S2 Mathematics: Rate, Ratio and Proportion

Which car is faster based on the information provided?

Car A takes less time than Car B to travel the same distance.

What is the distance Car A traveled in 1 hour?

Car B traveled _____ km in 1 hour.

Match the cars with their corresponding speeds:

What is the ratio of the number of boys to the number of girls in the school with 1750 students and 1000 boys?

If Andy has $800 and the total amount of money they have is $2800, Billy has $2000.

In a joint school Mathematics competition, if the ratio of male participants to female participants is 7:5 and there are 2870 male participants, how many female participants are there?

In a bag of 30 balls, if 12 are red, then the ratio of red balls to black balls is __.

Match the following scenarios with their corresponding ratios:

S2 Mathematics Rate, Ratio and Proportion Notes

Section 1: Rates
- A rate is a comparison of two quantities of different kinds by division.
- Rates are expressed using the '/'' symbol to denote 'per'.
- Examples of rates include speed (km/h), consumption (km/litre), production (toys/day).
Section 2: Ratio
- A ratio is a comparison of two or more quantities of the same kind.
- Ratios use the colon ':' symbol (e.g., 3:4)
- Ratios are dimensionless (no units).
Section 3: Continued Ratios
- A continued ratio compares three or more quantities of the same kind (e.g., x:y:z).
- Continued ratios can be simplified by multiplying or dividing all terms by a common factor.
Section 4: Proportions
- A proportion is an equation that states two ratios are equal.
- Proportions can be solved to find unknown values.
Section 5: Direct and Inverse Proportions
- Direct Proportion: When one quantity increases, the other increases by the same factor. The ratio of the quantities remains constant.
- Inverse Proportion: When one quantity increases, the other decreases by the same factor. The product of the quantities remains constant.
Section 6: Answers
- Contains answers to the exercises in the other sections. (These answers are not included in the summary)

This quiz covers essential concepts related to rates, ratios, and proportions in mathematics. Learn how to compare quantities, solve proportions, and understand the distinctions between direct and inverse proportions. Test your knowledge on practical examples and mathematical principles.