Wow, way to ask a non-specific question! I'm assuming the kids will get points for any two numbers that have a product of 120, though. Otherwise that's just cruel.
I specifically said I was only dealing in integers.
That's also quite hard for a KS2 child - they only really seem to have started multiplication tables by then. I'm not sure I could have done that at 6 or 7 cos we didn't do tables properly till I was about 8 when I crunched through them rapidly and got my stupid certificate out of the way.
Yeah, I wanted to avoid biasing answers. I'll post something about the answers tomorrow or so, but the first five people asked 'in real life' here gave five different (correct) answers.
I was expecting Paul to say something like '120 pi and 1 / pi' :)
(1,120),(2,60),(3,40),(4,30),(5,24),(6,20),(8,15),(10,12) are the positive integers. While (-1,-120),(-2,-60),(-3,-40),(-4,-30),(-5,-24),(-6,-20),(-8,-15),(-10,-12) are the negative integer solutions, also (x,120/x) where x is a rational number, also irrational solutions such as (120^1/2,120^1/2), also transcendental numbers such as (Pi, 120/Pi),(e,120/e). also complex numbers, such as (120i, -i).
I suppose the most general answer would be something like (x, 120/x) where x is a complex number a +bi where a and b are real numbers and a+bi <> 0. But this does seem a bot beyond the comprehension of most 5-6 yeat olds.
I had 30x40 as one but knew it looked too big and had to do it on paper :) I got 10x12 ok at once. I think that was the expected answer if they do tables. Ten times table is one of the first you learn, isn't it?
I'm not sure they do 10x as a formal table, but yes, it's an early one although there are some children in te age range who won't have done much wth numbers greater than a 100 yet.
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I specifically said I was only dealing in integers.
That's also quite hard for a KS2 child - they only really seem to have started multiplication tables by then. I'm not sure I could have done that at 6 or 7 cos we didn't do tables properly till I was about 8 when I crunched through them rapidly and got my stupid certificate out of the way.
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I was expecting Paul to say something like '120 pi and 1 / pi' :)
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I definitely want to see what the mathmos answered and see if my poor little brain can make sense of it without going *boom*.
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While (-1,-120),(-2,-60),(-3,-40),(-4,-30),(-5,-24),(-6,-20),(-8,-15),(-10,-12) are the negative integer solutions,
also (x,120/x) where x is a rational number,
also irrational solutions such as (120^1/2,120^1/2),
also transcendental numbers such as (Pi, 120/Pi),(e,120/e).
also complex numbers, such as (120i, -i).
I suppose the most general answer would be something like (x, 120/x) where x is a complex number a +bi where a and b are real numbers and a+bi <> 0. But this does seem a bot beyond the comprehension of most 5-6 yeat olds.
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But then I'm not 6
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I'm not sure they do 10x as a formal table, but yes, it's an early one although there are some children in te age range who won't have done much wth numbers greater than a 100 yet.