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Exam-Style Questions.Problems adapted from questions set for previous Mathematics exams. |
1. | GCSE Higher |
The diagram shows an isosceles triangle (not drawn to scale).
Angle ABC = angle ACB, AB = \(3x+8\) and AC = \(5x-7\).
Use an algebraic method to find the value of \(x\).
3. | GCSE Higher |
Two rectangles, not drawn to scale, are shown below. All measurements are in centimetres. Both rectangles have the same areas. Work out the perimeter of the rectangle on the left.
4. | GCSE Higher |
(a) Simplify \( \left(\dfrac{3a}{a^3 - 3}\right)^0 \)
(b) Simplify \( \dfrac{9(2b-1)}{(2b-1)^2}\)
(c) Simplify \( (2c^3d^4)^5 \)
5. | GCSE Higher |
Expand and simplify the following expression:
$$ (2x^2 + 3)(4x - 5) - 8x(x^2 - 7) $$If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged.
The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.
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