Multiplicative Comparison Worksheets: Times as Many, Stories and Bars

Press Make a new sheet for six new comparison stories, or pick sentences or bars under Sheet type.

6 problems. Comparison stories: find the larger amount. Sheet 1PTME, with its answer key.

How it works

These multiplicative comparison worksheets practice times as many: one amount is a number of times another. The opening sheet has six word problems that ask for the larger amount.

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Move the unknown

A comparison has three numbers: the smaller amount, the larger amount and how many times. After the opening sheet, print Comparison stories: find the smaller amount and Comparison stories: how many times as many? The same situations return with a different number missing, so pupils must decide whether to multiply or divide.

From a sentence to an equation

Common Core 4.OA.1 reads 35 = 5 × 7 as 35 is 5 times as many as 7. Write the equation for a comparison sentence is that multiplication as a comparison worksheet. The bar sheets draw one unit over a bar several units long, to scale.

  • Have pupils underline the words times as many and ring the amount they are asked for before they work.
  • Print the two-bar sheet when pupils add instead of multiplying: 6 more than 4 is 10, 6 times as many is 24.

Questions and answers

What is a multiplicative comparison?

A comparison that says how many times as large one amount is as another: 24 is 6 times as many as 4. An additive comparison says how many more: 24 is 20 more than 4.

What grade is this for?

Grade 4 in Common Core. Its standard 4.OA.2 has pupils multiply or divide to solve comparison word problems and tell them apart from additive ones. The facts used here go no higher than 9 × 12.

Do the stories come with answers?

Yes. The answer key prints as the last page with each answer and its number sentence, such as 56 ÷ 8 = 7. Untick Answer key before you press Print to leave it out.

How do I know whether to multiply or divide?

Find what is missing. If the larger amount is missing, multiply the smaller one by the number of times. If the smaller amount or the number of times is missing, divide the larger amount.

All 11 sheet types

Comparison stories, one unknown each 3

  • Comparison stories: find the larger amount A sapling is 9 feet tall and the oak beside it is 7 times as tall: 7 × 9 = 63 feet. Six stories where the smaller amount and the number of times are given and pupils multiply for the larger amount.
  • Comparison stories: find the smaller amount The larger amount is given this time: a blue ribbon is 56 inches long, 8 times as long as a red one, so the red ribbon is 56 ÷ 8 = 7 inches. Pupils divide by the number of times.
  • Comparison stories: how many times as many? Both amounts are given and the number of times is asked: one shelf holds 48 books and another 6, so the first holds 48 ÷ 6 = 8 times as many. Pupils divide the larger amount by the smaller.
Show all 11 sheet types (8 more)

Sentences and equations 4

  • How many times as many? Write the multiplier The middle number is blank: 54 is ___ times as many as 9. Pupils ask how many 9s make 54 and write 6, since 54 ÷ 9 = 6. Every answer is a whole number from 2 to 9.
  • Times as many as what? Write the smaller amount The last number is blank: 77 is 7 times as many as ___. Pupils divide, 77 ÷ 7 = 11, and can check by multiplying back. The smaller amount runs from 2 to 12.
  • Times as many: write the larger amount One sentence a line, the first number blank: ___ is 9 times as many as 6. Pupils multiply and write 54, because 9 × 6 = 54. The key adds the multiplication under each sentence.
  • Write the equation for a comparison sentence The sentence is complete and the equation is blank: 35 is 5 times as many as 7, so pupils write 35 = 5 × 7. This is the step from words to a multiplication equation, with the product standing first.

Comparison bars 4

  • Comparison bars: find the larger amount A short bar marked 4 stands over a long bar that is 6 times as long. The bars are drawn to scale, so the long one is plainly six of the short one, and pupils write 6 × 4 = 24.
  • Comparison bars: find the smaller amount The long bar is labelled, 24, and it is 6 units long. The one-unit bar above it carries the question mark. Pupils divide the long bar among its units: 24 ÷ 6 = 4.
  • Comparison bars: how many times as long? Both bars are labelled, 10 and 30, and pupils say how many times the short one fits along the long one: 30 ÷ 10 = 3, so it is 3 times as many. The key marks the units.
  • Times as many or more than? Two bars, two answers Each box asks both questions about one pair of numbers: 6 times as many as 4 is 6 × 4 = 24, and 6 more than 4 is 4 + 6 = 10. The drawings differ, six units against one bar with a piece added.

How this list was compiled: The sheet types, the story sentences and the worked examples were written for this page; the numbers are made by the sheet generator and every worked example was computed by script on 2026-10-01. The standard was read in the full text of the Common Core State Standards for Mathematics (California Department of Education copy, https://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf), read on 2026-10-01: 4.OA.1 has grade 4 interpret a multiplication equation as a comparison, for example 35 = 5 × 7 as a statement that 35 is 5 times as many as 7, and 4.OA.2 has pupils multiply or divide to solve word problems involving multiplicative comparison and tell it apart from additive comparison. Licence: own work