Answers to maths questions

Here are the answers to the maths questions set by Batemans supporter Chris Glover.

 

1. 15           By trial and error or by solving 3(x-10) = x

 

2. 29, 47 From 3rd term on, next term is sum of previous 2 (a Fibonacci sequence)

 

3. 400 By squaring and subtracting

OR the short way, difference of 2 squares (101 + 99) (101 – 99) = 200 x 2

 

4. 6 By listing 357, 375, 537, 573, 735,753

OR 3 ways of choosing 1st digit 2 for the 2nd and 1 for the third   so 3 x 2 x 1 = 6

 

5. 24 Similar to 2nd way in Q4, but 4 digits so 4 x 3 x 2 x 1 = 24

 

6. 256 As repetition allowed, 4 ways of choosing each digit so 4 x 4 x 4 x 4 = 256

 

7. An equilateral triangle, (½ a point for triangle)

 

8. 6