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The table below shows the rates at which income tax is charged on annual income.
(Solved)
The table below shows the rates at which income tax is charged on annual income.
A company employee earns a gross monthly salary of Ksh.18600. He is housed by the company and as a result, his
taxable income is increased by 15%. If the employee is married and claims a monthly family relief of Shs.250,
calculate
(a) his taxable income.
(b) his net salary per month.
Date posted:
April 29, 2019
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Answers (1)
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The 16th term of an A.P. is seven times the 8th term. The sum of the first ten terms is -35. Find the first term...
(Solved)
The 16th term of an A.P. is seven times the 8th term. The sum of the first ten terms is -35. Find the first term and the common difference.
Date posted:
April 29, 2019
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Answers (1)
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Pipe A can fill an empty water tank in 3hrs while Pipe B can fill the same tank in 6hrs. When the tank is full...
(Solved)
Pipe A can fill an empty water tank in 3hrs while Pipe B can fill the same tank in 6hrs. When the tank is full it can be
emptied by Pipe C in 8hrs. Pipe A and B are opened at the same time when the tank is empty. If one hour later Pipe C
is also opened, find the total time taken to fill the tank.
Date posted:
April 29, 2019
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Answers (1)
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Two variables are such that A is partly constant and partly varies as the square root of B. Given that A = 27 when B=1/4...
(Solved)
Two variables are such that A is partly constant and partly varies as the square root of B. Given that A = 27 when B=1/4 and A = 18; when B = 25, find A when B =12.25.
Date posted:
April 29, 2019
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Answers (1)
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If 4x² + 32x - 20 + K is a perfect square find value of K.
(Solved)
If 4x² + 32x - 20 + K is a perfect square find value of K.
Date posted:
April 29, 2019
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Answers (1)
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John deposits Shs.24000 in a fixed account. After 4 years the money accumulated to Kshs.45,000. If the bank paid
compound interest of r% p.a compounded semi...
(Solved)
John deposits Shs.24000 in a fixed account. After 4 years the money accumulated to Kshs.45,000. If the bank paid
compound interest of r% p.a compounded semi annually find r.
Date posted:
April 29, 2019
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Answers (1)
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A shopkeeper mixes rice worth Kshs.47 and Kshs.55 per kg, how many kilograms of each should be used to obtain 24kg of the mixture worth...
(Solved)
A shopkeeper mixes rice worth Kshs.47 and Kshs.55 per kg, how many kilograms of each should be used to obtain 24kg of the mixture worth Kshs.52 per kg.
Date posted:
April 29, 2019
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Answers (1)
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A train moving at an average speed of 72km/hr takes 15 seconds to complete cross a bridge that is 80m long.
(i) Express 72km/hr in metres...
(Solved)
A train moving at an average speed of 72km/hr takes 15 seconds to complete cross a bridge that is 80m long.
(i) Express 72km/hr in metres per second.
(ii) Find the length of the train.
Date posted:
April 29, 2019
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Answers (1)
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The table below shows marks obtained by 100 candidates at Eastside High School in a Biology examination.
(Solved)
The table below shows marks obtained by 100 candidates at Eastside High School in a Biology examination.
(a) Determine the value of x.
(b) State the modal frequency.
(c) Calculate the median mark.
(d) Calculate the mean mark.
Date posted:
April 29, 2019
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Answers (1)
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A sector of a circle of radius 40cm subtends an angle of 26º at the centre of the circle.(Take pi =22/7).
(Solved)
A sector of a circle of radius 40cm subtends an angle of 26º at the centre of the circle.(Take pi =22/7).
(a) Calculate
(i) the area of the sector.
(ii) the length of the arc.
(b) The sector is folded to form an inverted right cone. Calculate
(i) the base radius of the cone.
(ii) To one decimal place, the vertical height of the cone.
(c) Calculate the capacity of the cone in litres.
Date posted:
April 29, 2019
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Answers (1)
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From town P, a town Q is 60km away on a bearing South 80º East. A third town R is 100km from P on the...
(Solved)
From town P, a town Q is 60km away on a bearing South 80º East. A third town R is 100km from P on the bearing South 40º West.
A cyclist travelling at 20km/h leaves P for Q. He stays at Q for one hour and then continues to R. He stays at R for 1½ hrs and thenreturns directly to P.
(a) Calculate the distance of Q from R.
(b) Calculate the bearing of R from Q.
(c) What is the time taken for the whole round trip?
Date posted:
April 29, 2019
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Answers (1)
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In the figure below OQ = q and OR = r. Point X divides OQ in the ratio 1:2 and Y divides OR in the...
(Solved)
In the figure below OQ = q and OR = r. Point X divides OQ in the ratio 1:2 and Y divides OR in the ratio 3:4. Lines XR and YQ
intersect at E.
(c) Using the results in (b) above, find the values of m and n.
Date posted:
April 29, 2019
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Answers (1)
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A salesman is paid a commission of 2% on goods worth over Ksh.100000. He is also paid a monthly salary of Ksh.12000. In a
certain month,...
(Solved)
A salesman is paid a commission of 2% on goods worth over Ksh.100000. He is also paid a monthly salary of Ksh.12000. In a
certain month, he sold 360 pairs of shoes at Ksh.500 each pair.
(a) Calculate the salesman’s earning that month.
(b) The following month, his monthly salary was increased by 10%. His total earnings that month were Ksh.17600. Calculate
(i) The total amount of money received from the sales of the shoes that month.
(ii) The number of pairs of shoes sold that month.
Date posted:
April 29, 2019
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Answers (1)
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Find the inequalities that define the region R shown in the figure below.
(Solved)
Find the inequalities that define the region R shown in the figure below.
Date posted:
April 26, 2019
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Answers (1)
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Two similar cylinders have diameter of 7cm and 21cm. If the larger cylinder has a volume of 6237cm³. Find the heights of the two
cylinders.
(Solved)
Two similar cylinders have diameter of 7cm and 21cm. If the larger cylinder has a volume of 6237cm³. Find the heights of the two
cylinders.
Date posted:
April 26, 2019
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Answers (1)
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Ruto is 2.5 times as old as his son. Five years ago, the ratio of their ages was 8:3. What will be their ages 6...
(Solved)
Ruto is 2.5 times as old as his son. Five years ago, the ratio of their ages was 8:3. What will be their ages 6 years from now?
Date posted:
April 26, 2019
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Answers (1)
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Thirty two men working at the rate of 9hrs a day can complete a piece of work in 7 days. How many more men working...
(Solved)
Thirty two men working at the rate of 9hrs a day can complete a piece of work in 7 days. How many more men working at the rate
of 8hrs a day would complete the same work in 6 days?
Date posted:
April 26, 2019
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Answers (1)
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A solid metal cuboid 1.5m long, 0.4m wide and 0.25m high is made of material of density 7.5g/cm³. Calculate its mass in kg.
(Solved)
A solid metal cuboid 1.5m long, 0.4m wide and 0.25m high is made of material of density 7.5g/cm³. Calculate its mass in kg.
Date posted:
April 26, 2019
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Answers (1)
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The interior angle of a regular polygon is 6.5 times the exterior angle. How many sides has the polygon.
(Solved)
The interior angle of a regular polygon is 6.5 times the exterior angle. How many sides has the polygon.
Date posted:
April 26, 2019
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Answers (1)
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Find the equation of a line passing through (2, 1) and perpendicular to the line which makes an angle of 45º with the X-axis.
(Solved)
Find the equation of a line passing through (2, 1) and perpendicular to the line which makes an angle of 45º with the X-axis.
Date posted:
April 26, 2019
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Answers (1)