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The coordinates of the points P and Q are (1, -2) and (4, 10) respectively. A point T divides the line PQ in the ratio...
(Solved)
The coordinates of the points P and Q are (1, -2) and (4, 10) respectively. A point T divides the line PQ in the ratio 2:1
a) Determine the coordinates of T
b) Find the equation of the line perpendicular to PQ and passing through T.
Date posted:
August 15, 2019
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Answers (1)
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A sales man earns a basic wage of Ksh 1,500 per week. In addition , he is paid commission per week as follows:
...
(Solved)
A sales man earns a basic wage of Ksh 1,500 per week. In addition , he is paid commission per week as follows:
Commission
For sales up to Ksh 50,000 0%
For sales above Ksh 50,000
i) For the first Ksh 25,000 2%
ii) For the next Ksh 25,000 2 ½ %
iii) For any amount above Ksh100,000 5%
During that week, he sold goods worth Ksh 115,000.What was his total pay for that week?
Date posted:
August 15, 2019
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Answers (1)
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A cylinder of radius 14cm contains water. A metal solid hemisphere of radius 6.8cm is submerged into the water in the cylinder. Find the change...
(Solved)
A cylinder of radius 14cm contains water. A metal solid hemisphere of radius 6.8cm is submerged into the water in the cylinder. Find the change in height of the water in the cylinder.
Date posted:
August 15, 2019
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Answers (1)
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Simiyu and Nasike each collected a number of stones in an arithmetic lesson. If Simiyu gave Nasike 5 stones, Nasike would have twice as many...
(Solved)
Simiyu and Nasike each collected a number of stones in an arithmetic lesson. If Simiyu gave Nasike 5 stones, Nasike would have twice as many stones as Simiyu. If initially Simiyu had five stones less than Nasike, how many stones did each have?
Date posted:
August 15, 2019
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Answers (1)
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Evaluate without using calculator or mathematical tables leaving your answer as a simplified fraction.
(Solved)
Evaluate without using calculator or mathematical tables leaving your answer as a simplified fraction.

Date posted:
August 15, 2019
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Answers (1)
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Three business partners Omoit, Achola and Amoit contributed Ksh. 100,000, Ksh.80,000 and ksh.50,000 respectively to start a business. After one year the business realized a...
(Solved)
Three business partners Omoit, Achola and Amoit contributed Ksh. 100,000, Ksh.80,000 and ksh.50,000 respectively to start a business. After one year the business realized a profit which they shared in the ratio of their contributions.
(a) If Amoit’s share of profit was Kshs.20, 000, how much was the total amount of profit?
(b) At the beginning of the second year, Amoit boosted his shares by Ksh. 10,000. If the business profit increased by 20% at the end of the second year. Calculate;
(i) Omoit’s share of the profit.
(ii) The difference between Omoit’s and Achola’s share of the profit.
Date posted:
August 15, 2019
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Answers (1)
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1600cm3 of fresh water of density 1g/cm3 are mixed with 1400cm3 of sea water of density 1.25g/cm3. Determine the density of the mixture.
(Solved)
1600cm3 of fresh water of density 1g/cm3 are mixed with 1400cm3 of sea water of density 1.25g/cm3. Determine the density of the mixture.
Date posted:
August 15, 2019
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Answers (1)
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The G.C.D of two numbers is 36 and their L.C.M. is 1260. If one of the numbers is 252,find the other number.
(Solved)
The G.C.D of two numbers is 36 and their L.C.M. is 1260. If one of the numbers is 252,find the other number.
Date posted:
August 15, 2019
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Answers (1)
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Solve the inequalities and represnt the solution on number line. 3x – 9 < 5x + 3= 2x – 6
(Solved)
Solve the inequalities and represnt the solution on number line. 3x – 9 < 5x + 3≤ 2x – 6
Date posted:
August 15, 2019
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Answers (1)
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Okisai is three times as old as his son now. If ten years ago the sun of their ages was 44. How Old was Okisai...
(Solved)
Okisai is three times as old as his son now. If ten years ago the sun of their ages was 44. How Old was Okisai when his son was born ?
Date posted:
August 15, 2019
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Answers (1)
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Atyang bought 3 blouses and 2 skirts for a total of Ksh.500. Awino bought 4 blouses and 5 skirts for a total of Ksh.900. Find...
(Solved)
Atyang bought 3 blouses and 2 skirts for a total of Ksh.500. Awino bought 4 blouses and 5 skirts for a total of Ksh.900. Find the cost of 1 blouse and 3 skirts.
Date posted:
August 15, 2019
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Answers (1)
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Nairobi and Eldoret are each 250km from Nakuru. At 8.15a.m, a lorry leaves Nakuru for Nairobi.
At 9.30am, a car leaves Eldoret for Nairobi via Nakuru...
(Solved)
Nairobi and Eldoret are each 250km from Nakuru. At 8.15a.m, a lorry leaves Nakuru for Nairobi.
At 9.30am, a car leaves Eldoret for Nairobi via Nakuru at a speed of 100km/h. Both vehicles arrived
Nairobi at the same time.
(a) Calculate their time of arrival in Nairobi.
(b) Find the cars speed relative to that of the lorry.
(c) How far apart are the vehicles at 12.45pm.
Date posted:
August 15, 2019
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Answers (1)
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If the expression 25y² - 70y + (16 + K) is a perfect square; where K is a constant;find the value of K.
(Solved)
If the expression 25y² - 70y + (16 + K) is a perfect square; where K is a constant;find the value of K.
Date posted:
August 15, 2019
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Answers (1)
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Use the quadratic formula to solve the equation 2x² - 9x + 3 = 0 giving your answer to 4 significant figures.
(Solved)
Use the quadratic formula to solve the equation 2x² - 9x + 3 = 0 giving your answer to 4 significant figures.
Date posted:
August 15, 2019
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Answers (1)
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The diagram below represents a model of a pillar. The radii of the top and the base are 7cm and 3.5cm respectively. The height of...
(Solved)
The diagram below represents a model of a pillar. The radii of the top and the base are 7cm and 3.5cm respectively. The height of the cylindrical part is 10cm while the height of the whole pillar is 15cm.

(a) Calculate the volume of the model in cm³.
(b) Calculate the mass of the material used to construct the pillar given that the actual height of the
whole pillar is 60m and the density of the material used is 0.832g/cm³. (Give your answer in tones).
Date posted:
August 15, 2019
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Answers (1)
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The capacity of two similar rectangular tanks are 1,000,000 litres and 512,000 litres respectively.
(a) Determine the length of the larger tank if the smaller one...
(Solved)
The capacity of two similar rectangular tanks are 1,000,000 litres and 512,000 litres respectively.
(a) Determine the length of the larger tank if the smaller one is 240cm long.
(b) Calculate the surface area of the smaller tank if the larger tank’s surface area is 1875m².
(c) Estimate the mass of the smaller tank if the mass of the larger one is 800kg.
Date posted:
August 15, 2019
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Answers (1)
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The figure below shows a triangle ABC which is right-angled at C. CB = 8cm and AC = 6cm. Find the length of CD given...
(Solved)
The figure below shows a triangle ABC which is right-angled at C. CB = 8cm and AC = 6cm. Find the length of CD given that CD is perpendicular to AB.

Date posted:
August 15, 2019
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Answers (1)
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A plane leaves town P to town Q on a bearing of 130º and a distance of 350km. it then flies 500km on a bearing...
(Solved)
A plane leaves town P to town Q on a bearing of 130º and a distance of 350km. it then flies 500km on a bearing of 060º to town R. Find, by scale drawing the distance between town R andtown P.
Date posted:
August 15, 2019
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Answers (1)
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Using ruler and pair of compass only, construct triangle ABC in which AB = 6cm, BC = 8cm and angle ABC = 45º. Drop a...
(Solved)
Using ruler and pair of compass only, construct triangle ABC in which AB = 6cm, BC = 8cm and angle ABC = 45º. Drop a perpendicular from A to meet BC at M. Measure AM and AC.
Date posted:
August 15, 2019
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Answers (1)
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In the figure below angleMNO = 54º and angle PLM = 50º, PN = NM and PO is parallel to LM.Find the value of angle...
(Solved)
In the figure below angleMNO = 54º and angle PLM = 50º, PN = NM and PO is parallel to LM.Find the value of angle LPM.

Date posted:
August 15, 2019
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Answers (1)