Take this 10-question quiz on line plots with fractions. Read each plot carefully before you answer. Some questions use halves, fourths, or eighths. The explanations show how to avoid common mistakes with the dots and the fractions.
Question 1 Look at the line plot. How many measurements are shown?1/2 3/4 1 length in inches Nail lengths. Each dot is one nail.
A 3B 6C 4D 9Count every dot: 3 + 2 + 4 = 9. The 3 counts only the number marks on the line.
Question 2 Look at the line plot. Which length is the most common?1/2 3/4 1 length in inches Nail lengths. Each dot is one nail.
A 1/2 inB 3/4 inC 4 inD 1 inThe tallest stack has 4 dots at 1 inch. The number 4 is how many dots, not a length.
Question 3 Look at the line plot. How much longer is the longest nail than the shortest?1/2 3/4 1 length in inches Nail lengths. Each dot is one nail.
A \(\frac{1}{2}\text{ in}\)B \(\frac{1}{4}\text{ in}\)C \(1\frac{1}{2}\text{ in}\)D \(\frac{3}{4}\text{ in}\)The longest is 1 inch and the shortest is 1/2 inch. Subtract: 1 - 1/2 = 1/2 inch.
Question 4 A line plot has 3 dots at \(\frac{1}{4}\) inch. What is the total length of those 3 pieces?
A \(\frac{3}{12}\text{ in}\)B \(\frac{3}{4}\text{ in}\)C \(\frac{1}{4}\text{ in}\)D 3 inAdd 1/4 + 1/4 + 1/4 = 3/4. Adding the denominators too (3/12) is a common mistake.
Question 5 A line plot has 2 dots at \(\frac{1}{2}\) foot and 2 dots at 1 foot. What is the total length?
A 1 ftB 3 ftC 2 ftD 4 ftTwo halves make 1 foot, and two 1-foot pieces make 2 feet. 1 + 2 = 3 feet.
Question 6 Look at the line plot. How many seeds are shorter than \(\frac{3}{8}\) inch?1/8 1/4 3/8 1/2 length in inches Seed lengths. Each dot is one seed.
A 6B 4C 3D 7Shorter than 3/8 inch means 1/8 inch (1 dot) and 1/4 inch (2 dots): 1 + 2 = 3. The 7 is all the seeds.
Question 7 Look at the line plot. How much longer is the longest seed than the shortest?1/8 1/4 3/8 1/2 length in inches Seed lengths. Each dot is one seed.
A \(\frac{1}{8}\text{ in}\)B \(\frac{5}{8}\text{ in}\)C \(\frac{3}{8}\text{ in}\)D \(\frac{1}{4}\text{ in}\)Longest 1/2 = 4/8, shortest 1/8. Subtract: 4/8 - 1/8 = 3/8 inch.
Question 8 Four dots are at \(1\frac{1}{2}\) feet. What is the total length?
A 6 ftB 5 1/2 ftC 4 1/2 ftD 1 1/2 ftAdd 1 1/2 four times: 3, then 4 1/2, then 6 feet. Adding only 1 + 1/2 once is not enough.
Question 9 A line plot is labeled in fourths of an inch. Which mark comes right after \(\frac{1}{2}\) inch?
A \(\frac{3}{4}\text{ in}\)B \(\frac{1}{3}\text{ in}\)C \(\frac{5}{8}\text{ in}\)D 1 inFourths go 1/4, 2/4 (which is 1/2), 3/4, 4/4. The next mark after 1/2 is 3/4.
Question 10 The data are \(\frac{1}{4}, \frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{1}{4}\) inch. How many dots go above \(\frac{1}{4}\)?
A 1B 3C 2D 51/4 appears three times in the list, so there are 3 dots above 1/4. The total number of dots is 5.