Math Drills
Finding the Base Quantity
A-3Word Problems (Decimals, %)
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What this worksheet covers
- Topic
- Percentage
- Worksheet
- Finding the Base Quantity
The compared amount is divided by its percentage to trace back to the base amount. The percentage is shown as a decimal, as a percent, or as wari, and the wari questions restate it as a decimal before dividing. Where a question says an amount grew or shrank from the original, the word problems divide by 1 plus or 1 minus that percentage.
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A percent question needs one step before the dividing, turning the percent into a decimal. Divide by 40 with 40% left as it stands and the answer comes out a hundredth of the true figure, two places too small. What to multiply back by is the percentage itself in a basic question, or 1 with the percentage added or taken away in an increase or decrease question, and either returns the compared amount.
Of the three types, the direction that traces backward by dividing is complete here. From the next lesson a drawing expressing that percentage as a length or an angle gets read. The amount produced by multiplying in Finding the Compared Quantity has been moved here into the clues.
- Decimals (Basics)2 questions
- % (Basics)2 questions
- Decimals (Applying Increase and Decrease)1 question
- % (Applications)1 question
Questions & answers
Problems and answers on this worksheet
These are the problems in “Percentage”, shown with their answers.
(1)A length equal to 0.7 of the length of a rope is 56m. What is the total length of the rope in how many m? Answer □
Answer: 80m
(2)A length equal to 0.6 of the length of a tape is 27m. What is the total length of the tape in how many m? Answer □
Answer: 45m
(3)The amount discounted in the sale is 45 dollars, which is 50% of the original price. How many dollars was the original price of this item? Answer □
Answer: 90dollars
(4)The distance the bus has already traveled is 24km, which is 60% of the whole way to the destination. How many km is the total distance to the destination? Answer □
Answer: 40km
(5)This year, a park had 720 visitors, which is less than last year by a ratio of 0.2. How many visitors were there last year? Answer □
Answer: 900people
(6)The number of members of a soccer club this year is 460 people, which is 15% more than last year. How many members were there last year? Answer □
Answer: 400people
What to do next
More worksheets in this unit
Finding the PercentageFinding the Percentage Word Problems (Decimals, Basic)
Finding the PercentageFinding the Percentage Word Problems (%, Application)
Finding the Compared QuantityFinding the Compared Quantity Word Problems (Basic)
Finding the Compared QuantityFinding the Compared Quantity Word Problems (Increase/Decrease, 2 Steps)
