Topic Details (Notes format)

How to Solve Word Problems in Math

Subject: Mathematics

Book: Maths Mastery

Word problems demand translating textual descriptions into equations or logical steps. A systematic approach involves reading carefully to identify known and unknown quantities, assigning variables, and creating a suitable equation. For instance, “Tom has 3 apples more than twice what Mary has” can be set up as T = 2M + 3. Solve the equation, interpret the result, and verify if it makes sense contextually. Practicing real-world scenarios—like rate-time-distance, mixture, or financial problems—builds problem-solving confidence and an ability to convert complexities into workable math solutions.

Practice Questions

What is the sum of the interior angles of a hexagon?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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A number is increased by 20% and then decreased by 20%. What is the net change?

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What is the sum of the first 20 odd numbers?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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The probability of rolling a sum of 7 with two dice is:

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What is the value of x if log(x) + log(4) = log(32)?

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A sphere has a radius of 7 cm. What is its volume?

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