Solution to SGC Maths Quest 4: Subtraction and a cryptarithm

St George’s College, Weybridge invited children from Years 5 and 6 at all local schools to take part in the fourth instalment of the SGC Maths Quest challenge.

Each Half Term, St George’s College provides a Maths problem for children from Years 5 and 6 to solve. All correct entries are displayed on the St George’s Weybridge website at www.stgeorgesweybridge.com

SGC Maths Quest Winners' Breakfast

All winners of the SGC Maths Quest throughout this year, along with their parents, are invited to the SGC Maths Quest Winners' Breakfast on Tuesday 27 June 2017 at St George's College, Weybridge. On arrival you will receive a buffet breakfast and have the opportunity to meet and greet some of the staff of the St George's College Maths department. An invite will be sent out to parents very shortly.

Here is the full list of winners from this year's SGC Maths Quest:

Emily Owen, Bishopsgate School

Blake Cooke, Year 5 at Bishopsgate School

Magdalena West, Year 5, St George’s Junior School Weybridge

Akhil Kapoor, Year 5 Hall Grove School, Bagshot

Katie Linn, Year 6, St. George's Junior School, Weybridge

Monty Nendick, Year 5, Claremont Fan Court School

Charlie Hampele, Year 5, Bishopsgate School

Matthew Thompson at St Nicholas Church of England School, Shepperton

Alice Aird (Year 5) - Coworth Flexlands School

Sophie Laithwaite - Coworth Flexlands School

Emily Gray - (Year 5) - Coworth Flexlands School

Minh Vu (5E) - Goldsworth Primary School

Zahra Ahmed - Bishopsgate School.

Abigail Currier - St George's Junior School

Charlotte Adrian - Coworth Flexlands School

Angelica (Year 5) - The Echelford Primary School

Josh (Year 5) - The Echelford Primary School

Jack (Year 5) - The Echelford Primary School

Mikky (Year 5) - The Echelford Primary School

Solution to SGC Maths Quest 4: Subtraction and a cryptarithm

Thank you to everyone who submitted answers. Well done to all of you who provided a solution, there were two correct solutions sent in, keep up the good work!

Below is a list of the winners and how each of them came up with the solution and solved the puzzle.

Emily Owen, Bishopsgate School.

Emily's solution:

PART A: P = 6, Q = 1, R = 9, S = 0 so P+Q+R+S = 16

PART B: Emily found seven solutions, where the word TWO represents:

765, 846, 938, 928, 734, 867, 938

Blake Cooke, Year 5 at Bishopsgate School.

Blake's solution:

PART A: P IS 6, Q IS 1, R IS 9, S IS 0

So the sum should be 8100-6092 = 2008

PART B: These are the answers that I have got:

846 +846 = 1692

836 +836 = 1672

867 + 867 = 1734

765+765 = 1530

734 + 734 = 1468

938 +938 = 1876

928 + 928 = 1856

I think I have found all the answers as I have tried each number for each letter and there are only a certain number of combinations and through doing my workings I came up with certain rules, which meant each letter could only be some of the numbers.

These were some of the rules I came up with:

RULES

F must be 1 because it is carried over from the hundreds column. No other letter can be 1.

R must be double O.

R must be an even number.

Well done to both winners!

That's it for this year's SGC Maths Quests, please look out for the start of the next series which will be published in September 2017.

Here is the original problem:

Download the full Maths Quest here.

18 April 2017

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