Grade 5 Math Practice Test: Line Plots with Fractions
- Line Plots with Fractions
- 10 questions
- 15 minutes
This test uses line plots of measurements in fractions of a unit. You will count data, add and subtract fractions from a plot, and share a total equally. Tip: each X stands for one measurement, so a column of three X marks means that value appears three times.
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
The line plot shows how much water is in each of 10 beakers in a science lab.
How many beakers hold more than 12 liter?
Correct answer: A
"More than 12" means the X marks at 34 (4 beakers) and 1 (1 beaker): 4 + 1 = 5. The beakers with exactly 12 liter do not count.
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Question 2
The line plot shows how much water is in each of 10 beakers in a science lab.
How much water is in all 10 beakers together?
Correct answer: C
2 × 14 + 3 × 12 + 4 × 34 + 1 × 1 = 12 + 1 12 + 3 + 1 = 6 liters. 2 12 adds each value only once, ignoring how many X marks it has.
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Question 3
The line plot shows how much water is in each of 10 beakers in a science lab.
The water is poured back and shared equally among the 10 beakers. How much water does each beaker get?
Correct answer: B
The total is 6 liters, and 6 ÷ 10 = 610 = 35 liter. 1 23 divides 10 by 6 instead of 6 by 10.
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Question 4
The line plot shows how much water is in each of 10 beakers in a science lab.
What is the difference between the greatest and the least amount of water in a beaker?
Correct answer: D
The greatest amount is 1 liter and the least is 14 liter: 1 − 14 = 34 liter. 1 14 adds the two amounts instead of subtracting.
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Question 5
Students measured 12 caterpillars. The line plot shows their lengths.
Which length was measured most often?
Correct answer: A
The tallest column of X marks is above 1 14 inches, with 4 caterpillars. 1 18 and 1 12 inches each have only 3.
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Question 6
Students measured 12 caterpillars. The line plot shows their lengths.
What is the total length of all the caterpillars that are 1 12 inches long?
Correct answer: D
Three caterpillars are 1 12 inches long: 3 × 1 12 = 3 + 32 = 4 12 inches. 1 12 is the length of just one of them.
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Question 7
Students measured 12 caterpillars. The line plot shows their lengths.
How many caterpillars are shorter than 1 14 inches?
Correct answer: B
Shorter than 1 14 inches means the X marks at 1 inch (2) and 1 18 inches (3): 2 + 3 = 5. 9 also counts the 4 caterpillars that are exactly 1 14 inches.
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Question 8
Students measured 12 caterpillars. The line plot shows their lengths.
What is the combined length of the shortest caterpillar and the longest caterpillar?
Correct answer: C
The shortest is 1 inch and the longest is 1 12 inches, so together they are 2 12 inches. 12 inch is their difference, not their sum.
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Question 9
Leo measured six leaves, in inches:
12, 14, 12, 34, 12, 14
He makes a line plot of the data. How many X marks go above 12?
Correct answer: C
12 appears three times in the list, so there are three X marks above 12. 2 is the number of leaves that are 14 inch long.
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Question 10
A line plot shows the weights of 8 bags of seeds:
Weight (pound) 18 38 12 Number of bags 4 2 2 What is the total weight of all 8 bags?
Correct answer: B
4 × 18 + 2 × 38 + 2 × 12 = 48 + 68 + 88 = 188 = 2 14 pounds. 1 14 leaves out the two 12-pound bags.
Questions you leave blank are not counted as wrong.
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