Drastic Dad wrote:

the teacher messed it up by dividing question 10 into two like this:

(10) The number at position (d) is 4

(11) times one of the numbers adjacent (next) to it.

Actually you could do it without that clue

Like this:

The number at position (f) is in the correct position on the clock-face.

So f is 5There is a difference of 6 between the number at position (g) and the number preceding it (f).

We know f is 5 so g must be 11 The numbers on the vertical axis (a) and (g) add to 13.

We know g is 11 so a must be 2 The number at position (l) is twice the top number (a), one third of the number at position (d) and half of the number at position (e).

We know a is 2 so l must be 4, d must be 12 and e must be 8 The numbers on the horizontal axis (d) and (j) also add to 13.

We know d is 12 so j must be 1 The number at position (d) is double the number at position (h).

We know d is 12 so h must be 6 So far we have

a=2

b=

c=

d=12

e=8

f=5

g=11

h=6

i=

j=1

k=

l= 4

leaving 3,7,9,10 left to allocateThe first set of 6 numbers [(a) - (f)] add to the same total as the second set of 6 numbers [(g) - (l)].

1+2+...+11+12 = 78 so a-f must be 39, as must g-l. The 4 numbers we have for a-g add to 27, so b+c must be 12.

The only way to make 12 from 3, 7 ,9 and 10 is 3+9 - therefore b and c are 3 and 9.

This leaves i and k to be 10 and 7No consecutive numbers are next to each other.

So b can't be 3, meaning b is 9 and c is 3.No even number is between two odd numbers.

So i can't be an odd number - meaning i is 10 and k is 7a=2

b=9

c=3

d=12

e=8

f=5

g=11

h=6

i=10

j=1

k=7

l= 4The number at position (d) is 4 times one of the numbers adjacent (next) to it.

Not needed as all the answers can be derived without this clue.twelveminus wrote:

That's what it's there for.....

Exactly, but worth pointing out as a source of similar material for anyone who hadn't come across it. As it's a live question which means they haven't published the answers yet, I do wonder if the teacher has actually worked it out though!