KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Data collected form an experiment involving two variables X and Y was recorded as shown in the table below.The variables are known to satisfy a relation of the form y = ax^{3}+ b where a and b are constants
Two variables P and L are such that P varies partly as L and partly as the square root of L. Determine the relationship between P and L when L = 16, P = 500 and when L = 25, P = 800.5 marks A tailor makes two types of garments A and B. Garment A requires 3 metres of material while garment B requires 2 Â½ metres of material. The tailor uses not more than 600 metres of material daily in making both garments. He must make not more than 100 garments of type A and not less than 80 of type B each day.(a). Write down all the inequalities from this information. (3mks)b) Graph the inequalities in (a) above (3mks)c) If the business makes a profit of shs. 80 on garment A and a profit of shs. 60 on garment B, how many garments of each type must it make in order to maximize the total profit? (4mks)Fill in the table below to 2 decimal places for the graph of y = sin x and y = 2sin (x30) for the range – 180 £ x £180 (2mks)The curve of the equation y = x+ 2x^{2}, has x = ½ and x = 0 as xintercepts. The area bounded by the xaxis, x = ½ and x = 3 is shown by the sketch below.The table below shows income tax rates

Marks 
1019 
2029 
3039 
4049 
5059 
6069 
7079 
8089 
9099 
Frequency 
2 
6 
10 
16 
24 
20 
12 
8 
2 
Using an assumed mean of 54.5, calculate the
a) Mean mark (4mks)
b) Variance (4mks)
c) Standard deviation (2mks)
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