O-LevelAdditional MathematicsIndices and surds4037/11 · May/June 2013 · Q211 Mark

Calculators must not be used in this question. The diagram shows a triangle ABC in which angle A = 90°. Sides AB and AC are √5 – 2 and √5+ 1 respectively. Find tan B in the form a + b√5, where a and b are integers.

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A3 + 5√5

B7 + 3√5

C7 + √5

D5 + 7√5

✓ Correct answer

B: 7 + 3√5

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Topic: Indices and surds, O-Level Additional Mathematics (syllabus 4037). Multiple choice, 1 mark.
Source: O-Level Additional Mathematics, May/June 2013 Paper 1 Variant 1, question 21.

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