Introduction to Ratios

Courses Overview

🎬 Video Tutorial

  • (0:01) What Does Ratio Mean (Definition): Ratios compare two or more quantities, showing their relative sizes. The order of numbers in a ratio matters, e.g., 2:3 is different from 3:2.
  • (0:34) How to Work Out Ratios and Amounts: To split an amount like Β£200 in a 7:3 ratio, divide the total by the sum of parts, then multiply by each ratio part to find individual shares.
  • (2:13) Simplifying Ratios: Simplify ratios by dividing all parts by their common factors, e.g., 24:40 simplifies to 3:5, making it easier to interpret.
  • (2:46) Expanding Ratios: Expand ratios by multiplying each part by the same number, e.g., expanding 3:7 by 5 results in 15:35.

πŸ“‚ Revision Cards

Illustration for ratios with 2 apples and 3 bananas as an example. The ratio of apples to bananas is 2:3, and the ratio of bananas to apples is 3:2.
1) Ratios
Ratio calculation showing flour to sugar ratio of 5:2 with a worked example of 300 g of flour, determining that 120 g of sugar is needed.
2) Calculating with Ratios part 1
An example of sharing Β£200 in the ratio 7:3, total parts calculated as 10, each part worth Β£20. One person receives Β£140, the other receives Β£60.
3) Calculating with Ratios part 2
Simplifying the ratio 24:40 by dividing both terms to get 3:5 and expanding the ratio 3:7 by multiplying both terms to get 15:35.
4) Simplifying and Expanding Ratios

πŸͺ Quiz Time - Practice Now!

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Fractions and Ratios

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Q: Simplify the ratio 18:24 to its simplest form.

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Q: If the ratio of apples to oranges is 3:5, how would you write the ratio of oranges to apples?

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Q: If Β£300 is split between two people in a ratio of 3:2, how much does the first person receive?

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Q: The ratio of pencils to pens in a box is 5:3. If there are 40 items in total, how many pencils are there?

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Q: The ratio of red to blue marbles is 4:5. If there are 36 red marbles, how many blue marbles are there?

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Q: The ratio of adults to children at an event is 5:3. If there are 150 adults, how many people are there in total?

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