7th Grade Multistep Problems with Rational Numbers Test with Point Values (PDF)

7th Grade math test: Multistep Problems with Rational Numbers – Maths PDF

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This grade 7 multistep problems test for 7th Grade covers multistep problems with rational numbers (Common Core 7.EE.B.3), with a free PDF to print.

This 45-minute test checks multistep real-life problems with positive and negative rational numbers in any form, converting between fractions, decimals, and percents, and checking with estimation (Common Core 7.EE.B.3). 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: Multistep Problems with Rational Numbers
Standards: 7.EE.B.3
Time: 45 minutes
Total: 20 points

Grade 7 multistep problems test: questions

Question 1 – Forms of a number [2 pts]

Write $\frac{5}{8}$ as a decimal and as a percent. Then write $0.04$ as a fraction in simplest form.

Question 2 – Estimate and compute [2 pts]

Estimate with a number line if you like.

Estimate $29.7\times 2.1$ using compatible numbers. Then find the exact product and tell whether the exact product is reasonable.

Question 3 – Mixed forms [2 pts]

Evaluate $\frac{3}{4}\times 80-0.25\times 40$.

Question 4 – Overtime [2 pts]

Ethan earns $15 per hour for the first 40 hours and time and a half for each extra hour. Find his pay for 44 hours.

Question 5 – Recipe [2 pts]

A punch recipe uses $3\frac{1}{3}$ quarts of juice. Maya makes 60% of the recipe. Find the juice she uses.

Question 6 – Team dinner [2 pts]

A team dinner.

Six players split the dinner equally after a 20% tip is added to the total. Find each player’s share.

Question 7 – Debt and earnings [2 pts]

Debt and earnings.

Noah owes $18 (write $-18$) and then earns $42 mowing lawns. He gives $\frac{1}{3}$ of his new balance to a charity. Find the amount he gives and the amount he keeps.

Question 8 – Budget [3 pts]

A monthly budget.

Find the dollar amount for rent and for food. (1 point)
Find the total for rent and food and the percent of the budget this is. (1 point)
Find the amount left after rent, food, and a $300 car payment. (1 point)

Question 9 – Coat purchase [3 pts]

The price changes twice.

Priya buys a coat for $120 with 25% off and then pays 8% tax. (a) Find the sale price. (b) Find the final cost. (c) She pays with a $100 bill. Find her change.

Key facts behind this grade 7 multistep problems test

Key facts

Fractions, decimals, and percents are different names for the same numbers.
Convert to one form before you combine numbers.
Break the problem into steps and write the expression for each step.
Round only at the end; round money to the nearest cent.
Estimate with friendly numbers to check reasonableness.

How to use this grade 7 multistep problems 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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