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a)Complete the table below for the function y = x3 + 2x2 – 3x – 4, to 1 d.p
b)Draw the graph of y = x3 + 2x2 – 3x – 4, using the values in the completed table.
c) Using your graph:
i) Solve the equation
x3 + 2x2 – 3x = 4.
ii) Estimate the coordinates of the turning points of the curve.
Date posted:
October 12, 2019
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A trapezium ABCD is such that the two parallel sides are of length 18cm and 26cm. AB = 9cm and angle ABC = 450. Calculate the area of the trapezium to 1 decimal place.
Date posted:
October 12, 2019
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The end points of a diameter of a circle are P (-3, -9) and Q (7, 15). Determine the equation of the circle in the form x2+y2+ax+by=c where a, b and c are constants.
Date posted:
October 12, 2019
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Find the equation of the normal to the curve y = 2x3 – 3x2 + 6, when x = 2.
Date posted:
October 12, 2019
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The sixth term of a geometric progression is 16 and the third term is 2. Determine the common ratio and the first term.
Date posted:
October 12, 2019
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Point R divides line PQ externally in the ratio 4:3. The position vectors of P and Q are 2i + j – 3k and i – 2j + k respectively. Find the position vector, of R.
Date posted:
October 12, 2019
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A businessman mixes sugar costing sh. 90 per kg with another type which costs sh.120 per kg. Find the ratio in which the two types should be mixed so that if a kilogram of the mixture is sold at ksh. 147 a profit of 50% is realized.
Date posted:
October 12, 2019
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The probability of a team losing a game is 1/5. The team plays the game until it wins. Find the probability that the team wins in the fourth round.
Date posted:
October 12, 2019
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Find the area of the shaded region shown in the figure below.
Date posted:
October 12, 2019
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The figure below represents a hollow cylinder. The internal and external radii are estimated to be 6cm and 8cm respectively, to the nearest whole number. The height of the cylinder is exactly 14cm.
a)Determine the exact values for the internal and external radii which will give maximum volume of the material.
b)Calculate the maximum possible volume of the material
Date posted:
October 12, 2019
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The current price of a vehicle is ksh. 500,000. The value of the vehicle depreciates at a rate of 15% p.a for the first two years and at 20% p.a thereafter. Find the number of years it will take for its value to reduce to ksh. 147,968.
Date posted:
October 12, 2019
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Make C the subject of the formula.
Date posted:
October 12, 2019
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A rectangle whose area is 15cm2 is transformed by a matrix 
.Determine the area of its image under the matrix of transformation.
Date posted:
October 12, 2019
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If 
find the value of a + b + c.
Date posted:
October 12, 2019
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The figure below shows a triangular prism ABCDEF
a)Draw the net of the prism
b)A fly walks from A to D along the diagonals of rectangular faces:
i)On your net show the locus of the fly.
ii)Measure the distance covered by the fly, one way.
iii)The fly takes 15 seconds to reach D one way. Calculate its’ speed in, km/h.
Date posted:
October 12, 2019
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The figure below shows a circle centre O and a cyclic quadrilateral ABCD. Angle ACB =400 and angle DAC =200 AOC is a straight line.
Giving reasons find the size of:
i)ABD
ii)BAC
iii)ACD
iv)CBD
v)Reflex ADC
Date posted:
October 12, 2019
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Four points P, Q, R and S lie on the same plane. Point P is 42km due south west of R. Q is 15km on a bearing of S60E from R. Point D is equidistant from P and Q.
a)Using a scale of 1cm represents 10km, construct a diagram showing the positions of P, Q, R and S
b)Using your diagram determine:
i)Distance between P and Q
ii)Bearing of S from P
iii)Distance from S to R
Date posted:
October 12, 2019
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A bus left Mombasa at 7.45 am towards Nairobi at an average speed of 60km/h. A saloon car left Mombasa at 9.15 am on the same day along the same road at an average of 120km/h. the distance between Mombasa and Nairobi is 360km.
a)Determine the time of day when the salon car overtook the bus.
b)Both vehicles contained towards Nairobi at their original speed. How long had the saloon car waited in Nairobi before the bus arrived.
Date posted:
October 12, 2019
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A tourist in Nakuru had 870 Euros, 629 pounds and some dollars. If on changing his money he had Ksh 0.18 million, how much dollars did he have before changing his money, if he was charged a tax of 10%, when the exchange rates were:-
1 pound = Ksh 70, 1 dollar = Ksh 120 and 1 Euro = Ksh 106.
Give your answer to the nearest whole number.
Date posted:
October 12, 2019
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Giving reasons, find the value of y in the figure below.
Date posted:
October 12, 2019
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If 2x + y = 16 and 42x-y = ¼, find y – x: 2y
Date posted:
October 11, 2019
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Water and alcohol are mixed in the ratio 1:4. If the density of water and alcohol are 1g/cm3 and 0.8g/cm3 respectively. Find the density of the mixture.
Date posted:
October 11, 2019
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The projection of a line onto a plane is two thirds the length of the line. Find the angle between the line and the plane.
Date posted:
October 11, 2019
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Line AB is such that A(5, -2) and B(7, -4). The line is mapped onto A1(5, -12) and B1(3, -10), by an enlargement. Determine the centre and scale factor of the enlargement. (Use the grid given)
Date posted:
October 11, 2019
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When a retailer sold an article at Ksh 550 after a discount of 15%, he made a profit of 10%. What would have been his profit if he did not allow the discount?
Date posted:
October 11, 2019
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Simplify completely the expression.
Date posted:
October 11, 2019
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Use logarithms tables only to evaluate.
Date posted:
October 11, 2019
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The mean of the number k, 8k + 1, 17 and 20 is 14. Find the mode of the numbers.
Date posted:
October 11, 2019
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Without using a calculator evaluate
Date posted:
October 11, 2019
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Two fair dice one a regular tetrahedron (4 faces) and the other a cube are thrown. The scores are added together. show all possible outcomes.
a)Find the probability that:
i) The sum is 6.
ii) The sum is an odd number.
iii)The sum is 6 or 9.
b)If a player wins a game by throwing a sum of 6 or 9, draw a tree diagram and use it to find
probability that he wins at least once when the dice are thrown twice
Date posted:
October 9, 2019