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GSCE Mathematics Problem Solving Algebra Higher Tier

In this algebra problem, we need to determine the length of x given that the perimeter of a shape is 54 cm. The equation set-up involves calculating the contributions of different sides. By forming equations from the lengths expressed with x, we simplify and solve the equation to find the value. This example illustrates typical GCSE mathematics problem-solving techniques for the higher tier, focusing on algebra and perimeter calculations. Use this guide to enhance your understanding and performance in exam situations.

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GSCE Mathematics Problem Solving Algebra Higher Tier

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  1. GSCE Mathematics Problem Solving Algebra Higher Tier

  2. x x - 5 Helping hand x - 2 The perimeter of the shape is 54 cm , what length is x ?

  3. Answer Side+ Side= 2x Sixhorizontals= 2(x – 2) = 2x – 4 Inside verticals = 2 ( x – (x-5) ) = 10 2x + 2x – 4 + 10 = 54 4x + 6 = 54 4x = 48 x = 12 cm

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