Mathematics Past Questions and Answers

The table gives the distribution of outcomes obtained when a die was rolled 100 times.What is the experimental probability that it shows at most 4 when rolled again?

A shopkeeper buys 40 kg of fruits for N120.00. He sells 20 kg at N5.00 per kg, 10 kg at N3.00 per kg, 5 kg at N2.00 per kg and the remaining 5 kg at 50k per kg. Calculate the :
(a) amount he realises from the sales ;
(b) total profit / loss ;
(c) percentage profit/ loss on his outlay of N120.00.

(a) Solve the simultaneous equation : \(6y + 5x = 12 ; 4y - 3x = 11\).
(b)
In the diagram, ADC is a straight line. /CD/ = 48 cm, /BD/ = 36 cm and /AD/ = y cm. Find the value of y.

The table below shows the marks obtained by forty pupils in a Mathematics test.

Marks	0 - 9	10 - 19	20 - 29	30 - 39	40 - 49	50 - 59
No of pupils	4	5	6	12	8	5

(a) Draw a histogram for the mark distribution ;
(b) Use your histogram to estimate the mode ;
(c) Calculate the median of the distribution.

(a) If \(\log_{10} 2 = 0.3010\) and \(\log_{10} 3 = 0.4771\), calculate without using tables, the value of \(\log_{10} 0.72\).
(b) A hawk on top of a tree, 20 metres high views a chick on the ground at an angle of depression of 39°. Find, correct to 2 significant figures, the distance of the chick from the bottom of the tree.