The diagram shows an athletics track with two parallel sides and two semi-circular ends Each of the parallel sides is 60 metres, long and the diameter of each semi-circular end is 120 metres long.

(a) Calculate the distance covered by an athlete who runs round the tack the two times. [Take \(\pi\) = \(\frac{22}{7}\)]

(b) If the athlete spends 200 seconds for the race, calculate the speed in km/h.

(a) The diagram, = IWYI = IXZI and < WXY = 80\(^o\). What is the size of < XWZ?

(b) A man was charged 2 kobo per month for every N1.00 he borrowed from a bank. At what rate per annum was the interest charged?

The table shows the distribution of sources obtained when a fair diwe was rolled 50 times.

1. Draw a bar chart for the distribution

2. Calculate the mean score of the distribution

(a) If tan x = \(\frac{5}{12}\), \(0^o\). < x < 90°, evaluate, without using Mathematical tables or calculator, \(\frac{sin x}{(sin x)^2 + cosx}\) 

(b) The diagram shows a rectangular lawn measuring 14m by 11m. A path of uniform width \(x\)m surrounds it. If the total area of the path is 186 m\(^2\), how wide is the path? 
 

A shop had two reduction sales during which prices of all items were reduced by 40% in the first sales and 30% in the second.

1. If a shirt was sold at GH₵35.00 during the second reduction sales, find the price before the first sale.
2. If the price of an article before the first reduction was GH₵180.00, find the total:
3. reduction in the price due to the two sales;
4. percentage reduction in the price of the article.