Further Mathematics Past Questions and Answers

Find correct to the nearest degree,5 the angle between p = 12i - 5j and q = 4i +3j

Find the area between line y = x + 1 and the x-axis from x = -2 to x = 0.

How many numbers greater than 200 can be formed from the digits 1,2,3,4, 5 if no digit is to be repeated in any particular number?

The probabilities that John and Jane will pass an examination are 0.9 and 0.7 respectively. Find the probability that at least one of them will pass the examination.

Given that X and Y are independent events such that P(X) = 0.5, P(Y) = m and P(X U Y) = 0.75, find the value of m.