6th Grade Dividing Fractions by Fractions Test with Point Values (PDF)

6th Grade math test: Dividing Fractions by Fractions – Maths PDF

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This divide fractions test for 6th Grade covers dividing fractions by fractions (Common Core 6.NS.A.1), with a free PDF to print.

This 45-minute test has 9 questions worth 20 points. It covers dividing fractions and mixed numbers, using models, and solving word problems (Common Core 6.NS.A.1). Show your work for full credit.

Time and points

About this test

Grade: Grade 6
Chapter: Dividing Fractions by Fractions
Standards: 6.NS.A.1
Time: 45 minutes
Total: 20 points

Divide fractions test: questions

Question 1 – Divide with a model [2 pts]

Strips for five sixths and twelfths.

Find \(\frac{5}{6} \div \frac{1}{12}\).

Question 2 – Whole number by a fraction [2 pts]

Jumps of two thirds along a number line.

Find \(4 \div \frac{2}{3}\).

Question 3 – Fraction by fraction [2 pts]

Find \(\frac{5}{8} \div \frac{3}{4}\).

Question 4 – Fraction by whole [2 pts]

Find \(\frac{3}{5} \div 6\).

Question 5 – Mixed numbers [2 pts]

Find \(1\frac{3}{4} \div \frac{1}{2}\).

Question 6 – Servings [2 pts]

A bag has \(2\frac{1}{2}\) pounds of flour. A recipe uses \(\frac{1}{2}\) pound per loaf. Find the number of loaves.

Question 7 – Missing length [2 pts]

Area is 5/6 square meter.

A rectangle has an area of \(\frac{5}{6}\text{ m}^{2}\) and a length of \(\frac{5}{3}\text{ m}\). Find the width.

Question 8 – Pizza sharing [3 pts]

Aisha has \(\frac{3}{4}\) of a pizza. She gives each friend \(\frac{1}{8}\) of a whole pizza. Find how many friends get a share, and what fraction of the whole pizza each friend would get if she shared her \(\frac{3}{4}\) equally among 3 friends instead.

Question 9 – Walking speed [3 pts]

Diego walks \(\frac{3}{4}\) mile in \(\frac{1}{4}\) hour. Find his speed in miles per hour. At that speed, how long does it take to walk \(4\frac{1}{2}\) miles?

Key facts behind this divide fractions test

Key facts

Dividing by a fraction means multiplying by its reciprocal.
Reciprocals multiply to 1: 2/3 and 3/2.
Write mixed numbers as improper fractions before dividing.
Dividing by a fraction less than 1 gives a quotient greater than the dividend.
Check a quotient by multiplying it by the divisor.

How to use this divide fractions test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 6 chapters: Grade 6 math.

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