St Crispin’s take 16 prizes in na­tional chal­lenge

Can you solve it?

The Wokingham Paper - - SCHOOLS -

PUPILS at St Crispin’s School achieved seven sil­ver and nine bronze cer­tifi­cates in this year’s UKMT Se­nior Maths Chal­lenge.

More than 82,000 pupils from across the UK re­turned scripts for the Se­nior Maths Chal­lenge with the top 10% re­ceiv­ing a gold cer­tifi­cate, the next 20% sil­ver and the next 30% bronze.

Ap­prox­i­mately 7,000 of the top stu­dents are in­vited to sit one of the fol­low-on com­pe­ti­tion, the BMO1 or the Se­nior Kan­ga­roo.

This in­cluded year 12 stu­dent Kieran Ko­htz, who also achieved recog­ni­tion for the best score in the school. The top per­former in year 13 was Tom Cor­nish.

The Se­nior Maths Chal­lenge is run by the UK Math­e­mat­ics Trust and is sup­ported by the Fac­ulty of Ac­tu­ar­ies.

A sam­ple ques­tion form this year’s Se­nior Maths Chal­lenge is:

The teenagers Sam and Jo no­tice the fol­low­ing facts about their ages:

The dif­fer­ence be­tween the squares of their ages is four times the sum of their ages.

The sum of their ages is eight times the dif­fer­ence be­tween their ages.

What is the age of the older of the two?

A. 15 B. 16 C. 17 D. 18 E. 19

From left: Mor­gan Hamshere, Do­minic Kelsey, Sam An­der­son-Peled, Kieran Ko­htz and Ben Box­all Be­low: Tom Cor­nish and Ca­trin Rose

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