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A blender mixes two brands of Juice A and B to obtain 70mls of the mixture worth Ksh. 165 per litre. If brand A is valued at Ksh. 168 per 1 litre bottle and brand B at Ksh. 153 per 1 litre bottle, calculate the ratio in which the bands A and B are mixed.
Date posted:
September 20, 2019
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A stone is thrown vertically upwards from Point O. After t seconds the stone is S metres from O. Given that S = 29.4t – 4.9t2, find the maximum height reached by the stone.
Date posted:
September 20, 2019
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A circle whose equation is (x – 1)2 + (y – k)2 = 10 passes through point (2,5). Find the coordinates of the two possible centres of the circle.
Date posted:
September 20, 2019
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Make r the subject in the formular:
Date posted:
September 20, 2019
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Expand (2 + 1/5x)8 up to the term in x3. Use your expansion to evaluate (2.04)8 correct to 4 decimal places.
Date posted:
September 20, 2019
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Use logarithm table to evaluate:
Date posted:
September 20, 2019
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The curve y=3x2- 6x + 6 passes through the point s ( 2,3)
(a)Determine the gradient function of the curve.
(b) Find the co-ordinates of the turning point of the curve.
(c) Determine whether the point is a minima or a maxima.
(d) Find the equation of the
(i) Tangent to the curve at S.
(ii) Normal to the curve at S.
Date posted:
September 20, 2019
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The relationship between two variables S and T is given by the equation S = KTn where K and n are constants.
(a) Write down the linear equation relating to S and T
(b) Hence complete the table above for the linear equation relating to S and T.
(c) Draw a suitable straight line graph to represent the data.
(d) use your graph to determine the values of K and n.
(e) find the value of S when T = 3.5
Date posted:
September 20, 2019
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Mr. Korir bought a tractor valued at Ksh. 800,00. the value of the tractor is depreciating at 20% p.a
(a) Calculate the value of the tractor after 4 years.
(b) Find the time it would take for its value to be Ksh. 400,000. give you’re answer correct to 2 decimal
places.
(c) If after 4 years the tractor is sold through a broker who charge 5% commission find the amount received
by Mr. Korir from the sale
Date posted:
September 20, 2019
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Complete the table below giving the values to 2 decimal places.
Date posted:
September 20, 2019
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Three quantities P,Q,and R are such that P varies jointly with Q and the square of R . if P = 900 when
Q = 20 and R = 3
Find (i) an equation connecting P, Q and R
(ii) the value of R when Q = 10 and P = 800
Date posted:
September 20, 2019
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The sum of the first 14 of an AP is 595. Given that the sum of the first 8 terms of the same AP is 220
Find the
(i) the first term
(ii) the common difference.
Date posted:
September 20, 2019
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The equation of a circle is x2+y2-25y=-14x+38. Determine the centre and the radius of the circle
Date posted:
September 20, 2019
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Find the exact area enclosed by the curve y=3x2,the x-axis and the line x=2 and x=4.
Date posted:
September 20, 2019
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A coffee trader buys two grades of coffee at sh. 80 and sh. 100 per parket . Find the ratio at which she
should mix them so that by selling the mixture at a sh. 120, a profit of 25% is realized.
Date posted:
September 20, 2019
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Find the distance in kilometers between places R(40oS,25oW) and S(40oS,120oE) along the parallel of latitude(Take radius of the earth to be 6370km and pi = 22/7) correct to 2 d.p.
Date posted:
September 20, 2019
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The table below shows the marks obtained by Form 3 students of Rehema Secondary School in Mathematics Exam. The total numbers of students were 100.
Find the standard deviation of the distribution.
Date posted:
September 20, 2019
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Solve the equation;
Log (x2-8x+20) = Log 4 + Log (x-4)
Date posted:
September 20, 2019
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Rationalize the following leaving your answer in the simplified surd form.
Date posted:
September 20, 2019
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Give that x= 4 is a root of x2+kx-20=0. Find the value of k and thus other roots
Date posted:
September 20, 2019
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Copy and complete the table below for the function y=4+5x-x2 for -2≤x≤7
Date posted:
September 20, 2019
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A supermarket is stocked with plates which come from two suppliers A and B. They are bought in the ratio of 3:5 respectively, 10% of plates from A are defective and 6% of the plates from B are defective.
(a) A plate is chosen by a buyer at random. Find the probability that;
(i) it is from A
(ii) it is from B and it is defective.
(iii) it is defective
(b) Two plates are chosen at random. Find the probability that:
(i) both are defective
(ii) at least one is not defective.
Date posted:
September 20, 2019
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The points X and Y are both on latitude 39oN. The longitude of X is 73oW and the longitude of Y is 18oW . Two ships P and Q leave X at the same time and travel to Y along the line of latitude. The ships P and Q travel at constant speeds of 25km/hr and 20km/h respectively. Taking the radius of the earth to be 6371km and π= 22/7 ;Calculate:-
(a) The distance Q still has to travel when P reaches Y.
(b) At the same time a third ship R leaves Y traveling due west at an average speed of 15km/hr.
Calculate the longitude of the point at which R meets P.
Date posted:
September 20, 2019
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In a square PQRS, A is the mid-point of PQ and B is the mid-point of QR, while C is a point on BP such that 2BC = 3CP. The co-ordinates of P, Q and S are (4,4), (14,4) and (4,14) respectively. Find:
(a) (i) the column vectors of PQ and PS.
(ii) co-ordinates of R
(b) Show that A, C, S are collinear.
Date posted:
September 20, 2019
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Find the equation of the tangent to the circle x2+y2-8x+2y+7=0 at the point (3, 2). Give your answer in the form y=ax+b.
Date posted:
September 19, 2019
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Without using mathematical tables and calculators simplify:
Date posted:
September 19, 2019
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Use matrix method to solve simultaneous equations.
3x + 7y = 11
x – y + 4 = 0
Date posted:
September 19, 2019
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The distance between Sotik and Nakuru is 130km. car x starts from Sotik at 8.00 a.m and travels at 40km/hr towards Nakuru. A second car y starts traveling from Nakuru at 8.15 a.m towards Sotik at an average speed of 35km/hr. At what time will the two cars meet?
Date posted:
September 19, 2019
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A variable P varies as the square of Q and inversely as square root of R. Find the percentage change in P when Q is increased by 5% and R reduced by 19%.
Date posted:
September 19, 2019
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Make C the subject of the formula.
Date posted:
September 19, 2019