1. Apili has Shs20,000,000 on her fixed deposit account in a bank. The bank gives a compound interest at a rate of 4% per annum. Calculate the amount Apili will receive after 2years.
2. Given that
and b=3a, find |a+b|
3. If 7y = 24, find the value y, correct to 2 decimal places
4. Two set A and B in the universal set ε, are such that n (A∩B) = 3, n (B) – 5 and n (A’) = 7. Use a Venn diagram to find n (A∪B)’
5. An open cylinder has a height of 15cm and a radius of 7cm. Calculate the surface area of the cylinder.
6. The volume of the prism below is 1190cm3, AB = h cm, BC = 10cm and CD = 14cm
Find the value of h
7. Express 0.84545…. as a fraction in its simplest form.
8. The function f is defined asà 3x – 2x. Determine the range if the domain is {0,1,2,3}
9. The coordinates of points A and B are (-5,-3) and (1,9) respectively. Find the;
a) mid-point of AB
b) length of AB
10. In the diagram below, the line RS cuts the x-axis at R and the y-axis at S
Determine the equation of the line RS
11. a) Show that points A (-3, -2), B(3,1) and C (5,2) lie on a straight line
b) Two points M and N have position vectors 
respectively. If P is a point such that 3MN = MP, find the coordinates of P.
12. The cost C (Shs) of a roll of cloth is partly constant and partly varies as the square of length l (meters) of the cloth. The cost of a roll of 50m is Shs50,000. The cost of a roll of length 80m is Shs96,800.
a) Form an equation relating the cost, C and the length, l.
b) Calculate the;
i) cost of a roll of length 20m
ii) length of a roll which costs Shs34,700
13. In a class of 68students, 2 of them do not eat any of the three foods of beef (B), chicken (C) and fish (F). 25 students eat beef and chicken, 19 eat beef and fish while 23 eat chicken and fish. 38 students eat fish. Some students eat all the three foods. The numbers of students in the class who eat only one of the foods are equal.
a) Represent that given information on a Venn diagram
b) Determine the number of students in the class who eat;
i) all the three foods
ii) beef
iii) fish
c) If a student is selected at random from the class, find the probability that the student eats only two of the foods.
14. A car travelling at 12m/s accelerates uniformly and in 3seconds its velocity is 30m/s. It then continues at this velocity for another 4 seconds and finally decelerates uniformly to rest in 6 seconds.
a) Draw a velocity- time graph for the motion of the car
b) Using your graph, determine the acceleration of the car.
c) Calculate the distance travelled by the car in the 13seconds
15.a) The functions f(y) and g(y) are defined as f(y) = y + 2 and 
Find;
i) fg(y)
ii) fg(9)
b) If the function 
determine;
i) h-1(x)
ii) h-1(3)
16. The table shows the income tax rates of government employees
|
Taxable monthly income (Shs) |
Tax rate |
|
100,000 and less than 200,000 |
10% |
|
200,000 and less than 300,000 |
20% |
|
300,000 and less than 400,000 |
30% |
|
400,000 and less than 500,000 |
40% |
|
500,000 and over |
55% |
An employee has a grow monthly income of Shs 703,900 including non taxable monthly allowances as given below
- Marriage allowance: Shs 126,500 per month
- Housinf and transport: 15% of gross monthly income
- Medical care: Shs 48,00 per month
Find his;
a) taxable income
b) net income
17. In the figure below ABCD is a square, AB = BC = 6cm and BG = 4cm
Calculate the;
a) i) length of AF
ii) angle between the line AF and plane ABGH
b) angle between planes ABFE and ABGH
END