UKMT Senior Maths Challenge certificate winners announced

The UKMT Senior Maths Challenge on 11th Nov involved 76 students of our sixth form mathematicians (Maths - 28/11/2021)

Five of our students earned a gold certificate. This included Jaden with the top score, just missing out on Olympiad qualification, and Tseden and Will who had both earned certificates in the 2020 competition too. Amenah took part in the competition for the first time this year also achieving a gold certificate. Our final gold winner was Bogdan from year 12 who has been impressing his teachers all term with his great intuitive maths skills. These five all qualify to take part in the UKMT follow on kangaroo competition this coming Thursday. Fifteen students earned silver certificates this year, including three year 12 students participating for the first time Zac, Poww and Stephanie. Twenty six students earned bronze certificates.

Here's question 13 from this year's paper (remember that the challenge must be completed without the use of a calculator:

Which of these is the mean of the other four?

A √ 2 B √ 18 C √ 200 D √ 32 E √ 8

HINT - ALL OF THESE NUMBERS CAN BE WRITTEN AS MULTIPLES OF √ 2

And here is question 24

Saba, Rayan and Derin are cooperating to complete a task. They each work at a constant rate independent of whoever else is working on the task. When all three work together, it takes 5 minutes to complete the task. When Saba is working with Derin, the task takes 7 minutes to complete. When Rayan is working with Derin, the task takes 15 minutes to complete. How many minutes does it take for Derin to complete the task on his own?

A 21 B 28 C 35 D 48 E 105