KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 1 Mathematics
A salesman is paid a salary of Ksh 15, 375 per month. He also gets a commission of 4 1/2 % on the amount of money he makes from his sales. In a certain month, he
earned a total of Ksh 28 875. Calculate the value of his sales that month.
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Form 1 MathematicsForm 2 MathematicsForm 4 MathematicsForm 1 Mathematics
Omolo bought a new car for Ksh. 800,000. After 5 years, he sold it through a second- hand car dealer. The dealer charged a commission of 4% for the sale of the car. If Omolo received Ksh.480, 000, calculate the annual rate of depreciation of the car.
Form 3 Mathematics
Give that xo is an angle in the first quadrant such that 8 sin 2x + 2 cos X -5=0
Find:
Form 3 Mathematics
In the year 2003, the population of a certain district was 1.8 million. Thirty per cent of the population was in the age group 15 – 40 years. In the same year, 120,000 people in the district visited the Voluntary Counseling and Testing (VCT) centre for an HIV test.
If a person was selected at random from the district in this year. Find the probability that the person visited a VCT centre and was in the age group 15 – 60 years. Form 2 Mathematics
A piece of wire is bent into the shape of an isosceles triangle. The base angles are each 48° and the perpendicular height to the base is 6 cm. Calculate,
correct to one decimal place, the length of the wire. Form 2 Mathematics
The volume of a cube is 1728 cm3. Calculate, correct to 2 decimal places, the length of the diagonal of a face of the cube.
Form 1 Mathematics
Muya had a 6 2/3 ha piece of land. He donated 7/8 ha to a school and 1 1/2 ha to a children's home. The rest of the land was shared equally between his son
and daughter. Find the size of land that each child got. Form 1 MathematicsForm 4 Mathematics
The velocity V ms, of a moving body at time t seconds is given by V = 5t2 – 12t + 7
Find its acceleration after 2 seconds.
Form 3 Mathematics
Given that OA = 3i - 2j + and OB = 4i + j – 3k. Find the distance between points A and B to 2 decimal places.
Form 1 Mathematics
The size of an interior angle of a regular polygon is 1560.Find the number of sides of the polygon.
Form 1 MathematicsForm 1 Mathematics
(a) Evaluate 540396-726450÷3.
(b) Write the total value of the digit in the thousands place of the results obtained in (a) above. Form 3 Mathematics
In an experiment involving two variables t and r, the following results were obtained
a) On the grid provided, draw the line of best fit for the data
b) The variables r and t are connected by the equation r= at + k where a and k are constant Determine i)The values of a and K: ii) The equation of the line of best fit. iii)The value of t when r = 0 Form 4 Mathematics
Figure ABCD below is a scale drawing representing a square plot of side 80 metres.
On the drawing, construct:
(i) the locus of a point P, such that it is equidistant from AD and BC. (ii) the locus of a point Q such that <AQB = 60°. (i) Mark on the drawing the point Q , the intersection of the locus of Q and line AD. Determine the length of BQ1 in metres. (ii) Calculate, correct to the nearest m2, the area of the region bounded by the locus of P, the locus of Q and the line BQ1 Form 3 MathematicsForm 3 Mathematics
Each morning Gataro does one of the following exercises: Cycling, jogging or weightlifting. He chooses the exercise to do by rolling a fair die. The faces of the die are numbered 1, 1,2, 3, 4 and 5.
If the score is 2, 3 or 5, he goes for cycling. If the score is 1, he goes for jogging. If the score is 4, he goes for weightlifting. (a) Find the probability that: (i) on a given morning, he goes for cycling or weightlifting; ii) on two consecutive mornings he goes for jogging (b) In the afternoon, Gataro plays either football or hockey but never both games. The probability that Gataro plays hockey in the afternoon is: 1/3 if he cycled; 2/5 if he jogged and 1/2 if he did weightlifting in the morning. Complete the tree diagram below by writing the appropriate probability on each branch.
(c) Find the probability that on any given day:
(i) Gataro plays football; (ii) Gataro neither jogs nor plays football.
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The dimensions of a rectangular floor of a proposed building are such that!
• the length is greater than the width but at most twice the width; • the sum of the width and the length is, more than 8 metres but less than 20 metres. If'x represents the width and y the length. (a) write inequalities to represent the above information. (b) (i) Represent the inequalities in part (a) above on the grid provided. (ii) Using the integral values of x and y, find the maximum possible area of the floor. |
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