KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 2 MathematicsThe area of a rhombus is 60cm2. Given that one of its diagonals is 15 cm long, calculate the perimeter of the rhombus
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Form 2 Mathematics
Without using mathematical tables or a calculator, evaluate
5/6 log10 64 + log10 50 - 41og10 2. Form 4 MathematicsForm 2 Mathematics
A solid S is made up of a cylindrical part and a conical part. The height of the solid is 4.5 m.
The common radius of the cylindrical part and the conical part is 0.9 m. The height of the conical part is 1.5 m. (a). Calculate the volume. correct to 1 decimal place, of solid S. (b). Calculate the total surface area of solid S. A square base pillar of side 1.6 m has the same volume as solid S. Determine the height of the pillar, correct to 1 decimal place. Form 2 Mathematics
The masses, in kilograms, of patients who attended a clinic on a certain day were recorded follows.
(a) Starting with the class 35 — 39, make a frequency distribution table for the data.
(b) Calculate: (i) the mean mass; (ii)the median mass (c) On the grid provided below draw a histogram to represent the data Form 2 Mathematics
Two lines L1: 2y — 3x- 6 = 0 and L2: 3y + x — 20 = 0 intersect at a point A.
(a) Find the coordinates of A. (b) A third line L3 is perpendicular to L2 at point A. Find the equation of L3 in the form y = mx + c, Where m and c are constants. (c) Another line L4 is parallel to L1 and passes through (—1,3). Find the x and y intercepts of L4 Form 2 MathematicsThe figure below shows a model of a roof with a rectangular base PQRS PQ = 32 cm and QR = 14 cm. The ridge XY = 12 cm and is centrally placed. The faces PSX and QRY are equilateral triangles M is the midpoint of QR. Calculate (a) (i) the length of YM (ii) The height of Y above the base PQRS (b) The angle between the planes RSXY and PQRS (c) The acute angle between the lines XY and QS Form 2 Mathematics
A triangle T With vertices A (2,4), B (6,2) and C (4,8) is mapped onto triangle T’ with vertices A'(10,0) , B'(8,—4) and C'(14,—2) by a rotation.
(a) On the grid provided draw triangle T and its image. (b) Determine the centre and angle of rotation that maps T onto T'. Form 2 MathematicsForm 1 Mathematics
A garden is in the shape of a right angled triangle. The length of the shortest side is l7 m and the area of the garden is 346.8 m2. Calculate the length of the longest side of the garden.
Form 2 Mathematics
A line L is perpendicular to the line 2⁄3x + 5⁄7 y = 1 . Given that L passes through (4,11), find:
(a) gradient of L1 (b) equation of L in the form y = mx + c, where m and c are constants. Form 2 MathematicsForm 2 MathematicsForm 1 Mathematics
A water vendor has a tank of capacity 18 900 litres. The tank is being filled with water from two pipes A and B which are closed immediately when the tank is full. Water flows at the rate of 150 000cm3/minute through pipe A and 120 000 cm3/ minute through pipe B.
(a) If the tank is empty and the two pipes are opened at the same time, calculate the time it takes to fill the tank (b) On a certain day the vendor opened the two pipes A and B to fill the empty tank. After 25 minutes he opened the outlet tap to supply water to his customers at an average rate of 20 litres per minute. (i) Calculate the time it took to fill the tank on that day. (ii) The vendor supplied a total of 542 jerricans, each containing 25 litres of water, on that day. If the water that remained in the tank was 6300 litres, calculate, in litres, the amount of water that was wasted. Form 2 Mathematics
A school decided to buy at least 32 bags of maize and beans. The number of bags of beans were Lo be at least 6. A bag of maize costs Ksh 2500 and a bag of beans costs Ksh 3 500, The school had Ksh 100 000 to purchase the maize and beans. Write down all the inequalities that satisfy the above information,
Form 3 Mathematics
An arc 11 cm long, subtends an angle of 70° at the centre of a circle. Calculate the length, correct to one decimal place, of a chord that subtends an angle of 90°
at the centre of the same circle. Form 2 Mathematics
The masses in kilograms of 20 bags of maize were:
90, 94, 96, 98, 99, 102, 105, 91, 102, 99, 105, 94, 99, 90, 94, 99, 98, 96, 102 and 105. Using an assumed mean of 96 kg, calculate the mean mass, per bag of the maize. Form 2 Mathematics
The frequency table below shows the daily wages paid to casual workers by a certain company
a) In the grid provided, draw a histogram to represent the above information
b.i)State the class in which the median wage lies ii) Draw a vertical line, in the histogram, showing where the median wage lies c) Using the histogram, determine the number of workers who earn shs 450 or less per day Form 2 Mathematics
Given that Log 4 = 0.6021 and log 6 = 0.7782, without using mathematical tables on a calculator, evaluate log 0.096.
Form 2 Mathematics
The production of milk, in litres, of 14 cows on a certain day was recorded as follows:
22, 26, 15, 19, 20, 16,27, 15, 19, 22, 21, 20, 22 and 28. Determine: (a) the mode; (b) the median. |
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