KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 4 Mathematics
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Form 3 Mathematics
The first term of an arithmetic sequence is — 7 and the common difference in 3
(a) List the first six terms of the sequence; (b) Determine the sum of the first 50 terms of the sequence. 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 1 Mathematics
Kago deposited kshs 30000 in a financial institution that paid simple interest at the rate of 12% per annum. Nekesa deposited the same amount of money as Kago in
another financial institution that paid compound interest. After 5 years , they had equal amounts of money in the financial institutions. Determine the compound interest rate, to 1 decimal place for Nekesas deposit Form 1 Mathematics
An industrialist has 450 litres of a chemical which is 70% pure. He mixes it with a chemical of the same type but 90% pure so as to obtain a mixture which is 75% pure.
Find the amount of the 90% pure chemical used Form 3 Mathematics
A group of 5 people can do a piece of work in 6 hours. Calculate the time a group of people. Working at half the rate of the first group would take to complete the same work.
Form 3 Mathematics
(a) Expand (1 + x)5
(b) Use the first three terms of the expansion in (a) to find the approximate value of (0.98)5 Form 3 Mathematics
Use matrices to solve the simultaneous equations
4x + 3 y = 18 5x – 2y = 11 Form 2 Mathematics
A students obtained the following marks in four tests during a school term: 60%, 75%, 48% and 66%. The tests were weighted as follows: 2,1, 4 and 3 respectively.
Calculate the students weighed mean mark of the tests Form 2 Mathematics
Two trains T1 and T2 traveling in the opposite directions, on parallel tracks are just beginning to pass one another. Train T1 is 72 m long and traveling at 108 km/h. T2 is 78 m long and is traveling at 72 km/h.
Form 3 Mathematics
Find the number of terms of the series 2 + 6 + 10 + 14 + 18 + ……….. that will give a sum of 800.
Form 1 Mathematics
The marked price of a car in a dealer’s shop was Kshs 400,000. Wekesa bought the car at 8% discount. The dealer still made a profit of 15%.
Calculate the amount of money the dealer had paid for the car. Form 4 MathematicsForm 4 Mathematics
The marks scored by 40 students in a mathematics test were as shown in the table below.
a) Find the lower class boundary of the modal class
b) Using an assumed mean of 64, calculate the mean mark c i) On the grid provided, draw the cumulative frequency curve for the data ii)Use the graph to estimate the semi-interquartile range Form 4 Mathematics
A particle was moving along a straight line. The acceleration of the particle after t seconds was given by (9 -3t) ms-2. The initial velocity of the particle was 7 ms-1.
Find: a) the velocity (v) of the particle at any given time (t); b) The maximum velocity of the particle; c)the distance covered by the particle by the time it attained maximum velocity Form 3 Mathematics
A quantity P varies partly as the square of m and partly as n. When P = 3.8, m = 2 and n = When P = -0.2, m = 3 and n = 2.
(a) Find: (i) the equation that connects P, m and n; (ii) the value of P when m = 10 and n = 4. (b) Express m in terms of P and n. (c) If P and n are each increased by 10%, find the percentage increase in m correct to 2 decimal places. |
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