Check what you know about line plots with fractions. These 10 multiple-choice questions use halves, fourths and eighths. Choose the single best answer, then read the explanation for the common mistake.
Question 1 What is the total of all the measurements, in cups?0 1/4 1/2 3/4 1 Cups of milk Line plot. Each X is one measurement. Label: Cups of milk.
A \(1\frac{1}{2}\) cupsB 6 cupsC \(2\frac{1}{2}\) cupsD \(2\frac{3}{4}\) cups\(2 \times \frac{1}{4} + 3 \times \frac{1}{2} + \frac{3}{4} = \frac{1}{2} + 1\frac{1}{2} + \frac{3}{4} = 2\frac{3}{4}\). Adding \(\frac{1}{4} + \frac{1}{2} + \frac{3}{4}\) only once gives \(1\frac{1}{2}\).
Question 2 Four glasses hold \(\frac{1}{4}\), \(\frac{1}{4}\), \(\frac{3}{4}\) and \(\frac{3}{4}\) cup of juice. The juice is shared equally. How much is in each glass?
A 2 cupsB \(\frac{1}{2}\) cupC \(\frac{3}{4}\) cupD \(\frac{1}{8}\) cupThe total is 2 cups. Divide by 4 glasses: \(2 \div 4 = \frac{1}{2}\) cup.
Question 3 How many pieces are longer than \(\frac{1}{2}\) inch?0 1/8 1/4 3/8 1/2 5/8 3/4 7/8 1 Length of a piece (inches) Line plot. Each X is one measurement. Label: Length of a piece (inches).
A 3B 6C 2D 1Longer than \(\frac{1}{2}\) means only the marks \(\frac{5}{8}\) and \(\frac{3}{4}\): \(2 + 1 = 3\). Including the \(\frac{1}{2}\) mark gives 6, a common mistake.
Question 4 The shortest nail is \(\frac{1}{8}\) inch and the longest is \(\frac{3}{4}\) inch. How much longer is the longest nail?
A \(\frac{7}{8}\) inchB \(\frac{3}{4}\) inchC \(\frac{5}{8}\) inchD \(\frac{1}{8}\) inchSubtract: \(\frac{3}{4} - \frac{1}{8} = \frac{6}{8} - \frac{1}{8} = \frac{5}{8}\). Adding gives \(\frac{7}{8}\).
Question 5 Six coolers are leveled so each holds the same amount. How much water is in each cooler?0 1/2 1 1 1/2 2 Water in a cooler (gallons) Line plot. Each X is one measurement. Label: Water in a cooler (gallons).
A \(7\frac{1}{2}\) gallonsB \(1\frac{1}{4}\) gallonsC \(1\frac{1}{2}\) gallonsD 1 gallonTotal is \(\frac{1}{2} + 2 + 3 + 2 = 7\frac{1}{2}\). Divide by 6 coolers: \(7\frac{1}{2} \div 6 = 1\frac{1}{4}\).
Question 6 Maya has \(\frac{3}{8}\) pound of beads and Jamal has \(\frac{5}{8}\) pound. They share equally. How many pounds does each get?
A \(\frac{1}{2}\) poundB 1 poundC \(\frac{1}{4}\) poundD \(\frac{3}{4}\) poundTotal \(\frac{3}{8} + \frac{5}{8} = 1\) pound, then \(1 \div 2 = \frac{1}{2}\). Stopping at the total gives 1 pound.
Question 7 Three pieces of ribbon are each \(\frac{3}{8}\) yard long. What is their total length?
A \(\frac{9}{24}\) yardB \(1\frac{1}{8}\) yardsC \(\frac{3}{8}\) yardD \(1\frac{3}{8}\) yards\(3 \times \frac{3}{8} = \frac{9}{8} = 1\frac{1}{8}\). Adding numerators and denominators gives \(\frac{9}{24}\), which is wrong.
Question 8 Mei measured \(\frac{1}{2}\) inch of rain, then \(\frac{3}{4}\) inch, then \(\frac{1}{4}\) inch. How many more inches are needed to reach 2 inches?
A \(\frac{1}{2}\) inchB \(1\frac{1}{2}\) inchesC \(\frac{1}{4}\) inchD \(2\frac{1}{2}\) inchesThe total is \(\frac{1}{2} + \frac{3}{4} + \frac{1}{4} = 1\frac{1}{2}\). Then \(2 - 1\frac{1}{2} = \frac{1}{2}\).
Question 9 Which expression gives the total of the data?0 1/4 1/2 3/4 1 Length of a stick (feet) Line plot. Each X is one measurement. Label: Length of a stick (feet).
A \(\frac{1}{4}+\frac{1}{2}+\frac{3}{4}+1\)B \(8\times\frac{1}{2}\)C \(1+4+2+1\)D \(1\times\frac{1}{4}+4\times\frac{1}{2}+2\times\frac{3}{4}+1\times1\)Multiply each value by its number of X's, then add. Adding the marks once ignores the counts.
Question 10 Two plants are \(\frac{3}{4}\) foot and \(1\frac{1}{4}\) feet tall. If their heights were leveled, how tall would each plant be?
A 2 feetB \(\frac{1}{2}\) footC 1 footD \(1\frac{1}{4}\) feetThe total is \(\frac{3}{4} + 1\frac{1}{4} = 2\). Divide by 2 plants to get 1 foot.
Download PDFDownload the 5th Grade Line Plots and Data Quiz: 10 Questions with Explanations (PDF, 75 KB)
Dividing by Two-Digit Divisors Test with Point Values
