👆🏼Make x the subject of 6y = 4x + 4y + 7

👇🏼Factorise completely: 100x – x³

👈🏼A bag contains 12 sweets, 7 blackcurrant flavoured and 5 strawberry flavoured. Two sweets are taken from the bag at random, without replacement. What is the probability that both of the sweets have the same flavour?

👉🏼A solid is made by putting a hemisphere on top of a cone. Find an expression for the volume in terms of x:

🖐🏼ξ is the set of even numbers from 1 to 400.

O = odd numbers, P = prime numbers, C = cube numbers and S = square numbers.

Find out how many numbers are in O∪P∪C∪S