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Use reciprocal, squares and square root tables only to evaluate the expression.
(Solved)
Use reciprocal, squares and square root tables only to evaluate the expression.
Date posted:
August 26, 2019
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Answers (1)
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Using logarithm tables only, evaluate
(Solved)
Using logarithm tables only, evaluate
Date posted:
August 26, 2019
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Answers (1)
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Using a ruler a pair of compass only;(a) Draw line AB 6cm long. On one side of line AB, construct the locus of point P...
(Solved)
Using a ruler a pair of compass only;
(a) Draw line AB 6cm long. On one side of line AB, construct the locus of point P such that angle APB = 45°
(b) Locate two points P1 and P2 on the locus of point P such that angle AP1B = angle AP2B = 45° and the area of triangle AP1B = AP2B = 12cm2.
c) Locate point Q on the locus of P such that the area of triangle AQB is maximum, hence find the maximum area.
Date posted:
August 26, 2019
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Answers (1)
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A company receives 470kg of tea leaves in a day. This is packed in 100g, 250g and 500g packets such that the number of 100g...
(Solved)
A company receives 470kg of tea leaves in a day. This is packed in 100g, 250g and 500g packets such that the number of 100g packets is twice the number of 250g packets and three times the number of 500g packets.
How many packets of each type are packed in a day.
Date posted:
August 26, 2019
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Answers (1)
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Under an enlargement scale factor -2, the image of A( 2 ,4) is A’(-1 ,-2). Under the same enlargement, the image of D( x ,y)...
(Solved)
Under an enlargement scale factor -2, the image of A( 2 ,4) is A’(-1 ,-2). Under the same enlargement, the image of D( x ,y) is D’(3, -2). Find the coordinates of the object D.
Date posted:
August 26, 2019
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Answers (1)
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An aeroplane leaves town A (83°N, 155°W) to town B (40°N, 25°E) using the shortest route at a speed of 450 knots. (Take p =...
(Solved)
An aeroplane leaves town A (83°N, 155°W) to town B (40°N, 25°E) using the shortest route at a speed of 450 knots. (Take π = 3.142 and radius of the earth R = 6370km).
(a) (i) Calculate the distance between A and B in nautical miles.
(ii) Calculate the time taken to travel from town A to B
(b) From B, the plane flies westwards along the latitude to town C (40°N, 13°W). Calculate the distance BC in kilometers.
(c) From town C, the plane took off at 3:10 pm towards town D (10°N, 13°W), at the same speed. At what time did the plane land at D?
Date posted:
August 26, 2019
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Answers (1)
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Simplify without using tables or calculator.
(Solved)
Simplify without using tables or calculator.
Date posted:
August 26, 2019
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Answers (1)
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A two digit number is such that its value equals four times the sum of its digits. If 27 is added to the number the...
(Solved)
A two digit number is such that its value equals four times the sum of its digits. If 27 is added to the number the result is equal to the value of the number obtained when the digits are interchanged. What is the number?
Date posted:
August 26, 2019
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Answers (1)
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Form the three inequalities that satisfy the given region R. Given lines A, B and C.
(Solved)
Form the three inequalities that satisfy the given region R. Given lines A, B and C.
Date posted:
August 26, 2019
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Answers (1)
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Points P, Q and R are on the same horizontal ground such that point P is due south of R and point Q is due...
(Solved)
Points P, Q and R are on the same horizontal ground such that point P is due south of R and point Q is due west of point R. S is a point at the top of a tower, 20m vertically above R. The angles of elevation of S from P and Q are 27° and 35° respectfully. Calculate to the nearest degree, the bearing of Q from P.
Date posted:
August 26, 2019
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Answers (1)
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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)