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Maths Item of the Month

October 2017
Ritangle competition

Ritangle logo

Preliminary question A

The 7-digit number 3211000 is called self-descriptive since it contains three 0s, two 1s, one 2, one 3, zero 4s, zero 5s and zero 6s.

Find the two smallest self-descriptive numbers and add them together.

Preliminary question B

You are given nine rods of lengths 6, 7, 8, 10, 15, 17, 24, 25 and 26. You pick three at random. p is the probability that you can form a triangle with your rods. The choice (6,7,26) is a fail and so is (7, 10, 17). In addition, q is the probability that your three rods make a right-angle triangle.

What is q/p? Multiply your answer by 1000 and round to the nearest integer.

Please don’t share answers outside your team, others are having fun finding them! Main competition starts on 9th November: integralmaths.org/ritangle

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.