Pre-Algebra Practice Test: Ratios and Proportions
- Ratios and Proportions
- 10 questions
- 14 minutes
This test covers writing ratios, unit rates, comparing prices and solving proportions. Tip: in a proportion, keep the same units in the same position on both sides.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
A class has 12 boys and 18 girls. What is the ratio of boys to girls in simplest form?
Correct answer: B
12:18, divided by 6, is 2:3. The ratio 2:5 compares boys to the whole class, not to girls.
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Question 2
Solve for x: x15 = 46
Correct answer: D
Cross-multiply: 6x = 4 × 15 = 60, so x = 10. The answer 22.5 multiplies 15 by 6/4 instead of 4/6.
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Question 3
Six pounds of apples cost $9. What is the price per pound?
Correct answer: A
Price per pound = $9 ÷ 6 = $1.50. Dividing 6 by 9 gives pounds per dollar, about 0.67.
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Question 4
Which size of the same cereal has the lowest price per ounce?
Correct answer: C
Unit prices: $4.40 ÷ 20 = $0.22, $3.00 ÷ 12 = $0.25, $3.84 ÷ 16 = $0.24 and $2.16 ÷ 8 = $0.27 per ounce. The 20 oz box is cheapest per ounce.
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Question 5
On a map, 1 inch represents 25 miles. Two towns are 3.5 inches apart on the map. What is the actual distance?
Correct answer: D
Multiply: 3.5 × 25 = 87.5 miles. Adding 3.5 and 25 gives 28.5, which is the wrong operation.
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Question 6
A car travels 150 miles in 2.5 hours. At the same speed, how far will it travel in 4 hours?
Correct answer: B
The speed is 150 ÷ 2.5 = 60 miles per hour, and 60 × 4 = 240 miles.
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Question 7
A recipe uses 3 cups of flour for every 2 cups of sugar. How many cups of sugar go with 9 cups of flour?
Correct answer: A
Flour tripled (3 → 9), so sugar triples too: 2 × 3 = 6 cups. The answer 13.5 flips the ratio.
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Question 8
Which pair of ratios forms a proportion?
Correct answer: C
Both 4/6 and 10/15 simplify to 2/3, so they are equal. In each other pair the cross products differ, for example 3 × 16 ≠ 4 × 9.
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Question 9
The ratio of red marbles to blue marbles in a bag is 3:5. The bag holds 40 marbles, all red or blue. How many are red?
Correct answer: A
There are 3 + 5 = 8 parts, so each part is 40 ÷ 8 = 5 marbles. Red is 3 parts: 3 × 5 = 15. The answer 25 is the number of blue marbles.
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Question 10
A printer prints 45 pages in 3 minutes. How many minutes does it take to print 120 pages?
Correct answer: B
The rate is 45 ÷ 3 = 15 pages per minute, so 120 ÷ 15 = 8 minutes. The answer 40 divides 120 by 3.
Questions you leave blank are not counted as wrong.
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