Form 3 Mathematics
A bag contains 2 white balls and 3 black balls. A second bag contains 3 white balls and 2 black balls. The balls are identical except for the colours. Two balls are drawn
atrandom, one after the other from the first bag and placed in the second bag. Calculate the probability that the 2 balls are both white. 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 3 Mathematics
By correcting each number to one significant figure, approximate the value of 788 x 0.0006.hence calculate the percentage error arising from this approximation
Form 4 Mathematics
(a)On the grid provided, draw a graph of the function y = 1/2 x^{2}  x + 3 for 0 ≤ x ≤ 6.
b) Calculate the mid ordinates for five strips between x = 1 and x = 6, and hence use the mid ordinate rule to approximate the area under the curve between x = 1, x = 6 and the x = axis c) Assuming that the area determined by integration to be the actual area, calculate the percentage error in using the mid ordinate rule Form 4 Mathematics
The equation of a curve is y = 2x^{3} + 3x^{2}.
a)Find i)The x – intercept of the curve ii) theyintercept of the curve b i)Determine the stationary points of the curve ii)For each point in (b) (i) above, determine whether it is a maximum or a minimum c) Sketch the curve. Form 1 Mathematics
Using a pair of compasses and ruler only, construct
a)i)Triangle ABC in which AB= 5 cm, <BAC=30 and <ABC = 105. ii)A circle that passes through he vertices of the triangle ABC. Measure the radius iii)the height of triangle ABC with AB as the base. Measure the height b) Determine the area of circle that lies outside the triangle correct to 2 decimal places Form 1 Mathematics
a)The ratio of Jumas and Akinyis earning was 5:3. Jumas earnings rose to Kshs 8400 after an increase of 12%
Calculate the percentage increase in Akinyis earnings given that the sum of their new earnings was kshs 14,100. b) Juma and Akinyi contributed all the new earnings to buy maize at Kshs 1175 per bag. The maize was then sold at Kshs 1762.50 per bag. The two shared all the money from the sales of the maize in the ratio of their contributions. Calculate the amount hat Akinyi got. Form 3 Mathematics
In the diagram below, the coordinates of points A and B are (1,6) and (15, 6) respectively.
Point N is on OB and that 30N = 2OB. Line OA is produced to L such that OL = 3OA.
a)Find vector LN b) Given that a point M is on LN such that LM: MN = 3: 4 find the coordinate of M c) If line OM is produced to T such a that OM: MT= 6:1 i)Find the position vector of T ii) Show that points L, T and B are collinear 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 
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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