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What is a ratio?
What is a ratio?
A ratio is a way of comparing two or more similar quantities.
How are ratios written?
How are ratios written?
Ratios are written using whole numbers separated by colons, with no units.
What is the ratio of the length of a 1m model boat to a 25m actual boat?
What is the ratio of the length of a 1m model boat to a 25m actual boat?
1:25
In order to master the techniques explained in this text, it is vital that you undertake plenty of ______ exercises.
In order to master the techniques explained in this text, it is vital that you undertake plenty of ______ exercises.
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Which of the following can you do after reading this text?
Which of the following can you do after reading this text?
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If a model boat is 1m long and the real boat is 25m long, what is the ratio of the length of the model to the actual boat?
If a model boat is 1m long and the real boat is 25m long, what is the ratio of the length of the model to the actual boat?
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What does a colon (:) represent in a ratio?
What does a colon (:) represent in a ratio?
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What is mortar for building a brick wall made of, in terms of its ratio?
What is mortar for building a brick wall made of, in terms of its ratio?
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What is the ratio of 4 oz flour and 2 oz fat in its simplest form?
What is the ratio of 4 oz flour and 2 oz fat in its simplest form?
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What is the simplest form of the ratio 250:150?
What is the simplest form of the ratio 250:150?
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Ratios are normally expressed using decimal numbers.
Ratios are normally expressed using decimal numbers.
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In a ratio, the units used for the numbers must be the same. If they are not, they should be converted to [blank] units.
In a ratio, the units used for the numbers must be the same. If they are not, they should be converted to [blank] units.
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A ratio is a way of comparing two or more ______ quantities.
A ratio is a way of comparing two or more ______ quantities.
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Which of the following is a key point about ratios?
Which of the following is a key point about ratios?
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The ratio of girls to boys in a class is 15:12. What is the ratio in its simplest form?
The ratio of girls to boys in a class is 15:12. What is the ratio in its simplest form?
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If Anna has 75 pence and Rashid has £1.20, what is the ratio of Rashid's money to Anna's money, in its simplest form?
If Anna has 75 pence and Rashid has £1.20, what is the ratio of Rashid's money to Anna's money, in its simplest form?
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What is the total number of parts in the ratio 3:2:1?
What is the total number of parts in the ratio 3:2:1?
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If a total of 12 m³ of concrete is divided into 6 parts according to a ratio, how much concrete does each part represent?
If a total of 12 m³ of concrete is divided into 6 parts according to a ratio, how much concrete does each part represent?
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If 1 part in a ratio represents 2 m³, and gravel makes up 3 parts in the ratio, how much gravel is needed?
If 1 part in a ratio represents 2 m³, and gravel makes up 3 parts in the ratio, how much gravel is needed?
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What is the ratio of gravel, sand, and cement in the concrete mixture?
What is the ratio of gravel, sand, and cement in the concrete mixture?
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If we have 6 m³ of sand and an unlimited amount of the other ingredients, how much concrete can be made?
If we have 6 m³ of sand and an unlimited amount of the other ingredients, how much concrete can be made?
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What is the ratio of garlic, chick peas, olive oil, and tahini paste for a houmous recipe for 6 people?
What is the ratio of garlic, chick peas, olive oil, and tahini paste for a houmous recipe for 6 people?
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If a houmous recipe for 6 people is scaled down for one person by dividing each number by 6, what is the new ratio for one person?
If a houmous recipe for 6 people is scaled down for one person by dividing each number by 6, what is the new ratio for one person?
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If the ratio for one person is scaled up by multiplying each number by 9, what is the new ratio for 9 people?
If the ratio for one person is scaled up by multiplying each number by 9, what is the new ratio for 9 people?
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What is the value of 1 euro in pence if 1.65 euros is worth £1?
What is the value of 1 euro in pence if 1.65 euros is worth £1?
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What is the value of 50 euros in pence?
What is the value of 50 euros in pence?
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What is the value of 50 euros in pounds, to the nearest penny?
What is the value of 50 euros in pounds, to the nearest penny?
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What is the actual distance between two points X and Y if the distance on a map is 8.5 cm and the map scale is 1:20,000?
What is the actual distance between two points X and Y if the distance on a map is 8.5 cm and the map scale is 1:20,000?
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What is the length of a living room on a scale drawing if its actual length is 13.7 meters and the scale is 1:100?
What is the length of a living room on a scale drawing if its actual length is 13.7 meters and the scale is 1:100?
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If 300 grams of minced beef are needed for a lasagna serving 5 people, how much minced beef is needed for 9 people?
If 300 grams of minced beef are needed for a lasagna serving 5 people, how much minced beef is needed for 9 people?
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There are 28 boys in a youth club where the ratio of boys to girls is 4:5. How many girls are there in the club?
There are 28 boys in a youth club where the ratio of boys to girls is 4:5. How many girls are there in the club?
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What is the value of 20 pounds in euros if 1 pound is worth 1.65 euros?
What is the value of 20 pounds in euros if 1 pound is worth 1.65 euros?
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What is the value of 60 euros in pounds, to the nearest penny, if 1.65 euros is worth 1 pound?
What is the value of 60 euros in pounds, to the nearest penny, if 1.65 euros is worth 1 pound?
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If £150 is divided between Betty and Liz in the ratio of their ages, 12 years old and 3 years old, how much does each of them get?
If £150 is divided between Betty and Liz in the ratio of their ages, 12 years old and 3 years old, how much does each of them get?
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How do you divide 360° into three angles in the ratio 1:2:3?
How do you divide 360° into three angles in the ratio 1:2:3?
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How much water is there in 5 kg of copper sulphate if it's made of 32 parts copper, 16 parts sulfur, 32 parts oxygen, and 48 parts water by weight?
How much water is there in 5 kg of copper sulphate if it's made of 32 parts copper, 16 parts sulfur, 32 parts oxygen, and 48 parts water by weight?
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How much copper sulphate can be made with 96 kg of copper assuming an unlimited supply of the other ingredients, if it's made of 32 parts copper, 16 parts sulfur, 32 parts oxygen, and 48 parts water by weight?
How much copper sulphate can be made with 96 kg of copper assuming an unlimited supply of the other ingredients, if it's made of 32 parts copper, 16 parts sulfur, 32 parts oxygen, and 48 parts water by weight?
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If Robert wants to make 12 rock cakes, how much margarine does he need, if the recipe for 18 rock cakes calls for 6 oz of margarine?
If Robert wants to make 12 rock cakes, how much margarine does he need, if the recipe for 18 rock cakes calls for 6 oz of margarine?
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If Jenny has only 9 oz of sugar and plenty of the other ingredients, what is the greatest number of rock cakes she can make if the recipe for 18 rock cakes calls for 6 oz of sugar?
If Jenny has only 9 oz of sugar and plenty of the other ingredients, what is the greatest number of rock cakes she can make if the recipe for 18 rock cakes calls for 6 oz of sugar?
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Study Notes
Ratios
- A ratio is a way to compare two or more similar quantities.
- Ratios are written using whole numbers, separated by colons.
- Units are not included in ratios.
- Ratios are used in various applications, including comparing costs, weights, sizes, and other similar quantities.
- Ratios can be simplified by dividing both numbers by a common factor.
- Ratios should use the same units. Convert to the same units if necessary.
Simplifying Ratios
- Simplify ratios by dividing both numbers by their greatest common factor.
- This results in an equivalent ratio in its simplest form.
Sharing Quantities Using Ratios
- Ratios can be used to divide quantities proportionally.
- To find the amount each part receives, divide the total quantity by the sum of the parts in the ratio, then multiply the result by the number of parts for each share.
- Amounts must be in the same unit before calculation.
Key Points
- A ratio is a way to compare similar quantities.
- Use whole numbers in ratios.
- Use the same units when comparing quantities in a ratio.
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Description
This quiz covers the concept of ratios, focusing on how to compare similar quantities using whole numbers. It also includes methods for simplifying ratios and dividing quantities proportionally. Test your knowledge on these fundamental mathematical skills and their practical uses.
