Maths Trail Solutions

(More info)

1. 324
2. 
   1. 220cm
   2. 20
3. 
   1. 90-100
   2. 120
   3. 140-150
4. Either 6 or 3
5. 
   1. 400
   2. £800
6. 
   1. 8th May 1778
   2. 6th March 1854
   3. 75 (He was born in 1778 and celebrated his last birthday in 1853.)
7. 
   2. Hexagon
   3. 120 degrees
   4. 3
8. 69
9. 8
10. 1hour and 18 minutes
11. 300-600
12. 
    1. 36
    2. Even, square and triangular
    3. 4 is an example of an even square number,
       1 is square and triangular,
       and 6 is even and triangular.
13. 1771 is a palindrome (did you know that all 4 digit palindromic numbers are divisible by 11?)
14. 16+10 at 10am,
    4+8+12 between 10am and 11am
    16+11 at 11am
    for a total of 77.
15. 
    1. 8
    2. octagon
16. 7+4/7
19. 
    1. 4m
    2. 14-16m
20. 1666
21. 15 degrees
22. 
    1. 2/3
    2. 0.6666
23. Shaheens: £12 per litre
    San Marco: £9 for 75cl=£12 per litre
24. 32 including congestion
25. 
    1. 12
    2. 145
    3. 145
26. 1. 26a: 4*9², 18², count the "L" shapes starting at the corners: 1+3+5+7+...+17=18² (the property of adding consectutive odd numbers to make a square always works)
    2. 324, but cannot make a square.