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Find the value of x in the equation
36x+1 + 62x = 222
Date posted:
November 13, 2019
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The first three terms of a sequence are given a 10, 14 and 18. Find the sum of the first 18 terms of the sequence.
Date posted:
November 13, 2019
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Without using a calculator evaluate.
Date posted:
November 13, 2019
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The table below shows the income tax rates
Juma is a salaried employee who is given an automatic house allowance of sh. 8000 monthly. He also gets a single relief of Ksh1320. If his P.A.Y.E is Ksh 5420 a month,
(a) Find his total tax in shillings per annum
(b) How much does he earn per month?
Date posted:
November 12, 2019
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The table below gives the marks obtained in a mathematics test by 47 students.
(a) State the modal class
(b) Draw a cumulative frequency curve to represent the above data.
(c) Use your graph to estimate
(i) Median
(ii) Lower quartile
(iii) Upper quartile
(d) Calculate the quartile deviation
Date posted:
November 12, 2019
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(a) Using trapezoidal rule estimate the area bounded by the curve y=3x2 − 2 and the lines x=−4 ,x=4 and x−axis.
(b) find the actual area bounded by the curve y=3x2 − 2 and the lines x=−4 ,x=4 and x−axis.
(c) Calculate the percentage error when trapezoidal rule is used.
Date posted:
November 12, 2019
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The probability that a boy goes to school by bus is 1/3 and by matatu is ½. If he uses a bus the probability that he is late to school is 1/5 and if he uses a matatu the probability of being late is 3/10. If he uses other means of transport, the probability of being late is 1/20. What is he probability that;
(a) He will be late to school
(b) He will not be late to school
(c) He will be late to school if he does not use a matatu
(d) He neither uses a bus nor matatu but arrives to school early.
Date posted:
November 12, 2019
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The first term of A.P is 3.5, the common difference is d if the difference of 20th and 6th terms is 40.
(a) (i)find the common difference, d
(ii) calculate the sum of the first 40 terms of the AP
(b) The progression is such that the 2nd , 14th and 85th terms of the AP forms the first 3 terms of a G.P. If the common difference of A.P is 2.5
Find
(i) 2nd term of the G.P
(ii) Sum of the two 10 terms of G.P
Date posted:
November 12, 2019
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An aeroplane that moves at a constant speed of 600 knots flies from town A (140N, 300W) southwards to town B (X0S, 300W) taking 3 1/2 hrs. It then changes direction and flies along latitude to town C (X0S, 600E). Given π = 3.142 and radius of the earth R= 6370 km
(a) Calculate
(i) The value of X
(ii) The distance between town B and town C along the parallel of latitude in km.
(b) D is an airport situated at (50N, 1200W), calculate
(i) The time the aeroplane would take to fly from C to D following a great circle through the South Pole.
(ii) The local time at D when the local time at A is 12.20 pm
Date posted:
November 12, 2019
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The figure below shows a frustum of a square based pyramid (not drawn to scale). The base ABCD is a square of sides 10cm. The top A’B’C’D’ is a square of side 4 cm and each slant edges of the frustum is 5cm long. Calculate the angle between AC’ and the line AC.
Date posted:
November 12, 2019
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Draw a line DF = 4.6cm.Construct the locus of point K above DF such that angle DKF = 700.
Date posted:
November 12, 2019
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Triangle ABC has vertices A(1,0), B(4,0) and C(1,4) is mapped onto A’B’C’ under a shear matrix, x axis invariant and C(1,4) is mapped onto C’(7,4). Find the shear matrix hence find the coordinates of the image of P(2,-3) and Q(-2,-3).
Date posted:
November 12, 2019
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Calculate all the values of x between -180° and +180° which satisfy the equation 6 cos (x − 30)° = −3.
Date posted:
November 12, 2019
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The cost of a matatu was sh. 950 000.It depreciated in value by 5% per year for the first 2 years and 15% per for the subsequent years. Calculate the value of the matatu after 5 years.
Date posted:
November 12, 2019
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Given that P varies directly as V and inversely as the cube root of R and that P = 12 when V = 3 and R = 2,
(i) Find an equation connecting P, V and R.
(ii) Find the percentage change in P if V is increased by 12% and R decreased by 36%
Date posted:
November 12, 2019
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The radius and height of a cylindrical Kentank rounded to 1 cm are 105 cm and 300 cm respectively.
Calculate the percentage error in its volume.
Date posted:
November 12, 2019
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Given that 
and that a and b are rational numbers, find the values of a and b.
Date posted:
November 12, 2019
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Use the method of completing the square to solve
4 − 9x − 3x2 = 0
Date posted:
November 12, 2019
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Solve for x in log3 
= log5 0.5.
Date posted:
November 12, 2019
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(a) Expand and simplify (x − 1/2x)6 up to the term in x3 and state the constant term.
(b) Use this expansion to calculate to 4 d.p the value of (0.96)6.
Date posted:
November 12, 2019
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Make h the subject of the formula.
Date posted:
November 12, 2019
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In this question, show all the steps in your calculations, giving the answer at each stage. Use logarithms correct to decimal places, to evaluate.
Date posted:
November 12, 2019
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The speed of projectile v m/s at a given time t is given by v=10(10t-t2) calculate
a. The time when the velocity is maximum
b. The maximum velocity attained
c. The distance traveled by the body in the first 6 seconds
d. The acceleration of the projectile at t=6.5sec
Date posted:
November 12, 2019
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(a) Complete the table below for the function y = 2x2 + 3x – 5.
(b) On the grid provided draw the graph of y = 2x2 + 3x – 5 for -4 = x = 2
(c) Use your graph to state the roots of
(i) 2x2 + 3x – 5 = 0
(ii) 2x2 + 6x – 2 = 0
Date posted:
November 12, 2019
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Four towns A, B, C and D are such that B is 84km direct to the north of A and C is on a bearing of N 65oW from A at a distance of 60km. D is on a bearing of 340o from C at a distance of 30km. Using a scale of 1 cm rep 10km
a) Make an accurate scale drawing showing the relative positions of the towns
b) Find the distance and bearing of B from C
c) Find the distance and bearing of D from B
d) Find the bearing of A from D
Date posted:
November 12, 2019
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The figure above shows two circles ABPQ and ABSR intersecting at A and B. QART, PBS and ABU are straight lines. The line TSU is a tangent to the circle ABSR at S. Given that ˂BPQ = 80o, ˂PBU = 115o and ˂BUS = 70o.
Find & state reasons for the following angles
a) ˂BRS
b) ˂BSU
c) ˂STR
d) ˂BAR
e) ˂ARB
Date posted:
November 12, 2019
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(a). The price of an article is marked as sh.12,000. Mr. Mulmulwas sold the article at a discount of 10% and still made a profit of 5%. Calculate the cost of the article.
(b). Mr. Mulmulwas made a loss of 30% by selling an electric kettle at sh.700. What profit would he have made if she had sold it at sh.1150?
(c). Mr. Mulmulwas is a real estate agent who is entitled to a commission on all properties bought through him. During a certain month he sold 2 mansions at sh. 2.54 million each, 4 flats at sh. 582,000 each and 5 bungalows at sh.354,000 each and he was paid a total commission of sh.458,900. Calculate the percentage rate of commission he was paid.
Date posted:
November 12, 2019
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Given A 
find AB.
Date posted:
November 12, 2019
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Matrices P and Q are given by P = (3 1 2)and Q = (1 2 -1) Find the product PQ.
Date posted:
November 12, 2019
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Find all the integral values of x which satisfy the inequalities
20 − x > 5 + 2 x ≥ x + 5
Date posted:
November 12, 2019