KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Form 1 Mathematics
A fruit vendor bought 1948 oranges on a Thursday and sold 750 of them on the same day.On Friday, he sold 240 more oranges than on Thursday. On Saturday he bought 560 more oranges. Later that day, he sold all the oranges he had at a price of Ksh 8 each.
Calculate the amount of money the vendor obtained from the sales of Saturday. Form 1 Mathematics
Using a ruler and a pair of compasses only, construct a rhombus QRST in which angle TQR = 600 and QS = 10 cm.
Form 1 MathematicsForm 3 MathematicsForm 1 Mathematics
A Kenyan company received US Dollars 100 000. The money was converted into Kenya shillings in a bank which buys and sells foreign currencies as follows:
Buying Selling (in Kenya shillings) (in Kenya shillings) 1 US Dollar 77.24 77.44 1 Sterling Pound 121.93 122.27 (a) calculate the amount of money, in Kenya shillings, the company received. (b) The company exchanged the Kenya shillings calculated in (a) above, into sterling pounds to buy a car from Britain. Calculate the cost of the car to the nearest sterling pound. Form 1 Mathematics
The sum of three consecutive odd integers is greater than 219. Determine the first three such integers.
Form 4 Mathematics
The following distribution shows the masses to the nearest kilogram of 65 animals in a certain farm
Form 3 MathematicsForm 4 Mathematics
The equation of a circle is given by x2 + 4x +y2 – 5 = 0. Find the radius and the center of the circle.
Form 1 Mathematics
Atieno and Kamau started a business by contributing sh. 25, 000 and sh. 20, 000 Respectively.
At the end of the year, they realized a profit of shs. 81, 000. The profit was allocated to development, dividends and reserves in the ratio 4:5:6 respectively. The dividends were the shared in the ratio of their contribution. Calculate the dividends paid to Atieno. Form 3 Mathematics
The coordinates of points O,P,Q and R are (0,0)(3,4) (11,6) and (8,2) respectively. A point T is such that vectors OT,QP and QR satisfy the vector equation. OT = QP + ½ QR .Find the coordinates of T.
Form 2 Mathematics
A triangular flower garden has an area of 28m2. Two of its edges are 14 metres and 8 metres. Find the angle between the two edges.
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.
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 3 Mathematics
Amina carried out an experiment to determine the average volume of a ball bearing. He started by submerging three ball bearings in water contained in a
measuring cylinder. She then added one ball a time into the cylinder until the balls were nine. The corresponding readings were recorded as shown in the table below
a) i) On the grid provided, Plot (x, y) where x is the number of ball bearings and y is the corresponding measuring cylinder, reading.
ii) Use the plotted points to draw the line of best fit b) Use the plotted points to draw the line of best fit. i) The average volume of a ball bearing; ii) The equation of the line. c) Using the equation of line in b(ii) above, determine the volume of the water in the cylinder. Form 3 Mathematics
a)The first term of an Arithmetic Progression (AP) is 2. The sum of the first 8 terms of the AP is 156
i) Find the common difference of the AP. ii) Given that the sum of the first n terms of the AP is 416, find n. b) The 3rd, 5th and 8th terms of another AP form the first three terms of a Geometric Progression (GP) If the common difference of the AP is 3, find: i) The first term of the GP; ii) The sum of the first 9 terms of the GP, to 4 significant figures. Form 4 Mathematics |
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