Year 10 - Maths
Problem solving with percentages
Percentages
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will learn how to perform simple and compound interest calculations using percentages.
Lesson Summary
You will learn to use your knowledge of percentages to solve problems.
Key Notes
- A context can be evaluated to determine what sort of percentage calculation is involved.
- As percentages can be written as fractions and decimals, they are very versatile.
- Percentage change is not just connected to money.
Vocabulary To Learn
- Simple interest: Simple interest is always calculated on the original amount.
- Compound interest: Compound interest is the interest calculated on the original amount and the interest accumulated over the previous period.
- Exponential form: When a number is multiplied by itself multiple times, it can be written more simply in exponential form.
Common Mistakes To Avoid
- Assuming that an increase of 10% followed by a decrease of 10% takes you back to 100%, etc.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A context can be evaluated to determine what sort of percentage calculation is involved. As percentages can be written as fractions and decimals, they are very versatile.
2. Use this key word in a maths sentence and explain it clearly. 'Simple interest'
Simple interest is always calculated on the original amount. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Assuming that an increase of 10% followed by a decrease of 10% takes you back to 100%, etc. Correction: Provide plenty of examples to illustrate the structure of what happens. If you increase a number by a percentage the number will increase meaning that you will be finding 10% of a larger number and hence decrease by more.
More Lessons In This Unit
- Advanced problem solving with percentages Study Guide
- Calculating compound interest rates Study Guide
- Changing compound interest rates Study Guide
- Checking and securing understanding of finding a percentage Study Guide
- Checking and securing understanding of percentage decrease Study Guide
- Checking and securing understanding of percentage increase Study Guide
- Compound interest calculations Study Guide
- Compound interest calculations with technology Study Guide
- Percentage profit and loss Study Guide
- Simple and compound interest Study Guide
- Simple interest calculations Study Guide
- Simple interest calculations with technology Study Guide
Browse all guides in the Year 10 Maths guide library.