Price Detective

This worksheet brings missing-whole percent problems into shopping by asking students to find an item’s original price from a known discount amount and discount percentage. Students work with examples such as a $15 discount that represents 25% of the original price or a $24 discount that represents 40%, then divide the discount amount by the percent as a decimal to uncover the starting price. The activity strengthens percent equations, money math, division, decimals, proportional reasoning, and financial literacy while showing students how the “whole” can represent an original price. It is especially useful for grades 5-6 students who know the missing-whole formula and are ready to use it in realistic financial situations.

Key Learning Objectives

• Recognize the Discount as the Part: Students identify the amount saved as only a portion of the original price.
• Find the Original Price: Learners use Original Price = Discount ÷ Discount Percent.
• Connect Percents With Money: Students see how percentages describe real price reductions in stores.
• Check for Reasonableness: Learners understand that a discount below 100% must be smaller than the original price.

Educational Value

• Makes Percent Math Practical: Sales and discounts give students an immediate reason to care about finding the whole.
• Parent-Friendly Discussion: Ask, “If $15 is only 25% of the price, what full price would make that true?”
• Builds Financial-Math Readiness: The worksheet prepares students for discounts, markups, tax, tips, and sale-price problems.
• Encourages Multiple Strategies: Students can use division, fraction reasoning, or familiar percent benchmarks.
• Works Across Settings: The page fits well into homework, financial-literacy lessons, review, centers, or homeschool practice.

This worksheet helps students see that “finding the whole” can mean finding an original amount before a percent change happened. Discounts, percentages, original prices, division, decimals, and number sense all work together as students solve each shopping situation. For parents, a $15 discount at 25% can be reasoned through as “$15 is one-fourth of the original price,” so the full price must be $60. That concrete connection makes the math easier to understand than memorizing a formula alone. In classroom and homeschool settings, this activity strengthens percent reasoning while building useful financial literacy.