Grade 6 Math Practice Test: Ratios, Rates and Percents
- Ratios, Rates and Percents
- 12 questions
- 15 minutes
This test covers ratio language, equivalent ratios, ratio tables, unit rates, unit conversions and percents. Tip: a unit rate tells you how much for one, so divide by the quantity you want "per".
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 girls and 15 boys. What is the ratio of girls to boys in simplest form?
Correct answer: A
Girls to boys is 12:15. Divide both numbers by 3 to get 4:5. 5:4 lists the boys first, and 12:27 and 4:9 compare the girls to the whole class.
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Question 2
A paint color is made with 3 parts blue for every 5 parts white. How many parts of white are needed for 12 parts of blue?
Correct answer: C
Blue went from 3 to 12, which is 4 times as much, so white must also be 4 times as much: 5 × 4 = 20. 14 adds 9 to both parts, but equivalent ratios come from multiplying, not adding.
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Question 3
Ella reads at a constant rate. The table shows how many pages she reads.
Hours 2 5 ? Pages 18 45 72 How many hours does it take her to read 72 pages?
Correct answer: B
Ella reads 18 ÷ 2 = 9 pages per hour, so 72 pages take 72 ÷ 9 = 8 hours. 9 is the unit rate (pages per hour), not the number of hours.
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Question 4
A 12-pack of juice boxes costs $4.80. What is the price of one juice box?
Correct answer: D
Unit price = total cost ÷ number of items: $4.80 ÷ 12 = $0.40. $2.50 comes from dividing 12 by 4.80, which gives boxes per dollar instead of dollars per box.
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Question 5
A store sells rice in four bag sizes. Which bag has the lowest price per pound?
Correct answer: B
Find each unit price: $5.40 ÷ 3 = $1.80, $8.50 ÷ 5 = $1.70, $3.80 ÷ 2 = $1.90 and $7.40 ÷ 4 = $1.85 per pound. The 5-pound bag costs the least per pound, even though its total price is the highest.
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Question 6
A cyclist rides 45 miles in 3 hours at a constant speed. At this rate, how far will she ride in 5 hours?
Correct answer: D
Her unit rate is 45 ÷ 3 = 15 miles per hour, so in 5 hours she rides 15 × 5 = 75 miles. 15 miles is the distance for only one hour.
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Question 7
What is 30% of 80?
Correct answer: C
30% means 30 per 100, or 0.3, and 0.3 × 80 = 24. 50 subtracts 30 from 80, which treats the percent as a number of items.
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Question 8
In a survey of 50 students, 18 said summer is their favorite season. What percent of the students chose summer?
Correct answer: A
18 out of 50 is the same as 36 out of 100 (multiply both numbers by 2), so 36%. 64% is the percent of students who did not choose summer.
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Question 9
Leo has read 45 pages of a book. That is 25% of the book. How many pages does the book have?
Correct answer: D
25% is one fourth, so the whole book is 4 times 45 pages: 45 × 4 = 180. 135 is the number of pages Leo still has to read, and 11.25 is 25% of 45.
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Question 10
There are 16 ounces in 1 pound. How many pounds is 72 ounces?
Correct answer: C
72 ÷ 16 = 4 with 8 ounces left over, and 8 ounces is half of a pound, so 72 ounces = 4.5 pounds. 4.8 pounds writes the remainder 8 as a decimal digit, which is a common mistake.
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Question 11
The ratio of red marbles to blue marbles in a bag is 2:5. There are 35 marbles in all. How many marbles are red?
Correct answer: A
Each group of 2 red and 5 blue marbles has 7 marbles, and 35 ÷ 7 = 5 groups, so there are 2 × 5 = 10 red marbles. 14 takes 2 fifths of 35, but 2:5 compares red to blue, not red to the total.
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Question 12
A soccer team won 60% of its 20 games and did not tie any games. How many games did the team lose?
Correct answer: B
The team won 60% of 20 = 12 games, so it lost 20 − 12 = 8 games (that is 40% of 20). 12 is the number of games won, not lost.
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