The table below shows the number of eggs laid by the chickens in a man's farm in a year.

(a) Draw a cumulative frequency curve for the distribution.

(b) Use your graph to find the interquartile range.

(c) If a woman buys a chicken from the farm, what is the probability that the chicken lays at least 60 eggs in a year?

(a) Copy and complete the binary multiplication table:

(b) Convert \(11.011_{two}\)  to a number in base ten.

(c) Simplify \(\frac{9.6 \times 10^{18}}{0.24 \times 10^{5}}\) and express your answer in the form \(P \times 10^{m}\) where 1 < P < 10 and m is an integer.

(a) The 6th term of an A.P is 35 and the 13th term is 77. Find the 20th term.

(b)  

The Venn diagram represents three subsets P, Q and R of the universal set U. Copy the Venn diagram. Shade and indicate the regions represented by (i) \(P \cap Q' \cap R\) ; (ii) \(P' \cap Q \cap R'\).

(a) Given that \(\sin x = \frac{5}{13}, 0° \leq x \leq 90°\), find \(\frac{\cos x - 2 \sin x }{2\tan x}\).

(b) 

 The diagram represents the vertical cross-section of a mountain with height NQ standing on a horizontal ground PRN. If the angles of elevation of the top of the mountain from P and R are 30° and 70° respectively and PR = 500m, calculate, correct to 3 significant figures :

(i) |QP| ; (ii) the height of the mountain.

The table below shows how a company's sales manager spent his 1995 annual salary.

(a) Represent this information on a pie chart.

(b) Find his savings at the end of the year if his annual salary was N60,000.00.