Proportions Online Quiz

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The concept of proportions is very easy if there was a solid practice on the topic of fractions. Proportions have the usual form of 2:3::4:6 for example and it can be easily noticed that it consists of two fractions on either side of the symbol:: . In the quiz, every question has set of proportions given and one of the numbers is missing. It is the duty of the child to find out what is that missing number using the concepts of relationships in proportions and there is little bit need of algebra solving techniques to arrive at the solution. The proportion concept is very important in calculating interests in the bank domains.

Concept of proportions

Proportions are a mathematical concept that express the relationship between two or more quantities. In other words, they describe how one quantity is related to another in terms of size or amount. Proportions can be expressed as a ratio, such as 3:2, or as a fraction, such as 3/2. The concept of proportions is used in many different fields, including mathematics, science, and engineering, to describe and compare the sizes or amounts of different quantities.

One common use of proportions is to express the relationship between two quantities that are in direct proportion to each other. This means that as one quantity increases, the other also increases, and vice versa. For example, the number of hours that a person works may be directly proportional to the amount of money that they earn. If a person works 10 hours, they may earn $100, but if they work 20 hours, they may earn $200. In this case, the proportionality can be expressed as a ratio, such as 10:100 or 20:200, or as a fraction, such as 10/100 or 20/200.

Proportions can also be used to express the relationship between two quantities that are in inverse proportion to each other. This means that as one quantity increases, the other decreases, and vice versa. For example, the speed of a car may be inversely proportional to the time it takes to travel a certain distance. If a car travels at a speed of 50 miles per hour, it may take 2 hours to travel 100 miles. If the car increases its speed to 75 miles per hour, it will take less time to travel the same distance, such as 1.5 hours. In this case, the proportionality can be expressed as a ratio, such as 50:2 or 75:1.5, or as a fraction, such as 50/2 or 75/1.5.

Proportions can also be used to solve problems, such as finding missing values in a given set of quantities. This is done by setting up a proportion and solving for the unknown value. For example, if it is known that the ratio of apples to oranges is 3:4, and there are 12 apples, the number of oranges can be found by setting up the proportion 3/4 = 12/x and solving for x. In this case, x = 16, so there are 16 oranges.

Proportions are also used in geometry to describe the relationship between the sides and angles of similar figures. Two figures are considered similar if they have the same shape, but not necessarily the same size. If two figures are similar, the ratios of their corresponding sides are equal, and the angles between these sides are also equal. This can be used to find missing values in similar figures, such as the length of a missing side in a triangle.

In summary, proportions are a mathematical concept that describe the relationship between two or more quantities. They can be expressed as a ratio or a fraction, and are used to compare the sizes or amounts of different quantities, solve problems, and describe the relationship between the sides and angles of similar figures.