Description

Resource Description

The Reverse Percentages pack from Ansel Hill Academy is designed to demystify one of the trickier topics in commercial math. Unlike standard percentage calculations where you find a portion of a whole, this guide teaches the logic needed to work backward to the starting number.

What’s Inside This Resource?

• Clear Learning Objectives: The lesson focuses on understanding the concept, utilizing specific formulas, and solving real-life problems involving reverse percentages.

• Formula Breakdown: Explicit formulas are provided for two distinct cases:

  • Case 1: Finding the original value after a percentage increase (e.g., $Original Value = New Value / (1 + x/100)$).

  • Case 2: Finding the original value after a percentage decrease (e.g., $Original Value = New Value / (1 – x/100)$).

• Real-Life Worked Examples: Step-by-step solutions for everyday scenarios, including:

  • Calculating the original price of a jacket after a 15% markup.

  • Finding the pre-sale price of a laptop or TV.

  • Determining a salary before a 12% pay raise.

• Practice Problems Worksheet: A “Basic” level worksheet that challenges students to apply what they’ve learned to scenarios like finding the original price of a phone after a 10% increase or a dress after a 15% discount.

Why This Topic Matters:

Reverse percentages are crucial for shopping, finance, and salary calculations. This guide helps students distinguish between calculating a simple percentage of a number versus finding the original quantity before a loss or gain.

Ideal For:

• GCSE / Key Stage 4 Math Revision.

• Functional Skills Math.

• Home learning and classroom supplements.