Common Core Grade 7 Mathematics: Ratios and Proportional Relationships

Unit rates, proportional relationships and percent (7.RP.A.1 to 7.RP.A.3)

A 12-question worksheet, a worked answer key and a 10-mark assessment with its answers, written to the Common Core Grade 7 standards 7.RP.A.1, 7.RP.A.2 and 7.RP.A.3. Every question is coded to the standard it tests. Checked by a teacher.

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Cover of the Common Core Grade 7 Mathematics: Ratios and Proportional Relationships packA page of questions from the Common Core Grade 7 Mathematics: Ratios and Proportional Relationships pack

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Five questions from the pack, with the answer explained. They are marked in this page: your answers are not sent anywhere and are not kept.

  1. 1.A cyclist rides ¾ of a kilometre in ⅙ of an hour. What is her speed?

    7.RP.A.1 · Worksheet A1

  2. 2.Shop A sells ¾ kg of rice for $1.80. Shop B sells 1¼ kg of the same rice for $2.75. Which shop gives better value?

    7.RP.A.1 · Worksheet A4

  3. 3.In this table, y is proportional to x. x: 2, 5, 8, 12. y: 7, 17.5, 28, 42. What is the constant of proportionality?

    7.RP.A.2 · Worksheet B5

  4. 4.A printer prints p pages in t minutes, where p = 24t. How many pages does it print in 7.5 minutes?

    7.RP.A.2 · Worksheet B8

  5. 5.A jacket costs $80. It is sold at 25% off, and then 5% sales tax is added to the sale price. What does the customer pay?

    7.RP.A.3 · Worksheet C9

What is in it

The objectives

CodeWhat it covers
7.RP.A.1Finding a unit rate when the quantities in a ratio are fractions, for lengths, areas and other quantities in the same or different units.
7.RP.A.2Recognizing and representing proportional relationships in tables, graphs and equations: the constant of proportionality, and what a point on the graph means.
7.RP.A.3Using proportional relationships to solve multistep ratio and percent problems: discounts, tax, markups, simple interest, tips, commission, percent increase and percent error.

Common Core State Standards: © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. The codes are the standards'; the descriptions of them, the questions, the answers and the marking notes are our own work.

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