Word Problem Types/Sort

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What is a Ratio?

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A ratio is a comparison of two quantities that shows how many times one value contains or is contained within the other. For example, if there are 2 trucks for every 5 cars, the ratio of trucks to cars is 2:5.

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What is Proportion?

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A proportion is an equation that states that two ratios are equal. For example, if 2 trucks correspond to 5 cars, then 4 trucks correspond to 10 cars, showing a proportional relationship.

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What are Equal Groups?

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Equal groups refer to a situation where items are divided into groups that have the same number of items. For example, if 44 nails are distributed equally among 4 houses, each house gets the same number of nails.

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What does 'Times as Many' mean?

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'Times as many' indicates a multiplication relationship between two quantities. For example, if Hailey eats 3 Oreos every 2 days, after 10 days, she will have eaten 15 Oreos, which is 5 times as many.

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What is the Difference in mathematics?

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The difference is the result of subtracting one number from another. For example, if Diana weighs 54 2/3 pounds and is 3 1/5 pounds less than Theresa, the difference helps find Theresa's weight.

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What does 'Change: Join/More' mean?

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'Change: Join/More' refers to a situation where a quantity increases. For example, if you add more cars to a parking lot, the total number of cars increases.

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What does 'Change: Separate/Less' mean?

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'Change: Separate/Less' refers to a situation where a quantity decreases. For example, if Diana loses weight, her new weight is less than her previous weight.

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What is a Part-Part-Whole relationship?

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A Part-Part-Whole relationship shows how parts combine to form a whole. For example, if there are 2 trucks and 5 cars, together they make a total of 7 vehicles.

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What is a Total in mathematics?

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The total is the sum of all parts or quantities. For example, if there are 60 cars and 2 trucks, the total number of vehicles is 62.

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What is a Set in mathematics?

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A set is a collection of distinct objects, considered as an object in its own right. For example, a set of nails can be represented as {nail1, nail2, nail3,...}.