Number

find the prime factorisation of 45 and 60. Use the answer to fin the HCF.

45→5 x 3² 60→5 x 3 x 2²

HCF = 15

If *w* = 2² x 3 x 5 then find the prime factorisation of 36*w*

5 x 3³ x 2⁴

2/12 ÷ 3/7 =?

7/18

A bike has a two digit lock from 1→9. How many possible combinations are there?

81

How many possible ways can you order the numbers

1, 5, 6, 7, 5

120

A three digit lock has number 3→8 including 3 and 8. How many possible combinations can be made without repeating a number?

120

find (5/4)⁻⁴

256/625

find (7/11)⁻⁴

14641/2401