Podcast
Questions and Answers
Which car is faster based on the information provided?
Which car is faster based on the information provided?
- Both cars are equal
- Car B (correct)
- Cannot determine the speed
- Car A
Car A takes less time than Car B to travel the same distance.
Car A takes less time than Car B to travel the same distance.
False (B)
What is the distance Car A traveled in 1 hour?
What is the distance Car A traveled in 1 hour?
80 km
Car B traveled _____ km in 1 hour.
Car B traveled _____ km in 1 hour.
Match the cars with their corresponding speeds:
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?
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.
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 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 __.
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:
Match the following scenarios with their corresponding ratios:
Flashcards
Rate
Rate
A rate compares two quantities with different units.
Comparing Speeds using Rate
Comparing Speeds using Rate
To compare the speed of two cars with different travel times, we calculate their speeds per hour. This helps us determine which car is faster by comparing their rates.
Rate as a Fraction
Rate as a Fraction
A rate is commonly expressed as a fraction where the numerator and denominator have different units. For example, 80 km / 1 hour.
Understanding Rate
Understanding Rate
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Applications of Rate
Applications of Rate
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What is a ratio?
What is a ratio?
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What is a proportion?
What is a proportion?
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What is the key difference between ratio and proportion?
What is the key difference between ratio and proportion?
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How can we simplify a ratio?
How can we simplify a ratio?
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How can we find a quantity using a ratio?
How can we find a quantity using a ratio?
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Study Notes
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)
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