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Find the range of values of x which satisfy the following inequalities simultaneously
(Solved)
Find the range of values of x which satisfy the following inequalities simultaneously and represent them on a number line.
Date posted:
August 28, 2019
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Answers (1)
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The length and width of a rectangle are stated as 18.5cm and 12.4cm respectively.
(Solved)
The length and width of a rectangle are stated as 18.5cm and 12.4cm respectively. Both measurements are given to the nearest 0.1cm.
Calculate the percentage error in the area.
Date posted:
August 28, 2019
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Answers (1)
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Find the smallest number which leaves a reminder of 4 when divided by either 8 or 12 or 14.
(Solved)
Find the smallest number which leaves a reminder of 4 when divided by either 8 or 12 or 14.
Date posted:
August 28, 2019
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Answers (1)
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In the figure below O is the centre of the circle. Given that PR = QR and angle PQR = 69º.Find angle RQO.
(Solved)
In the figure below O is the centre of the circle. Given that PR = QR and angle PQR = 69º. Find angle RQO.
Date posted:
August 28, 2019
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Answers (1)
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Three taps A, B and C can fill a water tank in 30 minutes, 25 minutes and 15 minutes respectively.
(Solved)
Three taps A, B and C can fill a water tank in 30 minutes, 25 minutes and 15 minutes respectively. If the three taps are turned on for 5 minutes then A and C are closed. How long would it take before the tank is filled.
Date posted:
August 28, 2019
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Answers (1)
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A Kenyan company received US Dollars 100,000. The money were converted into Kenya shillings in a bank which buys and sells foreign currencies as follows.
(Solved)
A Kenyan company received US Dollars 100,000. The money were 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 pond.
Date posted:
August 28, 2019
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Answers (1)
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Juma, Ali and Hassan share the profit of their business in the ratios 3 : 7 : 9 respectively. If Juma receives sh60,000. How much...
(Solved)
Juma, Ali and Hassan share the profit of their business in the ratios 3 : 7 : 9 respectively. If Juma receives sh60,000. How much profit did the business yield
Date posted:
August 28, 2019
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Answers (1)
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John spent two thirds of his salary on food, a third of the remainder on rent and saved the rest.What fraction of his salary did...
(Solved)
John spent 
of his salary on food, a 
of the remainder on rent and saved the rest.
What fraction of his salary did he save? If he spent Sh.1200 on food, how much did he spend on rent.
Date posted:
August 28, 2019
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Answers (1)
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Three consecutive odd numbers add up to 369.
(Solved)
Three consecutive odd numbers add up to 369. Determine the three numbers.
Date posted:
August 28, 2019
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Answers (1)
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A bucket in the shape of a frustum as shown in the diagram. It has diameters of 36cm and 24cm. Calculate the volume of the...
(Solved)
A bucket in the shape of a frustum as shown in the diagram. It has diameters of 36cm and 24cm. Calculate the volume of the bucket.
Date posted:
August 27, 2019
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Answers (1)
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The figure below shows a circle with segments cut off by a triangle whose longest side AB is the largest possible chord of a circle....
(Solved)
The figure below shows a circle with segments cut off by a triangle whose longest side AB is the largest possible chord of a circle. Determine the area shaded given that AB = 14cm and AC = BC.
Date posted:
August 27, 2019
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Answers (1)
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Construct a circle centre K and radius 2.5cm. Construct a tangent from a point Q which is 6cm from K to touch the circle at...
(Solved)
Construct a circle centre K and radius 2.5cm. Construct a tangent from a point Q which is 6cm from K to touch the circle at M. Measure the length QM.
Date posted:
August 27, 2019
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Answers (1)
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Use the inverse matrix method rule to solve simultaneous equations.
(Solved)
Use the inverse matrix method rule to solve simultaneous equations.
Date posted:
August 27, 2019
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Answers (1)
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Chord AB is of length 8cm and the maximum distance between chord and lower part of circle is 2cm. Determine the radius of the circle.
(Solved)
Chord AB is of length 8cm and the maximum distance between chord and lower part of circle is 2cm. Determine the radius of the circle.
Date posted:
August 27, 2019
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Answers (1)
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(a) A radio station tower was built in two sections. From a point 870m from the base of the tower, the angle of elevation of...
(Solved)
(a) A radio station tower was built in two sections. From a point 870m from the base of the tower, the angle of elevation of the top of the first section is 250 and the angle of elevation of the top of the second section is 400. What is the height of the top section of the tower?
(b)Two vertical poles on horizontal ground are 60m apart. The shorter pole is 3m high. The angle of depression of the top of the shorter pole from the top of the longer pole is 200. Using scale drawing, find the length of the longer pole.
Date posted:
August 27, 2019
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Answers (1)
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Kinyua bought soya and millet at sh.65 per kg and sh.40 per kg respectively. He then mixed them and sold the mixture at sh.60 per...
(Solved)
Kinyua bought soya and millet at sh.65 per kg and sh.40 per kg respectively. He then mixed them and sold the mixture at sh.60 per kg making a profit of 20%. Determine the ratio of soya to millet in mixture.
Date posted:
August 27, 2019
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Answers (1)
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It would take 18 men 12 days to dig a piece of land. If they work for 8 hours a day, how long will it...
(Solved)
It would take 18 men 12 days to dig a piece of land. If they work for 8 hours a day, how long will it take 24 men if they work 12 hours to cultivate three quarters of the same land.
Date posted:
August 27, 2019
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Answers (1)
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The figure below shows solid frustum of a pyramid with a square top of side 12cm and a square base of side 20cm. The slant...
(Solved)
The figure below shows solid frustum of a pyramid with a square top of side 12cm and a square base of side 20cm. The slant edge of the frustum is 16cm.
a) Calculate the total surface area of the frustum
b) Calculate the volume of the solid frustum.
c) Calculate the angle between the planes BCHG and the base EFGH.
Date posted:
August 27, 2019
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Answers (1)
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A man spent a ninth of his salary on food and quarter of the remainder on electricity and water bills. He paid fees with 20%...
(Solved)
A man spent a 
of his salary on food and 
of the remainder on electricity and water bills. He paid fees with 20% of his salary and invested 16% of what was left into a business. After taking a game drive on which he spent Ksh 2000, he saved Ksh 5350.
Calculate:
(a) His total monthly earnings.
(b) How much he spent on fees.
(c) How much he invested.
(d) The percentage of the salary saved.
Date posted:
August 27, 2019
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Answers (1)
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Three consecutive terms in a G.P are 32x+1 , 9x and 81 respectively.
a. Calculate the value of x
b. Find the common ratio of the...
(Solved)
Three consecutive terms in a G.P are 32x+1 , 9x and 81 respectively.
a. Calculate the value of x
b. Find the common ratio of the series.
c. Calculate the sum of the first 10 terms of the series.
d. Given that the 5th and 7th terms of the G.P in (a) above form the 1st two consecutive terms of an A.P Calculate the sum of the 1st 20 terms of the A.P.
Date posted:
August 27, 2019
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Answers (1)