = 25.
A car travels 120 km in 2 hours. What is its speed?
Answer: 60 km/h — Speed = Distance ÷ Time = 120 ÷ 2 = 60 km/h.
Percentages & Decimals
What is 25% of 80?
Answer: 20 — 25% = 1/4, and 80 ÷ 4 = 20.
Add: 3.7 + 2.85
Answer: 6.55 — Line up the decimal points: 3.70 + 2.85 = 6.55.
Algebra
Solve for x: 3x + 5 = 20
Answer: x = 5 — Subtract 5: 3x = 15, then divide by 3: x = 5.
Evaluate 4y − 3 when y = 4
Answer: 13 — 4 × 4 = 16, then 16 − 3 = 13.
Geometry
A rectangle has length 9 cm and width 4 cm. What is its area?
Answer: 36 cm² — Area = length × width = 9 × 4 = 36 cm².
A rectangular prism has length 3, width 4, height 5. What is its volume?
Answer: 60 cubic units — Volume = l × w × h = 3 × 4 × 5 = 60.
Statistics
Find the mean of: 4, 7, 9, 12, 8
Answer: 8 — Sum = 40, then 40 ÷ 5 = 8.
Find the median of: 3, 7, 2, 9, 5
Answer: 5 — Sort the values: 2, 3, 5, 7, 9. The middle value is 5.
Probability
A bag has 3 red and 7 blue marbles. What is the probability of picking red?
Answer: 3/10 — P(red) = favourable ÷ total = 3 ÷ 10 = 3/10.
What is the probability of rolling a number less than 3 on a standard die?
Answer: 1/3 — Numbers less than 3 are {1, 2}, so 2 out of 6 = 1/3.
Word Problems
Sarah buys items totalling $14.75 and pays with $20. How much change does she get?
Answer: $5.25 — Change = $20.00 − $14.75 = $5.25.
A train travels at 60 km/h for 2.5 hours. How far does it travel?
Answer: 150 km — Distance = Speed × Time = 60 × 2.5 = 150 km.