Math Drills
Amount per Unit Quantity
B-3Word Problems (Working Backward, Density)
You can hand this out in class or share it on social media for free. Usage rules
What this worksheet covers
- Worksheet
- Amount per Unit Quantity
Scenes such as crowdedness, fuel economy, cost and Population Density are compared by dividing one quantity by another. Questions finding an amount per 1 and comparing two of them, questions finding a whole amount or a count from an amount per 1, and questions finding the price of one item from the difference between two ways of buying stand together, and some are two-tier Word Problems that find the amount per 1 first.
Read more
Only the question finding the price of one item from the difference between two ways of buying takes a different shape. Total the costs and total the counts, then divide, and out comes a figure mixing the two conditions. Whether both the difference of the costs and the difference of the counts appear together inside the expression is what separates them.
Calculating the Average leveled figures of one kind into a single representative. What gets tied together here are two quantities of different kinds. In Speed, Distance, and Time those two become distance and time.
- Finding the Per-Unit Quantity2 questions
- Working Backwards, One Step1 question
- Working Backwards, Two Steps1 question
- Population Density2 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Amount per Unit Quantity”, shown with their answers.
(1)A car travels 120km on 8L of gasoline. How many km can it travel per 1L? Answer □
Answer: 15km
(2)There is 4m of silk ribbon for 200 dollars. How many dollars is the price per 1m? Answer □
Answer: 50dollars
(3)There is wire that weighs 40g per 1m. When you cut off a piece and weighed it, it was 280g. How long, in how many m, is the piece you cut off? Answer □
Answer: 7m
(4)There is 4kg of gourmet chocolate for 800 dollars. If you buy 1400 dollars worth of this chocolate, how many kg can you buy? Answer □
Answer: 7kg
(5)Town A has an area of 8km² and a population of 1600 people. Town B has an area of 10km² and a population of 2500 people. Which town has the higher population density? Answer □
Answer: B
(6)Town A has an area of 45km² and a population of 9000 people. Town B has an area of 50km² and a population of 11000 people. Which town has the higher population density? Answer □
Answer: B
