Math Drills · Grade 5 (Elementary School)
Amount per Unit Quantity
6 free maths worksheets for “Amount per Unit Quantity” in Grade 5 (Elementary School). Download the question and answer PDFs and print them, no sign-up needed.
WorksheetsWhat this unit covers
Crowdedness and unit price show how two quantities can be compared by dividing one by the other. From deciding which quantity counts as 1 and finding the amount that goes with it, the work widens to one-step and two-step problems in both directions, unit price from a difference, and Population Density.
Dividing the wrong way round when finding the per-unit amount stands out. If the question asks how many people per m² and the area was divided by the number of people, the unit on the answer has swapped with the one the question wanted. Working backward, children multiply where they should divide and the digits stop matching.
Averaging, dividing a total by a count, is turned here toward comparing two different quantities, as in population density, where that same count is applied to finding the amount per single unit. Comparing by that per-unit amount carries straight over into the unit that follows, Speed, for the relationship between distance and time.
Learning steps
Worksheets
Amount per Unit Quantity
Related study guides
- Why Speed Is a Step Harder Than Percentage — Turning Two Different Kinds of Quantity Into One
Which is faster, 300 metres per minute or 12 kilometres per hour? When your child's hand stops, it isn't about calculation skill. It's because combining two different kinds of quantity — length and time — into one is a new kind of thinking, the first of its kind in elementary math. Here's how that idea gets built up.
- Teaching Percentage to a Child Who Doesn't Get It — "See It as 1" Before Any Formula
Percentage is the hardest topic in elementary math. Why memorising the formula doesn't work, how to build the sense of "seeing the base amount as 1", and how to extend it to percentages and rates.
Frequently asked questions
- What do the “Amount per Unit Quantity” worksheets for Grade 5 (Elementary School) practice?
- They cover problems such as Comparing, Finding the Per-Unit Quantity, Forward, One Step, Forward, Two Steps, Working Backwards, One Step, Working Backwards, Two Steps, Unit Price from the Difference, Population Density.
- How many “Amount per Unit Quantity” worksheets are there for Grade 5 (Elementary School)?
- 6 worksheets are free to use. Every one is a printable PDF and comes with an answer key.