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The velocity V of a body moving in a straight line at any time t is given by V=3t-2. Its distance S at time t=0 is equal to 4m. Calculate the distance when t=4 seconds
Date posted:
September 20, 2019
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In the figure below kite ABCD represents a part of a county government logo. The logo has symmetry order 4 about O. Complete the figure to show the logo
Date posted:
September 20, 2019
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(a) Expand and simplify the binomial expression (2x-y)5
(b) Use the first four terms of the expansion above to approximate the value of (3.8)5
Date posted:
September 20, 2019
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An arithmetic progression of 41 terms in such that the sum of the first five terms is 560 and sum of the last five terms is -250. Find the first term
Date posted:
September 20, 2019
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Given that 
express y in terms of d
Date posted:
September 20, 2019
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Miss Jaber bought a motor cycle at Shs.160,000. The depreciation rate was 6% per annum determined semi annually. How long will it take the motor cycle to be valued at a quarter of its original cost.
Date posted:
September 20, 2019
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Write an equation of a circle that has a diameter whose end points are at (2,7) and (-6, 15) in the form x2+y2+ax+by+c=0 where a,b and c are integers.
Date posted:
September 20, 2019
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A business lady bought 180 mangoes at Shs.60 for every five mangoes. She sold some of them at Shs.30 for every three and 33 1/3 % the rest at Sh.30 for every four. If she made a 33 1/3 % loss, calculate the number of mangoes sold at Shs.30 for every four
Date posted:
September 20, 2019
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Evaluate using logarithms
Date posted:
September 20, 2019
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Complete the table below.
Date posted:
September 20, 2019
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Using a ruler and a compass only
a) Construct a parallelogram ABCD such that AB = 10cm BC=7cm and < ABC
105o
b) Construct the loci of P and Q within the parallelogram such that AP < 4cm and BQ < 6cm
c) Calculate the area within the parallelogram and outside the region bounded by the two loci
Date posted:
September 20, 2019
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The table below gives the income tax rates.
a)Calculate income tax of Wanga’s taxable income of kshs.50,400 per month allowing a family relief of kshs. 520 per month.
b)Calculate the total tax as a percentage of taxable income
Date posted:
September 20, 2019
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Find the integral values of x which satisfy 6 ≤ 2x + 1 and 5x – 29 < - 4 .
Date posted:
September 20, 2019
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Five men working 8 hours daily complete a piece of work in 3 days. How long will it take 12 men working 5 hours a day to complete the same work.
Date posted:
September 20, 2019
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Write the expression of (2 – 1/5 x)6 up to the term in x4. Hence use the expansion to find the value of (1.96)6 correct to 3 decimal places.
Date posted:
September 20, 2019
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The position vectors of points A and B are a = 2i + j – 8k and b = 3i +2j – 2k respectively. Find the magnitude of AB.
Date posted:
September 20, 2019
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A quantity P varies partly as t and partly as the square of t.When t = 20, p = 45 , and when t = 24 , p = 60.
a)Express p in terms of t.
b)Find p when t = 32.
Date posted:
September 20, 2019
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In the figure below ABC is a tangent to the circle at point B.Given that BE =6.9cm, FE=7.8cm,GE=4.1cm,DC=11.2cm and ED = xcm.Determine the length BC,give your answer in four significant figures.
Date posted:
September 20, 2019
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Given that the matrix 
has no inverse, find x.
Date posted:
September 20, 2019
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The dimensions of a cuboid are 4.5cm by 3.5cm by 2cm.Find the percentage error in its volume giving your answer to 2 significant figure.
Date posted:
September 20, 2019
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Given that 
Find the values of a and b.
Date posted:
September 20, 2019
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Determine the amplitude, period and the phase angle of the wave represented by the equation.
Date posted:
September 20, 2019
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Express the recurring decimal below as a fraction; 4.372 leaving your answer in the form of a/b where a and b are integers.
Date posted:
September 20, 2019
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Make a the subject of the formula.
Date posted:
September 20, 2019
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Use logarithms only to evaluate,
Correct to four significant figures.
Date posted:
September 20, 2019
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A stone is hung from a horizontal beam by two strings. The longer string makes an angle of 420 with the horizontal and is 3.2m long. If the shorter string makes an angle of 600 with the horizontal, calculate its length.
Date posted:
September 20, 2019
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(a) Complete the table below for the function:
(b) Use the mid-ordinate rule with six ordinates to estimate the area enclosed by the curve of the functions y = x2 – 3x + 5, x – axis and the lines x = 2 and x = 8.
(c) Find the exact area of the region described in (b) above.
(d) If the mid-ordinates rule is used to estimate the area under the curve between x = 2 and x = 8, what will be the percentage error in the estimation?
Date posted:
September 20, 2019
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A farmer has at least 50 acres of land on which he plans to plant potatoes and cabbages.
Each acre of potatoes requires 6 men and each acre of cabbages requires 2 men. The farmer has 240 men available and he must plant at least 10 acres of potatoes. The profit on potatoes is Ksh. 1000 per acre and on cabbages is Ksh. 1200 per acre. If he plants x acres of potatoes and y acres of cabbages:
(a)Write down three inequalities in x and y to describe this information.
(b)Represent these inequalities graphically.
Date posted:
September 20, 2019
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In the diagram M is the midpoint of XZ. OX = p + 2q. Oz = 7p – 2q and ZY = 3Kq + Mp where
k, and m are constants.
(a)Express the following in terms of p and q.
(i) XZ
(ii) XM
(iii) OM
(b)Express OY in terms of p, q, k and m.
(c)If y lies on OM produced with OY:OM = 3:2. Find the values of k and m.
Date posted:
September 20, 2019
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The table below shows monthly income tax rates.
A government employee earns a monthly salary of Ksh. 24,200 and is provided with a house at a nominal rent of Ksh. 700 per month.
(a)Calculate the employee’s taxable pay in K£.
(b)Calculate the total tax.
(c)The employee is entitled to a personal relief of Kshs. 1056 per month; and a monthly insurance relief at the rate of 15% of the premium paid. Calculate the net tax paid by the employee if the monthly premium amounts to Kshs. 2,400 for life insurance cover
d)Calculate his / her net pay that month.
Date posted:
September 20, 2019