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STEP Support Programme

STEP 3 Vectors


For the 2019 STEP specifications the vector content has been expanded to include the vector product and equations of planes in STEP 3. This module introduces you to these topics. This STEP 3 module consists of some old STEP questions, some topic notes and useful formulae, a "hints" document and a "solutions" document.

These questions are challenging, so don't worry if you get stuck. These STEP 3 modules assume that you have already begun to develop your problem-solving skills and approach to STEP questions by working on the Foundation modules and the STEP 2 modules.

About this assignment

There are a few old vector STEP questions on these topics, from before 2003. Some of these have been used in this assignment, and the rest can be found on the STEP database.

Assignment PDF: 

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)

Admissions Testing Service: Exam board information about STEP (external link)

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