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Fraction, Percentage and Ratio Problems WORKSHEET
Suitable for Grades: 6th Grade, 7th Grade
CCSS: 6.RP.A.3, 7.RP.A.3
CCSS Description: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. b. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Use proportional relationships to solve multistep ratio and percent problems, including simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, and percent error.
Use proportional relationships to solve multistep ratio and percent problems, including simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, and percent error.
Fraction, Percentage and Ratio Problems WORKSHEET DESCRIPTION
This worksheet focuses on tackling problems that involve working with fractions, percentages, and ratios. These types of questions are very common in GCSE exams, and students studying either the foundation or higher tier curriculum will frequently encounter scenarios like these.
Learners will warm up by recapping how to find fractions and percentages of amounts, and how to share amounts into given ratios in Section A, by answering 9 quick questions.
Section B then consists of six problem-solving questions where the above skills are combined. Questions 5 and 6 are slightly different and require students to find a whole when given a fractional amount, and to find one part of a ratio when given another.
