Math Drills
Ratio and Its Uses Review
B-3Word Problems
What this worksheet covers
Grade 6 (Elementary School) / Ratio and Its Uses
A relationship between two quantities is written in a form such as 3:2, and children learn to find the value of the ratio and to simplify the ratio. Calculations and word problems that turn decimal and fraction ratios into whole-number ratios sit in the middle, and the work moves on to equivalent ratios and to sharing a whole in a given ratio.
When simplifying, children subtract the same number from both sides, turning 6:4 into 4:2 where division was called for. In sharing, the whole gets divided by just one number of the ratio rather than by the sum, so the two shares no longer add back up to the whole.
Finding the value of a ratio, the skill fixed in this unit, supports a property studied in the next unit, Enlargement and Reduction: that corresponding sides keep an equal ratio. The back-and-forth between fractions and decimals practiced in Mixed Operations with Fractions and Decimals is put to work here in rewriting a ratio in whole numbers.
- Ratio Values and Simplifying Ratios · Ratio Value (Word Problems)1 question
- Ratio Values and Simplifying Ratios · Finding and Simplifying Ratios (Word Problems)1 question
- Ratio Values and Simplifying Ratios · Converting Decimal and Fraction Ratios to Whole-Number Ratios (Word Problems)1 question
- Equal Ratios and Their Uses · Sharing Using a Ratio (Calculation)1 question
- Equal Ratios and Their Uses · Using Equal Ratios (Word Problems)1 question
- Equal Ratios and Their Uses · Sharing Using a Ratio (Word Problems)1 question
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Problems and answers on this worksheet
These are the problems in “Ratio and Its Uses”, shown with their answers.
(1)There are 9 apples and 6 oranges. Find the value of the ratio of the ratio of numbers of apples to oranges. Answer □
Answer: 1.5
(2)There is 9kg of white rice and 6kg of glutinous rice. Express the ratio of the weights of white rice to glutinous rice in its simplest form. Answer □
Answer: 3:2
(3)There is 3/4m of red ribbon and 1/2m of blue ribbon. Express the ratio of the lengths of the red and blue ribbons in the simplest whole-number form. Answer □
Answer: 3:2
(4)Divide 100 in the ratio 3:7. Answer □and□
Answer: 30, 70
(5)In a class, the ratio of the number of boys to girls is 3:5, and there are 18 boys. How many girls are there? Answer □
Answer: 30girls
(6)Divide 240cm of ribbon in the ratio 5:7. How many cm long is each piece? Answer □and□
Answer: 100cm, 140cm
What to do next
More worksheets in this unit
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3Ratio Values and Simplifying Ratios Word Problems
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5Ratio and Its Uses Review Calculation