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A straight line through the points A (2,1) and B (4,m) is perpendicular to the line whose equation is 3y = 5-2x.
Determine the value of...
(Solved)
A straight line through the points A (2,1) and B (4,m) is perpendicular to the line whose equation is 3y = 5-2x.
Determine the value of m and it's equation.
Date posted:
April 30, 2019
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Answers (1)
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Solve 4x -3 = 6x -1< 3x + 16 and list all the integral values of x.
(Solved)
Solve 4x -3 ≤ 6x -1< 3x + 16 and list all the integral values of x.
Date posted:
April 30, 2019
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Answers (1)
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The product of the first three terms of a geometric progression is 64. If the first term is a and the common ratio is r,
(Solved)
The product of the first three terms of a geometric progression is 64. If the first term is a and the common ratio is r,
a) Express r in terms of a
b) Given that the sum of the three terms is 14;
i) Calculate the values of a and r and hence write down two possible sequences each up to the 4th term
ii) Find the product of the 50th terms of the two sequences
Date posted:
April 29, 2019
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Answers (1)
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The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m2.
(Solved)
The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m2.
(i) Calculate the perimeter of the floor
(ii) A rectangular carpet is placed on the hall leaving an area of 64cm2. If the length of the carpet is twice its width,determine the width of the carpet
Date posted:
April 29, 2019
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Answers (1)
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Three quantities R, S, T are such that R varies directly as S and inversely as the square of T.
(Solved)
Three quantities R, S, T are such that R varies directly as S and inversely as the square of T.
(a) Given that R = 480 when S = 150 and T = 5, write an equation connecting R, S and T
(b) (i) Find the value of R when S = 360 and T = 1.5
(ii) Find the percentage change in R if S increases by 5% and T decreases by 20%
Date posted:
April 29, 2019
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Answers (1)
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The table below shows income tax rates for a certain year.
(Solved)
The table below shows income tax rates for a certain year.
A tax relief of Kshs. 1162 per month was allowed. In a certain month of the year, an employee’s taxable income in the
fifth band was Kshs. 2108.
a) Calculate:
i) Employees total taxable income in that month
ii) The tax payable by the employee in that month
b) The employees income includes a house allowance of Kshs. 15,000 per month. The employees contributed 5% basic
salary to a cooperative society. Calculate the employees net pay for that month.
Date posted:
April 29, 2019
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Answers (1)
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Point T is the mid-point of a straight line AB. Given that the position vectors of A and T are i-j+k and 2i + 1½...
(Solved)
Point T is the mid-point of a straight line AB. Given that the position vectors of A and T are i-j+k and 2i + 1½ k
respectively, find the position vector of B in terms of i , j and k.
Date posted:
April 29, 2019
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Answers (1)
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The image of P(0,2), under an enlargement with a scale factor 3 is P’ (4,6). Find the centre of enlargement.
(Solved)
The image of P(0,2), under an enlargement with a scale factor 3 is P’ (4,6). Find the centre of enlargement.
Date posted:
April 29, 2019
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Answers (1)
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Solve the inequality 2x + 3> 5x – 3> - 8 and represent your answer on the number line
(Solved)
Solve the inequality 2x + 3> 5x – 3> - 8 and represent your answer on the number line
Date posted:
April 29, 2019
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Answers (1)
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Tap P can fill a tank in 2 hours and tap Q can fill the same tank in 4 hours. Tap R can empty the...
(Solved)
Tap P can fill a tank in 2 hours and tap Q can fill the same tank in 4 hours. Tap R can empty the tank is 3 hours.
a) If tap R is closed, how long would it take taps P and Q to fill the tank?
b) Calculate how long it would take to fill the tank when the three taps P, Q and R are left running.
Date posted:
April 29, 2019
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Answers (1)
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In the figure below OY = 20B, OX = 5/2 OA, OA = a and OB = b
(Solved)
In the figure below OY = 20B, OX = 5/2 OA, OA = a and OB = b
a) Express the following in terms of a and b
(i) AB
(ii) XY
(b) Given that AC = 6AB, express OC & XC interms of a and b
(c) Show the points X, Y and C are collinear
(d) State the ratio in which C divides XY
Date posted:
April 29, 2019
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Answers (1)
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The displacement, S metres, of a moving particle after t seconds is given by
S = 40t3 – t2 + 3t + 3. Determine:
(Solved)
The displacement, S metres, of a moving particle after t seconds is given by
S = 40t3 – t2 + 3t + 3. Determine:
(a) The velocity of the particle when t= 3 seconds
(b) The value of t when the velocity of the particle is 4M/S
(c) The displacement when the particle velocity is 4M/S
(d) The acceleration of the particle when t = 3 seconds
Date posted:
April 29, 2019
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Answers (1)
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The diagram below shows a cross-section of a bottle. The lower part ABC is a hemisphere of radius 5.2cm and the
upper part is a frustrum...
(Solved)
The diagram below shows a cross-section of a bottle. The lower part ABC is a hemisphere of radius 5.2cm and the upper part is a frustrum of a cone. The top radius of the frustrum is one third of the radius of the hemisphere. The hemisphere part is completely filled with water as shown in the diagram.
(a) Determine the height of the frustrum part.
(b) Find the surface area of the frustrum part of the bottle.
Date posted:
April 29, 2019
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Answers (1)
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The distance between towns M and N is 280km. A car and a lorry travel from M to N.
The average speed of the lorry is...
(Solved)
The distance between towns M and N is 280km. A car and a lorry travel from M to N.
The average speed of the lorry is 20km/h less than that of the car. The lorry takes 1h 10min more than the car to
travel from M to N.
a) If the speed of the lorry is xkm/h, find x
b) The lorry left town M at 8.15am. The car left town M later and overtook the lorry at 12.15pm. Calculate the time the car left town M.
Date posted:
April 29, 2019
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Answers (1)
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On the diagram below, the line whose equation is 7y – 3x + 30 = 0 passes through the points A and B. Point A...
(Solved)
On the diagram below, the line whose equation is 7y – 3x + 30 = 0 passes through the points A and B. Point A is on
the x-axis while point B is equidistant from x- and y-axes.
Calculate the co-ordinates of the point A and B
Date posted:
April 29, 2019
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Answers (1)
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A trader bought 360 trays of eggs at shs. 120 per tray. He later discovered that 8% of the eggs were bad and could not be...
(Solved)
A trader bought 360 trays of eggs at shs. 120 per tray. He later discovered that 8% of the eggs were bad and could not be sold. If he has to make a profit of 25%, how much should he sell the good eggs per tray.
Date posted:
April 29, 2019
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Answers (1)
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The ratio of Mueni’s earnings to Kilonzo’s earning is 5:3. If Mueni’s earnings is increased by 17% her new figure
becomes Kshs. 18,000. Find the corresponding...
(Solved)
The ratio of Mueni’s earnings to Kilonzo’s earning is 5:3. If Mueni’s earnings is increased by 17% her new figure
becomes Kshs. 18,000. Find the corresponding percentage change in Kilonzi’s earnings if the sum of their new
earnings is Kshs. 24,600.
Date posted:
April 29, 2019
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Answers (1)
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Evaluate without using a calculator
(Solved)
Evaluate without using a calculator
Date posted:
April 29, 2019
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Answers (1)
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A merchant blends 350kg of tea costing Sh. 84 kg with 140kg of tea costing Sh. 105 per kg. At what price must he sell
the...
(Solved)
A merchant blends 350kg of tea costing Sh. 84 kg with 140kg of tea costing Sh. 105 per kg. At what price must he sell
the mixture to gain 25%
Date posted:
April 29, 2019
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Answers (1)
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The first, the third and the seventh term of an increasing arithmetic progression are three consecutive terms of a geometric progression. If the first term...
(Solved)
The first, the third and the seventh term of an increasing arithmetic progression are three consecutive terms of a geometric progression. If the first term of the arithmetic progression is 10, find the common difference of the arithmetic progression
Date posted:
April 29, 2019
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Answers (1)