KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 1 Mathematics
Kipketer can cultivate a piece of land in 7 hours while Wanjiku can do the same work in 5 hours. Find the time they would take to cultivate the piece of land when working together.
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Form 2 Mathematics
A bus left a petrol station at 9.20 a.m. and travelled at an average speed of 75 km/h to a town N. At 9.40 a.m. a taxi, travelling at an average speed of 95 km/h, left the same
petrol station and followed the route of the bus. Determine the distance, from the petrol station, covered by the taxi at the time it caught up with the bus. Form 2 Mathematics
A straight line l passes through the point (3, —2) and is perpendicular to a line whose equation is 2y-4x= 1.
Find the equation of l in the form y = mx + c, where m and c are constants. Form 1 Mathematics
Kutu withdrew some money from a bank. He spent 3/8 of the money to pay for Mutua’s school fees and 2/5 to pay for Tatu’s school fees. If he remained with Ksh 12 330, calculate the amount of money he paid for Tatu’s school fees.
Form 4 MathematicsForm 3 MathematicsForm 4 Mathematics
Point P (400S, 450E) and point Q (400S, 600W) are on the surface of the Earth.
Calculate the shortest distance along a circle of latitude between the two points. Form 3 Mathematics
On a certain day, the probability that it rains is 1/7 . When it rains the probability that Omondi carries an umbrella is 2/3. When it does not rain the probability that Omondi carries an umbrella is 1/6. Find the Probability that Omondi carried an umbrella that day.
Form 3 Mathematics
A circle whose equation is (x – 1)2 + (y- k)2 = 10 passes through the point (2,5). Find the coordinates of the two possible centres of the circle.
Form 3 Mathematics
a) Expand and simplify the binomial expression (2 –x)7 in ascending powers of x.
b) Use the expansion up to the fourth term to evaluate (1.97)7 correct to 4 decimal places Form 1 Mathematics
In a certain commercial bank, customer may withdraw cash through one of the two tellers at the counter. On average, one teller takes 3 minutes while the other teller takes 5 minutes to serve a customer. If the two tellers start to serve the customers at the same time, find the shortest time it takes to serve 200 customers
Form 2 MathematicsForm 3 MathematicsForm 1 MathematicsForm 3 Mathematics
find a quadratic equation whose roots are 1.5 + sq root 2 and 1.5 - sq root 2, expressing it in the form ax2 + bx + c =0, where a, b and c are integers
Form 1 Mathematics
A farmer feed every two cows on 480 Kg of hay for four days. The farmer has 20 160 Kg of hay which is just enough to feed his cows for 6 weeks. Find the number of cows in the farm.
Form 2 Mathematics
In the figure below (not drawn to scale), AB = 8cm, AC= 6cm, AD= 7cm, CD= 2.82 cm and angle CAB =500
Calculate, to 2 decimal places
a) The length BC, b) The size of angle ABC, c) The size of angle CAD, d) The area of triangle ACD b) Express vector NM in terms of OB
OP = OM + 2 MN, find the coordinates of P.
Form 2 MathematicsForm 1 Mathematics
Abdi sold a radio costing Kshs 3 800 at a profit of 20%. He earned a commission of 22 ½ 5 on the profit. Find the amount he earned.
Form 1 Mathematics
The diagonals of a rhombus PQRS intersect at T. Given that p(2,2), Q(3, 6 ) and R(-1, 5):
a) Draw the rhombus PQRS on the grid provided; b) State the coordinates of T. |
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