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Given that the dimensions of a rectangle are 20.0cm and 25.0cm find the percentage error in calculating the area.
(Solved)
Given that the dimensions of a rectangle are 20.0cm and 25.0cm find the percentage error in calculating the area.
Date posted:
August 30, 2019
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Answers (1)
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The base and perpendicular height of a triangle measured to the nearest centimeter are 6cm and 4cm respectively.
(Solved)
The base and perpendicular height of a triangle measured to the nearest centimeter are 6cm and 4cm respectively. Find
(a) The absolute error in calculating the area of the triangle.
(b) The percentage error in the area giving the answer to 1 decimal place.
Date posted:
August 30, 2019
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Answers (1)
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In the figure below, O is the centre of the circle. The reflex angle POS =2540 and angle PRT = 520 Calculate
a) Angle QSR
b)...
(Solved)
In the figure below, O is the centre of the circle. The reflex angle POS =2540 and angle PRT = 520 Calculate

a) Angle QSR
b) Angle QPT
c) Angle QOT, reflex
d) Angle OST
Date posted:
August 30, 2019
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Answers (1)
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A map has a scale of 1 : 2500 and on it is square plot of land which has an area of 4cm². Calculate the...
(Solved)
A map has a scale of 1 : 2500 and on it is square plot of land which has an area of 4cm². Calculate the actual area in hectares of the land.
Date posted:
August 29, 2019
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Answers (1)
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Solve the equation below.
72x – 8 x 7x + 7 = 0
(Solved)
Solve the equation below.
72x – 8 x 7x + 7 = 0
Date posted:
August 29, 2019
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Answers (1)
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The velocity of a particle t seconds after passing a fixed point is given by v = 2t2 – 13t + k where k is...
(Solved)
The velocity of a particle t seconds after passing a fixed point is given by v = 2t2 – 13t + k where k is a constant. The particle has a maximum displacement of 13m from the fixed point when t = ½ seconds.
(a) Calculate the value of k
(b) Find the equation of the displacement of the particle i.e from the fixed point after t seconds
(c) Calculate the distance moved by the particle during the fourth second
Date posted:
August 29, 2019
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Answers (1)
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Mr. Karambu is a civil servant in a ministry. He earns a monthly salary of sh.N and allowance of sh.1271.all taxable. He is entitled to...
(Solved)
Mr. Karambu is a civil servant in a ministry. He earns a monthly salary of sh.N and allowance of sh.1271.all taxable. He is entitled to a monthly relief of sh.1056. The table below shows the rates of taxation.

When his salary was increased by 50% the net tax increased by 66.25 % to sh.9036 per month.
(a) What was his net tax in K£ p.a before the salary increase
(b) Calculate his salary before the increase
(c) Calculate the percentage increase in his net pay after the salary increase
Date posted:
August 29, 2019
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Answers (1)
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A school’s environmental club consists of 7 boys and 5 girls. Three members are to be randomly chosen to be officials of the club. Use...
(Solved)
A school’s environmental club consists of 7 boys and 5 girls. Three members are to be randomly chosen to be officials of the club. Use a tree diagram to find the probability that:
(a) All the officials are boys
(b) One official is a girl
Date posted:
August 29, 2019
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Answers (1)
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The diagram below represents a Cuboid ABCDEFGH in which FG =4.5cm, GH =8cm HC=6cm(a) Calculate the length FC(b) (i) The size of the angle between...
(Solved)
The diagram below represents a Cuboid ABCDEFGH in which FG =4.5cm, GH =8cm HC=6cm

(a) Calculate the length FC
(b) (i) The size of the angle between the lines FC and FH
(ii) Size of the angle between the line AB and FH.
(c) The size of the angle between the planes ABHE and the plane FGHE.
(d) The total surface area of the cuboid (closed)
Date posted:
August 29, 2019
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Answers (1)
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The figure below shows a direct –belt drive system consisting of two pulleys of radii 40cm and 25cm. The centres of the pulleys x and...
(Solved)
The figure below shows a direct –belt drive system consisting of two pulleys of radii 40cm and 25cm. The centres of the pulleys x and y are 86cm apart. Calculate the total length of the belt to4 s.f.

Date posted:
August 29, 2019
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Answers (1)
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The bearing of towns P and Q on a horizontal ground from a tower are 050o and 142o respectively.
(Solved)
The bearing of towns P and Q on a horizontal ground from a tower are 050o and 142o respectively. The angle of elevation of the top of the tower from town P is 34o. Given that P is 200m from the top of the tower and Q is 120m from the base of the tower. Determine,
a) The height of the tower.
b) The angle of elevation of the top of the tower from Q.
c) The distance between the two towns P and Q.
Date posted:
August 29, 2019
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Answers (1)
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Two planes P and Q are at (360N 1250W) and (360N 550E) respectively. Calculate the distance in nautical mile between P and Q measured along...
(Solved)
Two planes P and Q are at (360N 1250W) and (360N 550E) respectively. Calculate the distance in nautical mile between P and Q measured along the circle through the North Pole.
Date posted:
August 29, 2019
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Answers (1)
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Given that the position vector of A, B and C are 3i – 2j, -6i +4j and -9i – 3j respectively.
(Solved)
Given that the position vector of A, B and C are 3i – 2j, -6i +4j and -9i – 3j respectively.
a) State the column vectors,
i) AB
ii) CB
b) Find the distance from A to C through B
c) Find the co-ordinates of the midpoint of AC
d) If point C1 is the image of C under translation vector
, find the co-ordinates of C1.
Date posted:
August 29, 2019
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Answers (1)
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h varies directly as v and inversely as the square of r. Find the percentage change in h if v is increased by 20% and...
(Solved)
h varies directly as v and inversely as the square of r. Find the percentage change in h if v is increased by 20% and at the same time r is increased by 50%.
Date posted:
August 29, 2019
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Answers (1)
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In what ratio will coffee grade A costing kshs. 90 per kg be mixed with grade B costing kshs.60 per kg so that a profit...
(Solved)
In what ratio will coffee grade A costing kshs. 90 per kg be mixed with grade B costing kshs.60 per kg so that a profit of 25% is realized by selling the mixture at kshs.80 per kg.
Date posted:
August 29, 2019
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Answers (1)
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Use logarithm table to evaluate.
(Solved)
Use logarithm table to evaluate.

Date posted:
August 29, 2019
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Answers (1)
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A map is drawn to a scale of 1 : 50,000
(Solved)
A map is drawn to a scale of 1 : 50,000 find;
i) The distance in km between two places which are 25cm apart on the map.
ii) The area in cm2 of a field if the actual area of the field is 120,000m2
Date posted:
August 29, 2019
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Answers (1)
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The interior angles of a heptagon are (3p + 25)o,
(Solved)
The interior angles of a heptagon are (3p + 25)o, (2p – 20)o (2p + 35)o, 100o, 135o, 150o and 125o. Find P.
Date posted:
August 29, 2019
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Answers (1)
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Three business people, Mutua, Kamau and Mwiti contributed a total of ksh.164,500 to start a retail business.
(Solved)
Three business people, Mutua, Kamau and Mwiti contributed a total of ksh.164,500 to start a retail business. The ratio of contribution of Mutua to Kamau was 2 : 3, that of Kamau to Mwiti was 4 : 5. How much did Mutua contribute?
Date posted:
August 29, 2019
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Answers (1)
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Income tax is charged on annual income at the rates shown below.
A certain headmaster earns a monthly salary of Ksh. 8570. He is housed in...
(Solved)
Income tax is charged on annual income at the rates shown below.

A certain headmaster earns a monthly salary of Ksh. 8570. He is housed in the school and as a result, his taxable income is 15% more than his salary. He is entitled to a family tax relief of Kshs. 150 per month.
(a) How much tax does he pay in a year.
(b) From the headmaster’s salary the following deductions are also made every month;
W.C.P.S 2% of gross salary
N.H.I.F Kshs. 20
House rent, water and furniture charges Kshs. 246
Calculate the headmaster’s net salary.
Date posted:
August 28, 2019
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Answers (1)