Grade 6 Math Practice Test: Converting Measurement Units with Ratios
- Converting Measurement Units with Ratios
- 10 questions
- 12 minutes
This test practices using ratio reasoning to convert measurement units and to solve rate problems. Tip: decide first whether the answer should be a bigger or a smaller number than the one you start with.
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
There are 3 feet in 1 yard. How many yards are in 15 feet?
Correct answer: B
Every 3 feet make 1 yard, so 15 ÷ 3 = 5 yards. Yards are longer than feet, so the number of yards must be smaller than 15, which rules out 45.
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Question 2
A bag of potatoes has a mass of 2.5 kilograms. What is its mass in grams? (1 kilogram = 1,000 grams)
Correct answer: A
2.5 × 1,000 = 2,500 grams. Multiplying by 100 instead of 1,000 gives 250.
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Question 3
There are 5,280 feet in 1 mile. How many feet are in 3 miles?
Correct answer: C
3 × 5,280 = 15,840 feet. 1,760 comes from dividing by 3, and 10,560 is only 2 miles.
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Question 4
A car travels 150 miles in 3 hours at a constant speed. At this rate, how far does it travel in 7 hours?
Correct answer: C
The unit rate is 150 ÷ 3 = 50 miles per hour, and 50 × 7 = 350 miles. 450 miles uses 3 × 150 instead of the unit rate.
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Question 5
There are 16 ounces in 1 pound. A box of cereal weighs 48 ounces. How many pounds is that?
Correct answer: A
48 ÷ 16 = 3 pounds. Pounds are heavier than ounces, so the number must be smaller than 48; 768 comes from multiplying.
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Question 6
There are 4 cups in 1 quart. How many cups are in 2 quarts?
Correct answer: D
Each quart is 4 cups, so 2 quarts are 2 × 4 = 8 cups. 6 cups comes from adding 2 and 4.
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Question 7
One inch is 2.54 centimeters. How many centimeters long is a 10-inch pencil case?
Correct answer: B
10 × 2.54 = 25.4 cm. 12.54 adds 10 instead of multiplying, and 3.94 comes from dividing.
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Question 8
A faucet fills a tub at a rate of 3 gallons per minute. How many minutes does it take to fill a 45-gallon tub?
Correct answer: A
45 gallons ÷ 3 gallons per minute = 15 minutes. 135 comes from multiplying 45 by 3.
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Question 9
A recipe uses 2 cups of sugar for every 5 cups of flour. How many cups of sugar are needed for 20 cups of flour?
Correct answer: D
20 cups of flour is 4 times 5 cups, so the sugar is 4 × 2 = 8 cups. 17 comes from adding 15 to both amounts instead of multiplying.
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Question 10
A runner covers 400 meters in 80 seconds at a steady pace. What is her speed in meters per second?
Correct answer: C
Speed = distance ÷ time = 400 ÷ 80 = 5 meters per second. 0.2 comes from dividing 80 by 400, which gives seconds per meter.
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