KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 3 Mathematics
The table below shows income tax rates for a certain year.
A tax relief of Ksh 1162 per month was allowed. In a certain month, of that year, an employee's taxable income in the fifth band was Ksh 2108.
(a) Calculate: (i) the employee's total taxable income in that month; (ii) the tax payable by the employee in that month. (b) The employee's income included a house allowance of Ksh 15 000 per month. The employee contributed 5% of the basic salary to a co-operative society. Calculate the employees net pay for that month.
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Form 3 Mathematics
In the figure below OS is the radius of the circle centre O. Chords SQ and TU are extended to meet at P and OR is perpendicular to QS at R. OS = 61cm, PU=50cm, UT=40cm and PQ =30cm.
a) Calculate the lengths of:
i) QS: ii) OR c) Calculate, correct to 1 decimal place: i)The size of angle ROS: ii) The length of the minor arc QS. Form 1 Mathematics
A paint dealer mixes three types of paint A, B and C, in the ratios A:B = 3:4 and B:C = 1:2. The mixture is to contain 168 litres of C.
(a) Find the ratio A:B:C. (b) Find the required number of litres of B. (c) The cost per litre of type A is Ksh 160, type B is Ksh 205 and type C is Ksh 100. i. Calculate the cost per litre of the mixture. ii. Find the percentage profit if the selling price of the mixture is Ksh182 per litre. iii. Find the selling price of a litre of the mixture if the dealer makes a 25% profit. Form 1 MathematicsForm 4 Mathematics
The gradient of a curve is given by dy/dx = x2 - 4x4- 3. The curve passes through the point (1,0). Find the equation of the curve.
Form 2 Mathematics
Vectors r and s are such that r = 7 i + 2 j - k and s = - i + j - k.
Find | r + s |. Form 4 Mathematics
The shortest distance between two points A (40°N, 20°W) and B (0°S, 20°W) on the surface of y the earth is 8008km. Given that the radius of the earth is 6370km,
determine the position of B. (Take n = 22/7 ). Form 3 Mathematics
Muga bought a plot of land for Ksh 280,000. After 4 years, the value of the plot-was Ksh 495 000. Determine the rate of appreciation, per annum, correct
to one decimal place. Form 4 MathematicsForm 3 Mathematics
Expand (3 - x)1 up to the term containing x4. Hence find the approximate value of (2.8)7.
Form 4 MathematicsForm 4 Mathematics
Determine the amplitude and period of the function, y = 2 cos (3x — 45)°.
Form 3 MathematicsForm 3 Mathematics
Three quantities L, M and N are such that L varies directly as M and inversely as the square of N. Given that L = 2 when M = 12 and N = 6, determine the
equation connecting the three quantities. Form 3 MathematicsForm 3 Mathematics
The first term of an arithmetic sequence is — 7 and the common difference is 3.
(a) List the first six terms of the sequence; (b) Determine the sum of the first 50 terms of the sequence. Form 3 Mathematics
The lengths of two similar iron bars were given as 12.5m and 9.23m. Calculate the maximum possible difference in length between the two bars.
Form 2 Mathematics
The figure below represents a right pyramid with vertex V and a rectangular base PQRS. VP = VQ = VR S = 18cm and QR =16cm and QR = 12cm. M and O are the midpoints of QR and PR respectively.
Find:
Form 4 Mathematics
a) Complete the table below, giving your values correct to 2 decimal places.
Form 4 Mathematics
The line PQ below is 8cm long and L is its midpoint
Form 4 Mathematics
Form 4 Mathematics
Omondi makes two types of shoes: A and B. He takes 3 hours to make one pair of type A and 4 hours to make one pair of type B. He works for a maximum of 120 hours to x pairs of type A and Y pairs of type B.It costs him sh 400 to make a pair of type A and sh 150 to make a pair of type B.
His total cost does not exceed sh 9000. He must make 8 pairs of type A and more than 12 pairs of type B. Form 4 Mathematics
A ship leaves port p for port R though port Q.Q is 200 km on a bearing of 2200 from P.R is 420 km on the bearing of 1400 from from Q.
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