7th Grade Percent Problems: Tax, Tips, Discounts and Markups Test with Point Values (PDF)

7th Grade math test: Percent Problems: Tax, Tips, Discounts and Markups – Maths PDF

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This percent problems test for 7th Grade covers percent problems: tax, tips, discounts and markups (Common Core 7.RP.A.3), with a free PDF to print.

This 45-minute test checks multistep percent problems: sales tax, tips, discounts, markups, commission, simple interest, percent change, and percent error (Common Core 7.RP.A.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: Percent Problems: Tax, Tips, Discounts and Markups
Standards: 7.RP.A.3
Time: 45 minutes
Total: 20 points

Percent problems test: questions

Question 1 – Tip and total [2 pts]

A restaurant bill and tip.

Noah’s dinner bill is $30. He leaves a 20% tip. Find the tip and the total.

Question 2 – Discount [2 pts]

Original price of a pair of jeans.

Jeans cost $85. They are on sale for 20% off. Find the sale price.

Question 3 – Percent change [2 pts]

Last year a team had 40 members. This year it has 46 members. Find the percent increase.

Question 4 – Original price [2 pts]

A game console is on sale for $270, which is 90% of its regular price. Find the regular price.

Question 5 – Simple interest [2 pts]

Find the simple interest earned on $1,500 at 4% per year for 3 years. Then find the total balance.

Question 6 – Markup then discount [2 pts]

A store buys a lamp for $40 and marks it up 50%. A week later the lamp is sold at 10% off the marked price. Find the selling price.

Question 7 – Commission [2 pts]

Maya earns a salary of $300 a week plus 5% of her sales. Find her pay in a week with $2,000 in sales, and the sales needed to earn $450.

Question 8 – Two-step purchase [3 pts]

A price changes twice.

Find the price after the discount. (1 point)
Find the total after tax. (1 point)
Find the total percent saved compared with paying the original price plus tax. (1 point)

Question 9 – Measurement error [3 pts]

Aisha measures a trail as 5 miles. The actual length is 5.4 miles. (a) Find the percent error of her measurement to the nearest tenth of a percent. (b) A second hiker measures 5.6 miles. Find that percent error to the nearest tenth of a percent. (c) Tell which measurement is closer to the actual length, using the percent errors.

Key facts behind this percent problems test

Key facts

Percent of a number: change the percent to a decimal and multiply.
Tax, tips, and markups add; discounts subtract. The base is the original amount.
Percent change = change ÷ original amount * 100%.
Simple interest is $I = prt$; commission is a percent of sales.
Percent error = |measured – actual| ÷ actual * 100%.

How to use this percent 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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