MA.6.AR.3.1 · Algebraic Reasoning

Writing and Interpreting Ratios: Sample FAST Questions

Given a real-world context, students write and interpret ratios that show the relative sizes of two quantities, using the notations a/b, a to b, and a:b (with b not zero). They distinguish part-to-part ratios from part-to-whole ratios, such as the ratio of red marbles to blue marbles versus red marbles to all marbles.

How the FAST tests this benchmark

FAST items are mainly multiple choice questions asking for the ratio that describes a situation or the correct interpretation of a given ratio, in any of the three notations.

Skills students need

Write ratios in a/b, a to b, and a:b notation
Interpret part-to-part and part-to-whole ratios in context

Try 4 real MA.6.AR.3.1 questions

These come straight from Algebro's question bank. Pick an answer to check it instantly.

Question 1EasyEquation Editor

Write the ratio

14:21

in simplest form as a fraction.

Enter the number only. Do not include units like $, %, or ft²

Question 2MediumMultiple Choice

A bookshelf has 9 hardcover books and 12 paperback books. What is the ratio of hardcover books to the total number of books, written in simplest form?

Question 3MediumMultiple Choice

In a survey, 16 students are left-handed and 24 are right-handed. What is the ratio of left-handed students to the total, written in simplest form?

Question 4HardMultiple Choice

An ice cream shop sold 9 vanilla cones, 6 chocolate cones, and 3 strawberry cones. What is the ratio of vanilla cones to the total number of cones sold?

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More Algebraic Reasoning benchmarks

MA.6.AR.1.1

Translating Between Words and Algebraic Expressions

MA.6.AR.1.2

Writing and Graphing Inequalities

MA.6.AR.1.3

Evaluating Algebraic Expressions