pdf Percent Of A Number Word Problems

Tagged in 6.RP, 6th grade, 7.RP, 7th grade, converting percent to decimal, percent decrease, percent of a number, percent word problems, proportional reasoning, rational numbers, real world percent problems

Percent Of A Number Word Problems

This real-world worksheet develops students’ understanding of percentage through multi-step word problems that require converting percentages to decimals and multiplying. Students solve eight contextual scenarios involving percent decrease, percent of a quantity, tax, rate, and percent remaining.

Problems include situations such as finding how many grapes remain after 28% are eaten from 75 grapes, determining how much to take home after 40% is withheld from earnings, calculating total tax paid on a purchase with an additional 6% tax, and determining how many cookies remain after 65% are eaten. Additional scenarios include calculating world population percentages, finding ounces of isopropyl alcohol in a 70% solution, determining tank capacity when 16 gallons represents 40% of the total, and calculating remaining test questions after 65% are completed.

Because students must convert percents to decimals, multiply accurately, and interpret the result within context, this resource strengthens procedural fluency and real-world percent reasoning. The mixture of percent increase, percent decrease, and percent-of-a-number problems builds well-rounded understanding.

This worksheet works well as guided instruction, independent practice, homework, small-group intervention, enrichment, or assessment preparation in a unit on percent applications.


Skills Assessed

  • Converting percentages to decimals

  • Finding a percent of a number

  • Calculating percent increase and percent decrease

  • Solving multi-step percent word problems

  • Interpreting percent in real-world contexts


Classroom Use

  • Guided instruction on percent applications

  • Independent practice

  • Homework assignment

  • Small-group remediation

  • Assessment preparation


Details

2 pages
Answer key included

ID# 0767