Grade 4 Math Practice Test: Line Plots with Fractions
- Line Plots with Fractions
- 10 questions
- 12 minutes
All 10 questions use one line plot of beetle lengths measured in eighths of an inch. Tip: each X is one beetle, so count the marks for "how many" questions and add the lengths for "how long" questions.
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 measured some beetles to the nearest eighth of an inch. The line plot shows the lengths. Each X is one beetle.
How many beetles did the class measure?
Correct answer: A
Count all the X marks: 2 + 1 + 4 + 3 + 1 + 1 = 12 beetles. 7 counts the lengths that have at least one X, not the beetles.
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Question 2
A class measured some beetles to the nearest eighth of an inch. The line plot shows the lengths. Each X is one beetle.
Which length was measured most often?
Correct answer: A
The tallest stack is above 3/8, with 4 X marks. 5/8 has 3 X marks, and 4/8 has none.
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Question 3
A class measured some beetles to the nearest eighth of an inch. The line plot shows the lengths. Each X is one beetle.
What is the difference between the longest and the shortest beetle?
Correct answer: B
The longest beetle is 7/8 inch and the shortest is 1/8 inch: 7/8 − 1/8 = 6/8 inch. 8/8 adds the lengths instead of subtracting.
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Question 4
A class measured some beetles to the nearest eighth of an inch. The line plot shows the lengths. Each X is one beetle.
What is the total length of all the beetles that are each 58 inch long?
Correct answer: D
There are 3 beetles that are 5/8 inch: 3 × 5/8 = 15/8 = 1 7/8 inches. 15/24 multiplies the denominator too, which is a common mistake.
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Question 5
A class measured some beetles to the nearest eighth of an inch. The line plot shows the lengths. Each X is one beetle.
How many beetles are shorter than 12 inch?
Correct answer: B
1/2 inch = 4/8 inch. The beetles at 1/8, 2/8 and 3/8 are shorter: 2 + 1 + 4 = 7 beetles.
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Question 6
A class measured some beetles to the nearest eighth of an inch. The line plot shows the lengths. Each X is one beetle.
The two longest beetles are placed end to end. What is their total length?
Correct answer: C
The two longest beetles are 7/8 inch and 6/8 inch: 7/8 + 6/8 = 13/8 = 1 5/8 inches. 13/16 wrongly adds the denominators.
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Question 7
A class measured some beetles to the nearest eighth of an inch. The line plot shows the lengths. Each X is one beetle.
What is the total length of all the beetles that are each 38 inch long?
Correct answer: A
4 beetles × 3/8 inch = 12/8 = 1 4/8 inches. 7/8 adds 4 + 3 instead of multiplying.
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Question 8
A class measured some beetles to the nearest eighth of an inch. The line plot shows the lengths. Each X is one beetle.
How many more beetles are 38 inch long than 78 inch long?
Correct answer: C
There are 4 beetles at 3/8 inch and 1 beetle at 7/8 inch, so there are 4 − 1 = 3 more. 5 adds the two stacks.
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Question 9
A class measured some beetles to the nearest eighth of an inch. The line plot shows the lengths. Each X is one beetle.
One more beetle is measured at 48 inch and added to the line plot. How many X marks will be above 48 then?
Correct answer: C
There are no X marks above 4/8 now. Adding one beetle puts 1 X mark there. 4 and 8 come from reading the numbers in the fraction.
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Question 10
A class measured some beetles to the nearest eighth of an inch. The line plot shows the lengths. Each X is one beetle.
What is the total length of all the beetles that are shorter than 38 inch?
Correct answer: D
The beetles shorter than 3/8 are two at 1/8 and one at 2/8: 1/8 + 1/8 + 2/8 = 4/8 inch. 3/8 counts the 1/8 length only once.
Questions you leave blank are not counted as wrong.
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