Of course, that should work, but is probably harder to visualise. I tried to get to the big number from the two middle-sized ones, which seemed easiest.
I will point out that there are many legitimate ways to extrapolate from a short sequence so it's not at all a fair question, unless the kids have been taught about what kinds of sequence will and will not appear on the test. But if that's the case then it's worthless for comparison over time - it's just teaching to a specific curriculum, which differs between then and now.
I got the last four right, but don't think it was for the right reason. #13 was supposed to be a simple algebraic sequence, but I kept thinking it ought to have something to do with primes.
Are #12 and #15 supposed to be interleaved constant-difference sequences? That was the description I used, and it felt right, but it could easily have been something else with the information given.
I did about the same as this. Flew through the first 14 in maybe five minutes, then spent another three on just Q15 before guessing (wrongly) and submitting at the 8 minute mark. Didn't even think to consider that there were separate sequences.
weirdly, the solutions (as in the method, not just the answer) to 11 and 15 both came to me instantaneously, seemingly without thought (though I did check mechanically too before answering). Maybe background processing whilst doing the ones above.
I wouldn't have said that I was all that good at that type of number problem so I am well pleased.... (Though I suhouldn't be surprised, I recently read Freakonomics, and I spotted the 'cheating' exam results from the raw data instantly as well...)
Oh dear. 14/15 due to getting 6 wrong (I thought I'd not knowing a word, but now I think I just juggled them in my head wrong and didn't see one letter had four plausible words).
But I found the numeric questions really difficult. I expect it's much, much, easier if you know in advance the Qs will typically be simple algebraic relations, or whatever they are, rather than having to wonder "hold on, is that too simple for an 11 year old to know? too complex?"
I got 12/15. Still passed, but got 10, 11 and 15 wrong. I can no longer do maths because I am so woefully out of practice. I can't even remember half my gcse stuff on it :O
I did a maths psychometric test the other day and got AVERAGE score. *weep*
I went to a grammar school after the 12+...so presumably I've always been good at this sort of thing. 15/15 in 4:24. With 7 and 8 I didn't bother trying the whole words...I worked out individual key letters (the Ts on "Mast" and "Lest" correspond to the 5s on the end of two of the codes). Is that cheating?
I was not however anything special academically (8 GCSE Bs and Cs...no As. 18 points worth of A-levels. 2ii degree). Says something about the usefulness of said tests. I rather enjoyed the mental workout though.
What Andy said - it's the only way to do it fast enough. Figuring out the fast way to figure it out is half of what you have to figure out. If you follow..
14/15 in 4.06. I got number 10 wrong - took me ages to figure out it was just subtraction, then when I did figure it out I got so excited I did it wrong :->
But I've done loads of IQ tests (because they're fun!) and practice does make a lot of difference, which seems to defeat the point somehow.
14/15, didn't spot the interleaving sequences in the last one either ... I think it was under 10 minutes - for some reason the timer on the page insisted on counting down from 5 seconds when I pressed Start.
Is that article implying that in order to pass this 11-plus exam, one would have had to done the equivalent of getting *all* those answers correct in 10 minutes? Are 25% of children really that smart? Or how many questions would one have needed to get correct?
Finally got to take this test, after they fixed the 6-second bug. Got 13/15 in 5 minutes. The two I got wrong were the last one (had no idea, just guessed - didn't occur to me it might not be a single sequence) and one of the two code-cracking ones (embarrassing mistake, I worked it out correctly using the key-letters method and then misremembered a 4 as a 5 en route between the examples and the answers).
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Date: 2008-12-10 03:57 pm (UTC)no subject
Date: 2008-12-10 04:00 pm (UTC)no subject
Date: 2008-12-10 04:02 pm (UTC)no subject
Date: 2008-12-10 04:02 pm (UTC)11 is "b - 2a"
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Date: 2008-12-10 04:02 pm (UTC)11. Double the first number and deduct it from the second.
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Date: 2008-12-10 04:10 pm (UTC)no subject
Date: 2008-12-10 06:40 pm (UTC)no subject
Date: 2008-12-10 04:53 pm (UTC)I will point out that there are many legitimate ways to extrapolate from a short sequence so it's not at all a fair question, unless the kids have been taught about what kinds of sequence will and will not appear on the test. But if that's the case then it's worthless for comparison over time - it's just teaching to a specific curriculum, which differs between then and now.
(It's mildly amusing, if you happen to be me, that both occurences of 16,17,18,18,19,18 in http://www.research.att.com/~njas/sequences/index.html have 19 as the next term).
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Date: 2008-12-10 06:45 pm (UTC)Are #12 and #15 supposed to be interleaved constant-difference sequences? That was the description I used, and it felt right, but it could easily have been something else with the information given.
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Date: 2008-12-11 12:05 am (UTC)There are an awful lot of primes which differ by exactly 2; I think it's still open whether or not the number is infinite...
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Date: 2008-12-10 05:21 pm (UTC)no subject
Date: 2008-12-10 06:41 pm (UTC)Out of practice
Date: 2008-12-12 12:53 am (UTC)no subject
Date: 2008-12-10 03:59 pm (UTC)no subject
Date: 2008-12-10 04:00 pm (UTC)no subject
Date: 2008-12-10 04:00 pm (UTC)no subject
Date: 2008-12-10 04:48 pm (UTC)no subject
Date: 2008-12-10 04:52 pm (UTC)I wouldn't have said that I was all that good at that type of number problem so I am well pleased.... (Though I suhouldn't be surprised, I recently read Freakonomics, and I spotted the 'cheating' exam results from the raw data instantly as well...)
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Date: 2008-12-10 05:13 pm (UTC)I think I remember that question from 35 years ago...
Funnily enough, I got stuck on 10 and 11 - I ended up guessing wrong!
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Date: 2008-12-10 05:56 pm (UTC)no subject
Date: 2008-12-10 06:39 pm (UTC)But I found the numeric questions really difficult. I expect it's much, much, easier if you know in advance the Qs will typically be simple algebraic relations, or whatever they are, rather than having to wonder "hold on, is that too simple for an 11 year old to know? too complex?"
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Date: 2008-12-10 06:46 pm (UTC)I can no longer do maths because I am so woefully out of practice. I can't even remember half my gcse stuff on it :O
I did a maths psychometric test the other day and got AVERAGE score. *weep*
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Date: 2008-12-10 07:17 pm (UTC)no subject
Date: 2008-12-10 07:18 pm (UTC)no subject
Date: 2008-12-10 07:19 pm (UTC)no subject
Date: 2008-12-10 08:12 pm (UTC)no subject
Date: 2008-12-10 09:22 pm (UTC)no subject
Date: 2008-12-10 08:09 pm (UTC)no subject
Date: 2008-12-10 08:49 pm (UTC)15/15 in 4:24.
With 7 and 8 I didn't bother trying the whole words...I worked out individual key letters (the Ts on "Mast" and "Lest" correspond to the 5s on the end of two of the codes). Is that cheating?
I was not however anything special academically (8 GCSE Bs and Cs...no As. 18 points worth of A-levels. 2ii degree). Says something about the usefulness of said tests. I rather enjoyed the mental workout though.
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Date: 2008-12-10 09:50 pm (UTC)no subject
Date: 2008-12-10 10:47 pm (UTC)no subject
Date: 2008-12-10 09:21 pm (UTC)no subject
Date: 2008-12-10 10:39 pm (UTC)no subject
Date: 2008-12-10 11:40 pm (UTC)I wouldn't think this would be a great marker as to whether or not someone had A Level / university potential, when considered in isolation.
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Date: 2008-12-11 12:57 am (UTC)But I've done loads of IQ tests (because they're fun!) and practice does make a lot of difference, which seems to defeat the point somehow.
Joining the herd ...
Date: 2008-12-11 01:12 am (UTC)I think it was under 10 minutes - for some reason the timer on the page insisted on counting down from 5 seconds when I pressed Start.
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Date: 2008-12-11 02:30 am (UTC)no subject
Date: 2008-12-11 03:03 am (UTC)no subject
Date: 2008-12-11 10:09 am (UTC)no subject
Date: 2008-12-11 03:20 pm (UTC)Got 13/15 in 5 minutes. The two I got wrong were the last one (had no idea, just guessed - didn't occur to me it might not be a single sequence) and one of the two code-cracking ones (embarrassing mistake, I worked it out correctly using the key-letters method and then misremembered a 4 as a 5 en route between the examples and the answers).