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Solve for x and y in the simultaneous equation below.
xy + 6 = 0
x – 2y = 7
(Solved)
Solve for x and y in the simultaneous equation below.
xy + 6 = 0
x – 2y = 7
Date posted:
August 26, 2019
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Answers (1)
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The thickness of a mathematics text book is 0.8cm. Eight such books are piled together on a table. Find the limit within which the height...
(Solved)
The thickness of a mathematics text book is 0.8cm. Eight such books are piled together on a table. Find the limit within which the height of the pile lies.
Date posted:
August 26, 2019
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Answers (1)
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Water flows from a pipe at the rate of 250 litres per minute. If the pipe is used to drain a tank full of water measuring...
(Solved)
Water flows from a pipe at the rate of 250 litres per minute. If the pipe is used to drain a tank full of water measuring 3.2m by 2.5m by 2m, how many minutes would it take to drain the tank completely?
Date posted:
August 26, 2019
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Answers (1)
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A coffee blender mixes 6 parts of type A with 4 parts of type B. type A costs sh. 72 while type B costs sh....
(Solved)
A coffee blender mixes 6 parts of type A with 4 parts of type B. type A costs sh. 72 while type B costs sh. 66 per kg. At what price should he sell the mixture per kg in order to make 5% profit give your answer to the nearest ten cents.
Date posted:
August 26, 2019
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Answers (1)
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X, Y and Z are three quantities such that X varies directly as the square of Y and inversely as the square root of Z.
a)...
(Solved)
X, Y and Z are three quantities such that X varies directly as the square of Y and inversely as the square root of Z.
a) Given that X = 18 when Y = 3 and Z = 4, find X when Y = 6 and Z = 16.
b) If Y increases by 10% and Z decreases by 19%, find the percentage increase in X.
Date posted:
August 26, 2019
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Answers (1)
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The table below shows how income tax was charged in a certain year.
(Solved)
The table below shows how income tax was charged in a certain year.

During the year Mwadime earned a basic salary of Ksh. 25,200 and a house allowance of Ksh. 12,600 per month. He was entitled to a personal tax relief of Ksh. 1,162 per month.
a) Calculate:
i) Mwadime’s taxable income in Kenya pounds per annum.
ii) The net tax he pays per month.
b) Apart from income tax he also contributes monthly NHIF Ksh. 1600, WCPS Ksh. 1000. Calculate his net monthly pay.
Date posted:
August 26, 2019
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Answers (1)
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A firm has a fleet of vans and trucks. Each van can carry 9 crates and 3 cartons. Each truck can carry 4 crates and 10...
(Solved)
A firm has a fleet of vans and trucks. Each van can carry 9 crates and 3 cartons. Each truck can carry 4 crates and 10 cartons. The firm has to deliver not more than 36 crates and at least 30 cartons.
(a) If x vans and y trucks are available to make the delivery. Write down inequalities to represent the
above information.
(b) Use the grid provided, to represent the inequalities in (a) above
(c) Given that the cost of using a truck is four times that of using a van, determine the number of vehicles that may give minimum cost
Date posted:
August 26, 2019
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Answers (1)
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A bus left Kitale at 10.45 a.m and travelled towards Nairobi at an average speed of 60 km/h. A Nissan left Kitale on the same...
(Solved)
A bus left Kitale at 10.45 a.m and travelled towards Nairobi at an average speed of 60 km/h. A Nissan left Kitale on the same day at 1.15 p.m and travelled along the same road at an average speed of 100 km/h. The distance between Kitale and Nairobi is 500 km.
a) Determine the time of the day when the Nissan overtook the bus.
b) Both vehicles continued towards Nairobi at their original speed. Find how long the Nissan had to wait in Nairobi before the bus arrived.
Date posted:
August 26, 2019
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Answers (1)
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A red and black dice are rolled and the events X, Y and Z are defined as follows.
X = The red die shows a 4
Y...
(Solved)
A red and black dice are rolled and the events X, Y and Z are defined as follows.
X = The red die shows a 4
Y – The sum of the scores of the two dice is 6
Z – The black die shows a 3
(a) Find the probability of event X
(b) The probability of events X and Z
(c) Which event is mutually exclusive to X
(d) Which event is independent of X
(e) The probability of event Y
Date posted:
August 26, 2019
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Answers (1)
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Without using mathematical tables or calculators express in surd form and simplify
(Solved)
Without using mathematical tables or calculators express in surd form and simplify

Date posted:
August 26, 2019
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Answers (1)
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Vector OP = 6i + j and OQ = -2i + 5j. A point N divides PQ internally in the ratio 3:1. Find PN in...
(Solved)
Vector OP = 6i + j and OQ = -2i + 5j. A point N divides PQ internally in the ratio 3:1. Find PN in terms
of i and j.
Date posted:
August 26, 2019
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Answers (1)
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A small cone of height 8 cm is cut off from a bigger cone to leave a frustum of height 16 cm. If the volume...
(Solved)
A small cone of height 8 cm is cut off from a bigger cone to leave a frustum of height 16 cm. If the volume of the smaller cone is 160 cm3, find the volume of the frustum.
Date posted:
August 26, 2019
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Answers (1)
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A salesman earns a basic salary of sh. 9,000 per month. In addition he is also paid a commission of 5% for sales above sh....
(Solved)
A salesman earns a basic salary of sh. 9,000 per month. In addition he is also paid a commission of 5% for sales above sh. 15,000. In a certain month he sold goods worth sh. 120,000 at a discount of 2½%. Calculate his total earnings that month.
Date posted:
August 26, 2019
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Answers (1)
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Expand (1 – 2x)6 in ascending powers of x up to the term in x3
(Solved)
Expand (1 – 2x)6 in ascending powers of x up to the term in x3
Date posted:
August 26, 2019
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Answers (1)
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In the diagram below, BT is a tangent to the circle at B. AXCT and BXD are straight lines. AX = 6cm, CT = 8cm,...
(Solved)
In the diagram below, BT is a tangent to the circle at B. AXCT and BXD are straight lines. AX = 6cm, CT = 8cm, BX = 4.8cm and XD = 5cm.

Find the length of BT.
Date posted:
August 26, 2019
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Answers (1)
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Make b the subject of the formula a =
(Solved)
Make b the subject of the formula a = 
Date posted:
August 26, 2019
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Answers (1)
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A car is driven a distance of 30 km measured to the nearest Km in 20 min measured to the nearest min. Between what limit...
(Solved)
A car is driven a distance of 30 km measured to the nearest Km in 20 min measured to the nearest min. Between what limit will the average speed be?
Date posted:
August 26, 2019
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Answers (1)
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The first and the last terms of an AP are 2 and 59 respectively. If the sum of the series is 610, find the number...
(Solved)
The first and the last terms of an AP are 2 and 59 respectively. If the sum of the series is 610, find the number of terms in the series and the common difference.
Date posted:
August 26, 2019
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Answers (1)
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A line L1 passes through point (1, 2) and has a gradient of 5. Another line L2 is perpendicular to L1and meets it at a...
(Solved)
A line L1 passes through point (1, 2) and has a gradient of 5. Another line L2 is perpendicular to L1 and meets it at a point where x = 4. Find the equation for L2 in the form y = mx + c.
Date posted:
August 26, 2019
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Answers (1)
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The sides of a rectangle are x cm and (x + 1) cm. A circle has radius of (x + 2) cm.If the sum of...
(Solved)
The sides of a rectangle are x cm and (x + 1) cm. A circle has radius of (x + 2) cm.If the sum of the area of the rectangle and the circle is 184 cm2
Using
as
find the value of x.
Date posted:
August 26, 2019
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Answers (1)