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

If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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If the radius of a circle is 7 cm, what is its circumference?

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If 8x = 512, what is the value of x?

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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What is the HCF of 48 and 180?

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If sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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