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.