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Given that Sin theta =5/13,determine the value of tan (90 - theta) without using a calculator or mathematical tables.
Date posted:
April 30, 2019
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The table below shows masses of marbles in a certain lab.
Estimate the median using calculation.
Date posted:
April 30, 2019
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Simplify the fraction.
Date posted:
April 30, 2019
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The sides of a triangle were measured to 1dp as 6.4cm, 7.3cm and 8.2cm respectively. Calculate the percentage error in its perimeter.
Date posted:
April 30, 2019
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The velocity of a particle after t seconds is given by V = t2 – 4t + 4m/s. Determine the;
(a) initial velocity of the particle.
(b) time taken the particle is momentarily at rest.
(c) acceleration of the particle at t = 4.
(d) displacement of the between t = 1 seconds and t = 13 seconds.
Date posted:
April 30, 2019
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A,B,C and D are four schools where B is 84km north of A an C is on a bearing of N650W from A at a distance of 60km. D
is on a bearing of N200W from C and at a distance of 30km.Use a scale drawing to show relative positions of A,B,C and D using a scale of 1cm to represent 10km.
Find;
(a) the distance and bearing of B from C.
(b) the bearing and distance of D from B.
(c) the bearing of A and D.
Date posted:
April 30, 2019
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The length and the width of a rectangular are (6x-1) and (x – 2) respectively. If the length and width are each
increased by 4cm the new area is thrice that of the initial rectangle.
The length and the width of a rectangular are (6x-1) and (x – 2) respectively. If the length and width are each
increased by 4cm the new area is thrice that of the initial rectangle.
(a) Find the dimension of the initial rectangle.
(b) By what percentage does the area of the rectangle increase after the change.
(c) What is the difference in size between the length and the width of the initial rectangle.
Date posted:
April 30, 2019
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In the figure below, O is the centre of the circle. Angle AEB = 500, angle EBC = 800 and angle ECD = 300. Giving reasons
calculate:
(a) Angle CDE
(b) Angle DFE
(c) Obtuse angle COE
(d) Angle ADE
Date posted:
April 30, 2019
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Use a ruler and a pair of compasses only for all construction in this question.
(a) Construct qualilateral PQRS such that PQ = 5cm, PS = 5cm and SR = 4.5cm, angle SPQ = 750 and angle PSR=900.
(b) Drop a perpendicular from S to meet line PQ at N. Measure SN and calculate the area of the triangle SPN.
(c) Construct a circle passing through vertices P, Q and R of quadrilateral PQRS. Measure the radius of the circle.
Date posted:
April 30, 2019
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(a) A lamp shade is in the form of a frustum of a cone of diameter 21cm and 28cm. Find it's height if the height of the cone that was cut off is 10cm.
(b)Calculate the volume of the lampshade.
(c) Two circles each of radius 5cm intersects such that the distance between their centres is 6cm. The
length of the common chord joining the two points of intersection is 8cm. Calculate the area of intersection.
Date posted:
April 30, 2019
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The figure below is a right rectangular based pyramid VABCD where AB = 5cm, BC = 7cm, VC = 13cm and O is a point
on the base of the pyramid vertically below V.
Calculate
(a) AC
(b) VO, the height of the pyramid.
(c) the angle between the edge VB and the plane ABCD.
(d) the angle between the planes VBC and ABCD.
Date posted:
April 30, 2019
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The cost per kg of Sony Sugar is KSh. 60 and the cost per kg of Imported Sugar is KSh. 80. The two brands of Sugar are
mixed and sold at a profit of 30% above the cost. If 1kg of the mixture was sold at KSh. 84.50, determine the ratio in
which the two brands were mixed.
Date posted:
April 30, 2019
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Using reciprocal tables only evaluate correct to 4 S.F
Date posted:
April 30, 2019
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The figure below shows the section of a wedge. AB = 4cm, BC = 13cm, CD = 12Ccm, AD = 3cm and BD = 5cm.
Given that angle ADC = 900, find the volume of the solid and the length of AC.
Date posted:
April 30, 2019
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Solve the inequality below and state the integral values satisfying the solution.
Date posted:
April 30, 2019
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Without using a calculator evaluate 
giving your answer as a mixed fraction.
Date posted:
April 30, 2019
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A regular polygon has the sum of its interior angles as 18000.
(i) How many sides are there in the polygon?
(ii) How many triangles can be made by joining one of its vertices with all other vertices with straight lines.
Date posted:
April 30, 2019
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A ship sails from harbour P on an bearing 0300 for 900km until it reaches harbour Q. It then alters its direction to a bearing of 3400 and sails from 1200km to harbour R. Calculate the distance between harbours P and R.
Date posted:
April 30, 2019
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Simplify the expression completely:
Date posted:
April 30, 2019
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A trader at Chuka town sells a school shirt at Sh. 725 and makes 45% profit. During clearance sale he reduced the price of the shirt by 20%. What percentage profit did he make.
Date posted:
April 30, 2019
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The figure below shows a net of a solid which is not drawn to scale.
(a) Sketch the solid ABCDEF with ABCD as the base. (2 Marks)
(b) Calculate its volume.
Date posted:
April 30, 2019
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A rectangular slab of glass measures 8cm by 3cm by 2cm and has a mass of 5.5kg. Calculate the density of glass in g/cm3.
Date posted:
April 30, 2019
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Use the prime factors of 3136 and 2744 to evaluate:
Date posted:
April 30, 2019
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Evaluate using logarithms
Date posted:
April 30, 2019
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In the figure below,DE=1/2AB,BC=2/3BD and the coordinates of A, B and D are (5, 4), (9, 6) and (12, 0) respectively.
Find the column vectors:
i) BD
ii) BC
iii) CD
iv) AC
Date posted:
April 30, 2019
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Solve for theta in the equation 3 cos2theta + sin theta + 1 = 0 0 ≤ theta ≤ 3600
Date posted:
April 30, 2019
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a)Draw the graph of the function y = 1 + x -2x2 on the graph paper provided.
b) Use your graph to find the value for x in the equation 1 + x -2x2 = 0
c) By drawing a suitable line graph on the same graph find the value for x which satisfies the equation 2 + 2x- 2x2 = 0
Date posted:
April 30, 2019
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An aircraft leaves town P ( 30oS, 17oE) and moves directly northwards to Q(60°N, 17°E). It then moved at an average speed of 300 knots for 8 hours westwards to town R. Determine;
a) The distance PQ in nautical miles.
b) The position of town R.
c) The local time at R if local time at Q is 3.12p.m
d) The total distance moved from P to R in kilometers. Take 1 nautical; = 1.853 kilometres.
Date posted:
April 30, 2019
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A particle P moves in a straight line so that its velocity, V m/s at time t ≥ 0 seconds t is given by V = 28 + t – 2t2. Find.
a) The time when p is momentarily at rest.
b) The speed of P at the instant when the acceleration of the particles is zero.
c) Given that P passes through the point O of the line when t = 0, find the distance of P from O when P is momentarily
at rest.
Date posted:
April 30, 2019
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Every evening before the end of preps, Eunice either reads a novel or solves a mathematical problem. The probability
that she reads a novel is 4/5.If she read a novel, there is a probability of 3/4 that she will fall asleep. If he solves a mathematical problem, there is a probability of 1/4 that she will fall asleep. Sometimes the teacher on duty enters Eunice’s classroom. When Eunice is asked whether she had been asleep, there is a probability of only 1/5 that she will
admit that she had been asleep and a probability of 3/5 that she will claim to have been asleep when she had not been asleep
By use of a tree diagram, find the probability that
a) She sleeps and admits
b) She sleeps and does not admit
c). She does not sleep but claims that she had been asleep
d). She does not sleep and says that she has not been asleep
Date posted:
April 30, 2019