Maths · Topic 1: Year 10
Fractions, ratio and percentages
Calculating with fractions and mixed numbers, ratio and proportion, percentages with multipliers, reverse percentages and compound interest, and moving between fractions, decimals and percentages.
Lessons
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1
Fractions
Adding, subtracting, multiplying and dividing fractions and mixed numbers, finding fractions of amounts, and working back to the whole - the fraction skills…
6 terms -
2
Ratios
A ratio compares the sizes of two or more amounts. Simplifying ratios, writing them as fractions and sharing amounts in a given ratio all come down to one idea…
4 terms -
3
Ratio and proportion
When two quantities are in proportion, knowing one tells you the other. Recipes, best buys and currency are direct proportion; more workers finishing a job…
5 terms -
4
Percentages
Multipliers turn every percentage question into one multiplication - increases, decreases, percentage change, finding the original price and interest that…
7 terms -
5
Fractions, decimals and percentages
The same amount can be written three ways. Moving between fractions, decimals and percentages lets you compare and order anything - and at Higher, turn a…
4 terms
Downloads
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- Fractions.pptx Built from the lesson script on 29 September 2026. View
- Fractions - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 29 September 2026. View
- Fractions - Exam Questions.docx Built from the lesson script on 29 September 2026. View
- Ratios.pptx Built from the lesson script on 29 September 2026. View
- Ratios - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 29 September 2026. View
- Ratios - Exam Questions.docx Built from the lesson script on 29 September 2026. View
- Ratio and proportion.pptx Built from the lesson script on 29 September 2026. View
- Ratio and proportion - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 29 September 2026. View
- Ratio and proportion - Exam Questions.docx Built from the lesson script on 29 September 2026. View
- Percentages.pptx Built from the lesson script on 29 September 2026. View
- Percentages - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 29 September 2026. View
- Percentages - Exam Questions.docx Built from the lesson script on 29 September 2026. View
- Fractions decimals and percentages.pptx Built from the lesson script on 29 September 2026. View
- Fractions decimals and percentages - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 29 September 2026. View
- Fractions decimals and percentages - Exam Questions.docx Built from the lesson script on 29 September 2026. View
Key terms in this chapter
All 26, gathered from every lesson.
- Numerator
- The top number of a fraction.
- Denominator
- The bottom number of a fraction.
- Improper fraction
- A fraction whose numerator is bigger than its denominator, e.g. \(\frac{7}{3}\).
- Mixed number
- A whole number and a fraction, e.g. \(2\frac{1}{3}\).
- Reciprocal
- 1 divided by a number; for a fraction, the fraction flipped.
- Common denominator
- A denominator shared by two fractions, so they can be added or subtracted.
- Ratio
- A comparison of the sizes of two or more quantities.
- Simplest form
- A ratio whose parts have no common factor other than 1.
- Part
- One share of a ratio; the total number of parts is the sum of the ratio.
- Unit ratio
- A ratio written with one part equal to 1, such as \(1 : n\).
- Direct proportion
- Two quantities that increase at the same rate; their ratio stays the same.
- Inverse proportion
- As one quantity increases, the other decreases; their product stays the same.
- Unitary method
- Finding the value of one item first, then scaling up.
- Exchange rate
- How much of one currency you get for one unit of another.
- Best buy
- The option that gives the most for your money.
- Percentage
- A number out of 100.
- Multiplier
- The number you multiply by to make a percentage change, e.g. 1.15 for a 15% increase.
- Percentage change
- \(\dfrac{\text{change}}{\text{original}} \times 100\).
- Reverse percentage
- Finding the original amount from the amount after a change.
- Simple interest
- Interest worked out on the original amount only.
- Compound interest
- Interest added to the total, so later interest is on a bigger amount.
- Depreciation
- A loss in value over time.
- Terminating decimal
- A decimal that stops, e.g. 0.375.
- Recurring decimal
- A decimal in which a digit or group of digits repeats for ever.
- Dot notation
- Dots above digits to show which digits recur.
- Equivalent
- Equal in value, though written differently.