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Write down the three inequalities which define the region R.
(Solved)
Write down the three inequalities which define the region R.

Date posted:
May 9, 2019
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Answers (1)
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The figure below represents a swimming pool. Calculate the volume of the swimming pool in litres.
(Solved)
The figure below represents a swimming pool. Calculate the volume of the swimming pool in litres.

Date posted:
May 9, 2019
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Answers (1)
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The first, the 7th and the 25th terms of an arithmetic progression are the first three consecutive terms of a geometrical progression. The 20th term...
(Solved)
The first, the 7th and the 25th terms of an arithmetic progression are the first three consecutive terms of a geometrical progression. The 20th term of the arithmetic progression is 22. Find:
a) i) The first term and common difference of the arithmetic progression.
ii) The sum of the first 40 terms of the arithmetic progression.
b) i) The 10th term of the geometric progression.
ii) The sum of the first 10 terms of the geometric progression.
Date posted:
May 9, 2019
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Answers (1)
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Find the percentage error in calculating the volume of the cuboid whose dimensions are 8.2cm by 6.2cm by 5.7cm
(Solved)
Find the percentage error in calculating the volume of the cuboid whose dimensions are 8.2cm by 6.2cm by 5.7cm
Date posted:
May 9, 2019
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Answers (1)
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OA = 2i + 3j + 4k while OB = 5i + 9j - 2k. P divides AP externally in the ratio 2 : 1....
(Solved)
OA = 2i + 3j + 4k while OB = 5i + 9j - 2k. P divides AP externally in the ratio 2 : 1. Find he coordinates of P.
Date posted:
May 9, 2019
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Answers (1)
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Find the value of k if 4x² + 25x + 5 + k is a perfect square.
(Solved)
Find the value of k if 4x² + 25x + 5 + k is a perfect square.
Date posted:
May 9, 2019
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Answers (1)
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Using mid-ordinate rule of 5 strips, determine the area under the curve y = 3x² + 10, the lines x = 1, x=6 and x-axis.
(Solved)
Using mid-ordinate rule of 5 strips, determine the area under the curve y = 3x² + 10, the lines x = 1, x=6 and x-axis.
Date posted:
May 9, 2019
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Answers (1)
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A bus left Nairobi at 7.00 am and travelled towards Eldoret at an average speed of 80km/hr. At 7.45am a car left
Eldoret towards Nairobi at...
(Solved)
A bus left Nairobi at 7.00 am and travelled towards Eldoret at an average speed of 80km/hr. At 7.45am a car left
Eldoret towards Nairobi at an average speed of 120km/hr. The distance between Nairobi and Eldoret is 300km.
Calculate
a) the time the bus arrived at Eldoret.
b) the time of the day the two met
c) the distance from Nairobi where the two met.
d) the distance of the bus from Eldoret when the car arrived at Nairobi.
Date posted:
May 9, 2019
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Answers (1)
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A boat at point X is 200m to the south of point Y. The boat sails from X to another point Z. Point Z is...
(Solved)
A boat at point X is 200m to the south of point Y. The boat sails from X to another point Z. Point Z is 200m on a
bearing of 310° from X. Point X, Y and Z are on the same horizontal plane.
a) Calculate the bearing and distance of Z from Y.
b) W is the point on the path of the boat nearest to point Y. Calculate the distance WY.
c) A vertical tower stands at point Y. The angle of depression of point x from the top of the tower is 6°. Calculate the
angle of elevation of the top of the tower from point W.
Date posted:
May 8, 2019
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Answers (1)
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The table below shows the distribution of marks scored by 100 candidates in an examination.
(Solved)
The table below shows the distribution of marks scored by 100 candidates in an examination.

a) Find k.
b) Using an assumed mean of 44.5 calculate.
i) The mean
ii) The standard deviation.
c) Calculate the median
Date posted:
May 8, 2019
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Answers (1)
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A flower garden is in the form of the trapezium shown below. Find the area of the garden in m²
(Solved)
A flower garden is in the form of the trapezium shown below. Find the area of the garden in m²

Date posted:
May 8, 2019
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Answers (1)
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Half of the interior angles of an irregular hexagon are in the ratio 2 : 3 : 4, while the other half are in the...
(Solved)
Half of the interior angles of an irregular hexagon are in the ratio 2 : 3 : 4, while the other half are in the ratio 4 : 3 : 5 .
List the interior angles of the hexagon.
Date posted:
May 8, 2019
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Answers (1)
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When a certain number is divided by 30, 45 or 54, there is always a remainder of 21. Find the least number
(Solved)
When a certain number is divided by 30, 45 or 54, there is always a remainder of 21. Find the least number
Date posted:
May 8, 2019
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Answers (1)
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A particle moving with acceleration a = (10 –t) m/s2. When t = 1 velocity V = 2 m/s and when t = 0 displacement...
(Solved)
A particle moving with acceleration a = (10 –t) m/s2. When t = 1 velocity V = 2 m/s and when t = 0 displacement S =
OM.
(a) Express displacement and velocity in terms of t.
(b) Calculate the velocity when t = 35
(c) What is the displacement when t = 5
(d) Calculate maximum velocity.
Date posted:
May 8, 2019
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Answers (1)
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Find the coordinates of the image of a point (5, -3) when its rotated through 1800 about (3,1).
(Solved)
Find the coordinates of the image of a point (5, -3) when its rotated through 1800 about (3,1).
Date posted:
May 8, 2019
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Answers (1)
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A bus and a matatu left Voi from Mombasa, 240 km away at 8.00 am. They travelled at 90 km/h and 120 km/h
respectively. After 20...
(Solved)
A bus and a matatu left Voi from Mombasa, 240 km away at 8.00 am. They travelled at 90 km/h and 120 km/h
respectively. After 20 minutes the matatu had a puncture which took 30 minutes to mend. It then continued with the
journey.
(a) How far from Voi did the catch up with the bus.
(b) At what time did the matatu catch up with the bus?
(c) At what time did the bud reach Mombasa?
Date posted:
May 8, 2019
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Answers (1)
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A car whose initial value is Ksh 600,000 depreciates at a rate of 12% p.a. Determine:
(Solved)
A car whose initial value is Ksh 600,000 depreciates at a rate of 12% p.a. Determine:
(a) Its value after 5 years.
(b) Its value of depreciation after 5 years.
(c) The number of year it will take for the value of the car to be Ksh 300,000
Date posted:
May 8, 2019
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Answers (1)
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Two men each working for 8 hours a day can cultivate an acre of land in 4 days. How long would 6 men, each working
4...
(Solved)
Two men each working for 8 hours a day can cultivate an acre of land in 4 days. How long would 6 men, each working
4 hours a day take to cultivate 4 acres?
Date posted:
May 8, 2019
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Answers (1)
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Mr. Onyango’s piece of land is in a form of triangle whose dimensions are 1200M, 1800M and 1500M respectively.
Find the area of this land in...
(Solved)
Mr. Onyango’s piece of land is in a form of triangle whose dimensions are 1200M, 1800M and 1500M respectively.
Find the area of this land in ha. (Give your answer to the nearest whole number).
Date posted:
May 8, 2019
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Answers (1)
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Find the area of a segment of a circle whose arc subtends an angle of 22.50 on the circumference of a circle, radius
10cm.
(Solved)
Find the area of a segment of a circle whose arc subtends an angle of 22.50 on the circumference of a circle, radius
10cm.
Date posted:
May 8, 2019
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Answers (1)