7th Grade Multiplying and Dividing Rational Numbers Test with Point Values (PDF)

7th Grade math test: Multiplying and Dividing Rational Numbers – Maths PDF

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This multiply divide rationals test for 7th Grade covers multiplying and dividing rational numbers (Common Core 7.NS.A.2), with a free PDF to print.

This 45-minute test checks multiplying and dividing integers, fractions, and decimals, sign rules, and converting fractions to terminating or repeating decimals (Common Core 7.NS.A.2). It has 9 questions worth 20 points in all. Show your work, because most questions give partial credit for correct steps.

Time and points

About this test

Grade: Grade 7
Chapter: Multiplying and Dividing Rational Numbers
Standards: 7.NS.A.2
Time: 45 minutes
Total: 20 points

Multiply divide rationals test: questions

Question 1 – Integers [2 pts]

Find (a) $-9\times 7$ (b) $-72\div(-8)$ (c) $(-3)(-2)(-5)$ (d) $0\div(-4)$

Question 2 – Sign explanation [2 pts]

Explain why the product of two negative numbers is positive. Use an example with numbers.

Question 3 – Decimals [2 pts]

Find (a) $-1.2\times 0.5$ and (b) $-4.5\div(-0.15)$.

Question 4 – Fractions [2 pts]

Find (a) $-\frac{3}{5}\times\frac{10}{9}$ and (b) $-\frac{7}{8}\div\left(-\frac{1}{4}\right)$.

Question 5 – Fractions as decimals [2 pts]

Write each fraction as a decimal. State whether it terminates or repeats. (a) $\frac{3}{16}$ (b) $\frac{7}{12}$.

Question 6 – Number line [2 pts]

Start at 0.

Show $3\times(-2.5)$ as repeated addition. Draw or describe the jumps and find the product.

Question 7 – Three fractions [2 pts]

Find $\left(-\frac{3}{2}\right)\left(-\frac{5}{3}\right)\left(-\frac{2}{5}\right)$.

Question 8 – Savings plan [3 pts]

Mei’s weekly spending from her savings.

Find the total change after 6 weeks. (1 point)
If the total is shared equally over 3 equal accounts, find the change in each. (1 point)
Find how many weeks it takes for the total change to reach $-\$51$. (1 point)

Question 9 – Mean change [3 pts]

Daily temperature changes.

Find the total change. (1 point)
Find the mean daily change. (1 point)
If the mean change continued for 10 more days, find the total change. (1 point)

Key facts behind this multiply divide rationals test

Key facts

Same signs: positive. Different signs: negative.
An even number of negative factors gives a positive product; an odd number gives a negative product.
Divide by a fraction by multiplying by its reciprocal.
Division by 0 is undefined.
A fraction is a terminating decimal or a repeating decimal, found by long division.

How to use this multiply divide rationals 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 7 chapters: Grade 7 math.

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