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Mathematics in Education and Industry (MEI)

MEI is committed to improving mathematics education and promotes teaching and learning through different strands of activity. We support teachers through a range of professional development opportunities, including our annual conference. Innovative resources are continually being developed to extend and enrich your knowledge of mathematics, whether teacher, student, undergraduate or member of the workforce.

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Maths Item of the Month

October 2018
Ritangle competition

Ritangle logo

Ritangle is a competition for teams of students of A level Mathematics, the International Baccalaureate and Scottish Highers: integralmaths.org/ritangle. The first five questions will be released on 1st, 8th, 15th, 22nd, 29th October 2018. Correct answers to these questions release a clue for the final question.

Question 1

How many 8 digit numbers are there that are both:
a) divisible by 18
and
b) such that every digit is a 1 or a 2 or a 3?

Question 2

In this question a > 0.
The line y = 3ax and the curve y = x2 + 2a2 enclose an area of size a.
What is the value of a?

Question 3

Let f(x) = 10x2 + 100x + 10.
Suppose f(a) = b and f(b) = a.
Given that ab, what is f(a + b)?

Please don’t share answers outside your team, others are having fun finding them!

Maths item of the month archive

A list of Maths Items of the Month categorised by GCSE/A level topics can be seen at: Maths Items of the Month Curriculum mapping.