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# UKMT Senior Individual Maths Challenge 2016 - Preparation and Tips watch

1. (Original post by qeyoo)
I got B for 8, not D, and I didn't answer 21. How did you go about doing it?

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4 was B I think, as 180-80=100
100-20=80
80=80

100-40=60
100 doesnt equal 40 doesnt equal 60
2. (Original post by ben167)
1b

2d

3b

4c

5a

6d

7a

8d

9c

10b

11e

12c

13a

14d

15b

16d

17d

18e

19c

20e

21a

22c

23e

24b

25d
8 should be B-84
3. (Original post by ShatnersBassoon)
I also kept my working out. I answered 19 questions, but I've realised I've got one wrong, so I've got 96 at most, but probably 86 or 91. Do you reckon it was easier or harder than last year, if you've done that paper? I reckon it was about the same; we should both definitely get gold and with a bit of luck maybe kangaroo.

EDIT: Does anyone know when UKMT post the grade boundaries, and when they send schools the results?
I answered 17 questions but looking at some of other people's answers I think I got about 80.
I haven't actually done last year's paper (although I probably should have for practice) but I did a much earlier paper a few weeks ago and I found today's a little harder. I did the intermediate last year and qualified for the kangaroo.

Not sure when the grade boundaries come out but I think the results take about 4-6 weeks to arrive to your school.
4. Right so I got 69... Absolutely flunked it considering I was hoping to get 90-100
5. (Original post by Mathspro2580)
For 9 i don't see how y= -X^2 +1 passes through two. I thought it would only pass through (0,1) .
less chance for a gold cuz I'm wrong
It also passes through (1,0). Remember that
-x^2 is not the same thing as (-x)^2.
6. (Original post by Rana1997)
8 should be B-84
That's what I thought but apparently it's 7! = 5040
7. How is 11 E?
8. (Original post by 123Master321)
heres 21
https://imgur.com/a/ckJLM
Nice, thanks
thats what I got, I just couldnt remember how. How did you find the rest of the paper?
9. (Original post by sqrt(e/m)=c)
4 was B I think, as 180-80=100
100-20=80
80=80

100-40=60
100 doesnt equal 40 doesnt equal 60
No 4 is C, because the difference BETWEEN the two remaining angles has to be 60. Angles of 100, 40, and 60 would in any case add up to more than 180. If you work through B properly, you get angles of 80, 80, and 20 (as 80-20=60), and this doesn't work as the triangle has to be scalene. Whereas C gives angles of 80, 90, and 10, which are all different.
10. (Original post by surina16)
That's what I thought but apparently it's 7! = 5040
No, you can draw the diagram and see it's 84. That's what everyone else at my school got, and we at Westminster are considered to be the brightest kids in the country given our performance in GCSE and A-Level results tables.
11. (Original post by HapaxOromenon3)
No 4 is C, because the difference BETWEEN the two remaining angles has to be 60. Angles of 100, 40, and 60 would in any case add up to more than 180. If you work through B properly, you get angles of 80, 80, and 20 (as 80-20=60), and this doesn't work as the triangle has to be scalene. Whereas C gives angles of 80, 90, and 10, which are all different.
Thanks, but damn you
13. I got:

B D B C A D A B C B E C A D B D D E D - C C E - D

Couldn't do 20 and 24 in the time.

Does anyone agree?
14. (Original post by surina16)
Right so I got 69... Absolutely flunked it considering I was hoping to get 90-100
You cant know that for certain.
Lets just wait for results to arrive, eh?
15. (Original post by surina16)
That's what I thought but apparently it's 7! = 5040
That's impossible. Draw it to confirm: 42 squares in each half
16. Can people explain how they got their answers for:
11, 20, 23, 13, 15, 21 and 24.
Thanks
17. For some reason I really struggled to do Q8 - I think it was difficult to draw an accurate diagram and I struggled with counting haha

Other than that I think the rest of my answers were correct, and that I got 100 marks pretty happy with that!
18. (Original post by maths00)
I got:

B D B C A D A B C B E C A D B D D E D - C C E - D

Couldn't do 20 and 24 in the time.

Does anyone agree?
Yes, agree with all those. 20 was E and 24 was B.
19. (Original post by sqrt(e/m)=c)
How is 11 E?
The numbers in the boxes go:

10, 13, 16, 19, 22, 25
20. (Original post by HapaxOromenon3)
Yes, agree with all those. 20 was E and 24 was B.
Thanks! phew...

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