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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)
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Grade A tea costs Ksh 100 per kg while grade B costs ksh 150 per kg. Find the ratio in which the two grades should...
(Solved)
Grade A tea costs Ksh 100 per kg while grade B costs ksh 150 per kg. Find the ratio in which the two grades should be mixed to get a mixture worth ksh.140 per kg.
Date posted:
August 28, 2019
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Answers (1)
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A quantity P is partly constant and partly varies as the cube of Q. When Q=1, P=23 and when Q =2, P= 44. Find the...
(Solved)
A quantity P is partly constant and partly varies as the cube of Q. When Q=1, P=23 and when Q =2, P= 44. Find the value of P when Q = 5.
Date posted:
August 28, 2019
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Answers (1)
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Find the sum to 20 terms of the series
Log2 + Log 4 + Log 8 + Log 16 + …….Give your answer to 3 significant...
(Solved)
Find the sum to 20 terms of the series
Log2 + Log 4 + Log 8 + Log 16 + …….Give your answer to 3 significant figures.
Date posted:
August 28, 2019
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Answers (1)
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A circle of radius 15cm is divided into ten equal sectors. In each sector, find:
a. The area of the triangle
b. The area of the...
(Solved)
A circle of radius 15cm is divided into ten equal sectors. In each sector, find:
a. The area of the triangle
b. The area of the segment
Date posted:
August 28, 2019
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Answers (1)
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If the length of a rectangle is increased in the ratio 7:3 and the width decreased in the 2:5, find whether the area is increased,...
(Solved)
If the length of a rectangle is increased in the ratio 7:3 and the width decreased in the 2:5, find whether the area is increased, and what ratio.
Date posted:
August 28, 2019
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Answers (1)
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By rationalizing the denominator, evaluate the following surds
(Solved)
By rationalizing the denominator, evaluate the following surds

Date posted:
August 28, 2019
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Answers (1)
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Mr. Bett wants to buy a flat screen TV set on hire purchase. The cash price is sh. 28,000. He can pay the cash Price...
(Solved)
Mr. Bett wants to buy a flat screen TV set on hire purchase. The cash price is sh. 28,000. He can pay the cash Price or make a down payment of sh. 8,000 and 15 monthly installments of sh. 2000 each. Calculate the rate of interest charged per month.
Date posted:
August 28, 2019
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Answers (1)
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Find all the integral values of x which satisfy the inequalities 3(3 – x) < 5x – 9 < 2x + 8
(Solved)
Find all the integral values of x which satisfy the inequalities 3(3 – x) < 5x – 9 < 2x + 8
Date posted:
August 28, 2019
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Answers (1)
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The velocity of a particle, Vm/s, moving in a straight line after t seconds is given by
V = 3t² - 3t – 6
Find:-
(i) The acceleration...
(Solved)
The velocity of a particle, Vm/s, moving in a straight line after t seconds is given by
V = 3t² - 3t – 6
Find:-
(i) The acceleration of the particle after 2 seconds.
(ii) The distance covered by the particle between t = 1 and t = 4 seconds.
(iii) The time when the particle is momentarily at rest.
(iv) The minimum velocity attained by the particle.
Date posted:
August 28, 2019
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Answers (1)
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In the figure below, C is a point on AB such that BA = 4BC and D is the mid point of OA OC and...
(Solved)
In the figure below, C is a point on AB such that BA = 4BC and D is the mid point of OA OC and BD intersect at x

a) Write the vectors below in terms of a and b
i) AB
ii) OC
iii) BD
b) If BX = hBD express ox in terms of a, b and h
c) If OX = kOC, find h and k
d) Hence express OX in terms of a and b only
Date posted:
August 28, 2019
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Answers (1)
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The fig shows two intersecting circles with centres A and B and radii 7cm and 10.5cm respectively. The distance between AB = 14 and AM:MB...
(Solved)
The fig shows two intersecting circles with centres A and B and radii 7cm and 10.5cm respectively. The distance between AB = 14 and AM:MB = 3:4.

Calculate to four significant fig the;
a) Size of angle CAD
b) Size of angle CBD
c) Area of shaded region (use pi= 3.142)
Date posted:
August 28, 2019
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Answers (1)