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STEP Support Programme

Q2 Curve sketching S2

How do you know that the curve has rotational symmetry of 2 around the inflection point, apart from it being implied for the last result to be correct? Would you have to show that it does in the exam, or could you just state it?

In this case, you could just state the symmetry (just make sure your sketch looks like it does actually have this rotational symmetry).

All cubics have rotational symmetry (see: https://nrich.maths.org/431/solution), but you would not be expected to prove this in the exam.

Hadn't known all cubics have rotational symmetry thanks for the website link explaining it

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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)