Math Drills
Amount per Unit Quantity
A-1Word Problems (Comparison, Forward)
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.
- Comparing2 questions
- Finding the Per-Unit Quantity1 question
- Unit Price from the Difference1 question
- Forward, One Step1 question
- Forward, Two Steps1 question
Questions & answers
Problems and answers on this worksheet
These are the problems in “Amount per Unit Quantity”, shown with their answers.
(1)There is 6m of yellow silk ribbon for 180 dollars, and 4m of red silk ribbon for 200 dollars. Comparing the price per 1m, which is cheaper? Answer □
Answer: yellowsilk ribbon
(2)Car A travels 160km on 8L of gasoline, and Car B travels 90km on 6L of gasoline. Which car has better fuel efficiency? Answer □
Answer: A(Car)
(3)A car traveled 60km on 4L of gasoline. With 1L, how many km would you say it traveled? Answer □
Answer: 15km
(4)1 sneaker and 1 T-shirt cost 240 dollars. The same 1 sneaker and 5 T-shirts cost 320 dollars. How many dollars is each? T-shirt □ sneaker □
Answer: 20dollars, 220dollars
(5)There is paint that covers 4m² per 1L. How many m² can 6L of this paint cover? Answer □
Answer: 24m²
(6)There is silk ribbon that costs 160 dollars for 4m. How much does 12m of this ribbon cost? Answer □
Answer: 480dollars
