Further Mathematics Past Questions and Answers

Given that (p + 1/2√3)(1 - √3)\(^2\) = 3- √3,
find x the value of p.

\(^{5y}{C}_2\) = 190, find the value of y

The table shows the distribution of monthly income (in thousands of naira) of workers in a factory

Monthly Income (N'1000)	135-139	140-149	150-154	155-164	165-169
Number of workers	20	42	28	38	22

(a) Draw a histogram for the distribution.
(b) Use your graph to estimate the mode of the distribution.

A bag contains 24 mangoes out of which six are bad. If 6 mangoes are selected randomly from the bag with replacement, find the probability that not more than 3 are bad.

(a) The speed of a moving bus reduced from 45m/s to 5m/s with a uniform retardation of 10m/s\(^2\). Calculate the distance covered.
(b) A bucket full of water with mass 16kg is pulled out of a well with a light inextensible rope. Find its acceleration when the tension in the rope is 240N. [Take g= 10m/s\(^2\)]