Math Drills
Amount per Unit Quantity
A-3Word Problems (Comparison, Forward)
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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.
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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)Wire A weighs 200g per 5m, and Wire B weighs 200g per 4m. Which is lighter per 1m? Answer □
Answer: A(Wire)
(2)Room A has 8 people in 20m², and Room B has 3 people in 15m². Which is more crowded? Answer □
Answer: A(Room)
(3)There is 6m of wire that weighs 300g. How many g does 1m of this wire weigh? Answer □
Answer: 50g
(4)1 backpack and 1 cap cost 200 dollars. The same 1 backpack and 4 caps cost 350 dollars. How many dollars is each? cap □ backpack □
Answer: 50dollars, 150dollars
(5)There is truffle oil that costs 200 dollars per 1L. If you buy 5L of truffle oil, how many dollars will it cost? Answer □
Answer: 1000dollars
(6)There is 2kg of premium chocolate for 500 dollars. How much does 6kg of this chocolate cost? Answer □
Answer: 1500dollars
