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STEP Support Programme

Assignment 6 and follow up for Assignment 5

Hi - these two are now published. Do please use the forum if you have any questions on any of the assignments.

Question 4ii on Assignment 6 is an interesting one - it shows that, even when you have a "very accurate" blood test, the chances of you having a disease if you test positive for it can be quite low.

Have fun!

Picture 10 dots: ..........

How many different ways could you cover four of the dots with vertical lines, eg: .|..|.|.|.

Why does this give the right answer? How could you use this to figure out the number of five digit numbers that sum to other totals? Are there any totals this approach wouldn't work for?

I think I need to think a bit harder about this...

For the number of five digit numbers that add to 43, how many different ways can we cover up 6 dots ...... with 4 vertical lines (eg ||.|.| represents 99889). 6C4 = 15.

Hi I'm really struggling with part 4ii of Assignment 6 - I keep getting 9.9/11.7 as the probability - I can't seem to see why that's wrong

No worries - problem now sorted

:-)

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)