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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)
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A lamp shade is in the form of an open – ended frustum of a cone. Its bottom and top diametersare 14cm and 7cm respectively....
(Solved)
A lamp shade is in the form of an open – ended frustum of a cone. Its bottom and top diameters are 14cm and 7cm respectively. Its height is 10cm.
(a) Find
(i) the height of the cone from which the frustum was cut.
(ii) the area of the curved surface of the lamp shade.(
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(b) The material used for making the lamp shade is sold at sh. 800 per square metre. Find the cost of ten lampshades if a lampshade is sold at twice the cost of the material.
Date posted:
August 26, 2019
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Answers (1)
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Mr. Kamau, a salesman is paid a commission of 6% on goods worth over sh. 600,000. In additionhe is paid a monthly salary of sh....
(Solved)
Mr. Kamau, a salesman is paid a commission of 6% on goods worth over sh. 600,000. In addition he is paid a monthly salary of sh. 35,000.
(a) Calculate his total earnings in a month when his total sales was sh. 750,000.
(b) In the following month, the rate of commission was changed to x% but his monthly salary remained the same. If Mr. Kamau received a total monthly earning of sh. 100,000 for selling goods worth the same amount, find the value of x.
(c) If the rate of commission in (b) above was reduced in the ration 3:4 and his monthly increased by 10%, find the percentage change in his total monthly earnings for selling the same amount of goods.
Date posted:
August 26, 2019
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Answers (1)
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The size of an interior angle of a regular polygon is 3 ½ times that of its exterior angle. Determine the sum of the interior angles...
(Solved)
The size of an interior angle of a regular polygon is 3 ½ times that of its exterior angle. Determine the sum of the interior angles of this polygon.
Date posted:
August 24, 2019
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Answers (1)
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A farmer has two water tanks, one of capacity 200 litres and the other 360 litres. The farmer uses the same container to fill each...
(Solved)
A farmer has two water tanks, one of capacity 200 litres and the other 360 litres. The farmer uses the same container to fill each of the two tanks in an exact number of times. Find the least possible number of times it would take to fill both tanks.
Date posted:
August 24, 2019
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Answers (1)
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A Kenyan company received US Dollars 150,000. The money was converted into Kenya shillings in a bank which buys and sells foreign currencies as follows:
(Solved)
A Kenyan company received US Dollars 150,000. The money was converted into Kenya shillings in a bank which buys and sells foreign currencies as follows:

a) Calculate the amount of money, in Kenya shillings, the company received
b) The company exchanged the Kenya shillings calculated in (a) above, into sterling pounds to buy a car from Britain. Calculate the cost of the car to the nearest sterling pound.
Date posted:
August 24, 2019
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Answers (1)
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In the figure below (not drawn to scale) AB = 8cm, AC = 6cm, AD = 7cm, CD = 2.82cm and angle CAB = 50º.
(Solved)
In the figure below (not drawn to scale) AB = 8cm, AC = 6cm, AD = 7cm, CD = 2.82cm and angle CAB = 50º.

Calculate to 2 decimal places;
a) The length BC
b) The size of angle ABC
c) The size of angle CAD
d)The area of triangle ACD
Date posted:
August 23, 2019
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Answers (1)
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A trader mixes grade A coffee costing sh 600 per kg, with grade B coffee costing sh. 280 per kg in the ratio 3 :...
(Solved)
A trader mixes grade A coffee costing sh 600 per kg, with grade B coffee costing sh. 280 per kg in the ratio 3 : 5.Find the price at which he must sell 1 kg of the mixture to make a profit of 20 %
Date posted:
August 23, 2019
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Answers (1)
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The position vectors for points A and B are 2i + 5j + 3k and 4i – 7j + 3k respectively. Express vectors AB in...
(Solved)
The position vectors for points A and B are 2i + 5j + 3k and 4i – 7j + 3k respectively. Express vectors AB in terms of unit vectors i, j and k. Hence find the length of AB leaving your answer in simplified surd form.
Date posted:
August 23, 2019
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Answers (1)
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A quantity P is partly constant and partly varies inversely as square of t. P = 6 when t = 6 and p = 18...
(Solved)
A quantity P is partly constant and partly varies inversely as square of t. P = 6 when t = 6 and p = 18 when t = 3. Find t when p = 11
Date posted:
August 23, 2019
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Answers (1)
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In calculating the volume of a cone a student had an error of 0.2 % in pi , 1.2 % in the height and 0.4...
(Solved)
In calculating the volume of a cone a student had an error of 0.2 % in pi , 1.2 % in the height and 0.4 % in the radius, calculate the percentage error involved in calculating the volume.
Date posted:
August 23, 2019
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Answers (1)
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In the figure below, O is the centre of the circle. Chord AB and CD intersect at X. CX = 8 cm, XD = 5...
(Solved)
In the figure below, O is the centre of the circle. Chord AB and CD intersect at X. CX = 8 cm, XD = 5 cm and XB = 4cm

Calculate the length of AX, hence find the radius of the circle.
Date posted:
August 23, 2019
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Answers (1)
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Given that sin (x + 30) = Cos 3x, find the value of tan (x-45) correct to 4 significant figures.
(Solved)
Given that sin (x + 30) = Cos 3x, find the value of tan (x-45) correct to 4 significant figures.
Date posted:
August 23, 2019
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Answers (1)