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Unit Rates Involving Fractions worksheet

Suitable for Year groups: 8, 9
GCSE Tier:
Foundation
Targeting grades: 1-3
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Prerequisite knowledge: Fraction arithmetic. Converting between mixed numbers and improper fractions. Direct proportion problems with integers.
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Unit Rates Involving Fractions worksheet description

This worksheet focuses on helping learners calculate and compare unit rates in real-world scenarios, all involving fractions. The worksheet is divided into four sections.

In Section A, students will find the multiplicative inverse of unit and non unit fractions and integers in preparation for calculating unit rates.

Section B guides learners through solving unit problems which increase in difficulty but the context remains the same, promoting understanding of how fractions work within proportional relationships.

Section C challenges students to determine unit rates for given problems such as “A painter paints 3/10 of a room in ¾ of an hour. How much of the room would the painter paint in 1 hour”.

Finally, in Section D pupils will use unit rates to make comparisons.

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