Two Numbers

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Topics: Starter | Arithmetic | Number Patterns | Simultaneous Equations

Mr Jankowski, Haydock Sports College
Tuesday, November 11, 2008
"Very nice as it can be used to lead into factorising quadratics."
Matt Robey, Brighton Hill School
Wednesday, December 03, 2008
"This was really easy. I got the last one on the first guess!"
Chris And Phillip, Swansea
Thursday, December 03, 2009
"The first question is really easy and can be spotted quite quickly.
The third question always has to be an even number multiplied by a number ending in 0.5
chow."
Mr Spanion, Ejs
Wednesday, December 23, 2009
"I thought it was brilliant."
Mr M Shepherd, St Lawrence Academy, Scunthorpe
Friday, December 09, 2011
"Easiest way to solve these we found was to double the "sum" number. This means that both the two original numbers have doubled so we need to multiply the product number by 4. This gave us all whole numbers to deal with. Once solved, half both the numbers.
(Prime factor breakdown is the best way to look at combinations systematically if needed to, although most of year 8 relied on trial and error to find the abswer once they'd found the whole numbers)."

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This starter has scored a mean of 3.6 out of 5 based on 58 votes.

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Answers

Find two numbers whose sum is 16 and product is 60.

6 and 10

Find two numbers whose sum is 28 and product is 180.

10 and 18

Find two numbers whose sum is 21.5 and product is 114.

12 and 9.5

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