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STEP Support Programme

Trigonometry

91-S2-Q4

Sum, quadratic equation, cosine function.

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[STEP II 1991 Question 4 (Pure)]

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91-S1-Q1

Cubic equation.

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[STEP I 1991 Question 1 (Pure)]

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90-S3-Q4

Sum of trigonometric functions, cosine, binomial coefficient.

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[STEP III 1990 Question 4 (Pure)]

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90-S2-Q2

Sine function, circle, geometry.

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[STEP II 1990 Question 2 (Pure)]

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88-S3-Q6

Differentiation, sine and cosine function, approximation.

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[STEP III 1988 Question 6 (Pure)]

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88-S2-Q5

Complex numbers, de Moivre's theorem, imaginary part, tan, product.

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[STEP II 1988 Question 5 (Pure)]

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87-S2-Q2

Sine function, angles, identity, quartic, quadratic.

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[STEP II 1987 Question 2 (Pure)]

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87-S1-Q7

Sum, finite sine series, tangent.

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[STEP I 1987 Question 7 (Pure)]

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Spec-S3-Q5

Curve sketching, non-zero solutions, small approximations, sine function, interval.

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[STEP III Specimen Question 5 (Pure)]

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Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)