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Given that Log3 = 0.4771 and log 5 = 0.6990, evaluate the following without using logarithm table or calculator.
(Solved)
Given that Log3 = 0.4771 and log 5 = 0.6990, evaluate the following without using logarithm table or calculator.
(a) Log 135
(b) Log 1125
Date posted:
May 6, 2019
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Answers (1)
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Mr. Wanyama has a plot that is in a triangular form. The plot measures 170m, 190m and 210m, but the altitudes of the plot as...
(Solved)
Mr. Wanyama has a plot that is in a triangular form. The plot measures 170m, 190m and 210m, but the altitudes of the plot as well as the angles are not know. Find the area of the plot in hectares.
Date posted:
May 6, 2019
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Answers (1)
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(a) Find the greatest common divisor of the term 9x3y2 and 4xy4.
(Solved)
(a) Find the greatest common divisor of the term 9x3y2 and 4xy4.
(b) Hence factorise completely the expression 9x3y2 – 4xy4.
Date posted:
May 6, 2019
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Answers (1)
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In a Chemistry experiment, a boy mixed some acid solution of 45% concentration with an acid solution of 25% concentration. In what proportion should the...
(Solved)
In a Chemistry experiment, a boy mixed some acid solution of 45% concentration with an acid solution of 25% concentration. In what proportion should the two acids be mixed in order to get 100cm3 of solution of 30% concentration?
Date posted:
May 6, 2019
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Answers (1)
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A farmer has a piece of land measuring 840m by 396m. He divides it into square plots of equal size. Find the maximum
area of one...
(Solved)
A farmer has a piece of land measuring 840m by 396m. He divides it into square plots of equal size. Find the maximum
area of one plot.
Date posted:
May 6, 2019
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Answers (1)
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The position of two towns P and Q are given to the nearest degrees as P(45oN, 110oW) and Q (45oN, 70oE) Take ??=3.142, Radius of...
(Solved)
The position of two towns P and Q are given to the nearest degrees as P(45oN, 110oW) and Q (45oN, 70oE) Take 𝜋=3.142, Radius of the earth R = 6370km. Find
a) The distance between the two towns along the parallel of latitude in km.
b) The distance between the towns along a parallel of latitude in nautical miles.
c) A plane flew from P to Q taking the shortest distance possible. It took the plane 15 hours to move from P and Q.
Calculate it’s speed in knots
Date posted:
May 6, 2019
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Answers (1)
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In the figure below, E is the midpoint of AB, OD:DB=2:3 and F is the point of intersection of OE and AD.
(Solved)
In the figure below, E is the midpoint of AB, OD:DB=2:3 and F is the point of intersection of OE and AD.

a) Given that OA = a and OB = b , express in terms of a and b
i) OE
ii) AD
b) Given further that AF = tAD and OF = sOE where s and t are scalars, find the values of s and t.
c) Show that O, F and E are collinear.
Date posted:
May 6, 2019
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Answers (1)
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a) PQRS is a quadrilateral with vertices p(1, 4) Q(2, 1), R(2, 3) and S(6, 4). On the grid provided plot the quadrilateral
(Solved)
a) PQRS is a quadrilateral with vertices p(1, 4) Q(2, 1), R(2, 3) and S(6, 4). On the grid provided plot the quadrilateral
b) Draw P1Q1R1S1 the image of PQRS under a positive quarter turn about the origin and write down its co-ordinates.
c) Draw P11Q11R11S11 the image of P1Q1R1S1 under the transformation whose matrix is
and write down its co-ordinates.
d) Determine the matrix T of a single transformation that maps PQRS onto P11Q11R11S11
Date posted:
May 6, 2019
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Answers (1)
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In a geometrical progression, the sum of the second and third terms is 6; and the sum of the third and fourth terms is -12....
(Solved)
In a geometrical progression, the sum of the second and third terms is 6; and the sum of the third and fourth terms is -12. Find:
a) (i) The first term
(ii) The common ration
b) The sum of number of consecutive terms of an arithmetical progression is -19 ½ ; the first term is 16 ½ ; and the common difference is -3. Find the number of terms.
Date posted:
May 6, 2019
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Answers (1)
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The table below shows the number of students who scored marks in mathematics test.
(Solved)
The table below shows the number of students who scored marks in mathematics test.

a) Draw a cumulative frequency graph for the data.
b) Use the graph to estimate the median mark.
c) If students who score over 40 marks pass the tests estimate the percentage of the students
i) who passed
ii) who failed
Date posted:
May 6, 2019
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Answers (1)
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X and Y are two variables such that Y is partly constant and partly varies inversely as the square of X. If Y = 3...
(Solved)
X and Y are two variables such that Y is partly constant and partly varies inversely as the square of X. If Y = 3 when X= 2 and Y = 5 when X = 1, find Y when X = 4.
Date posted:
May 6, 2019
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Answers (1)
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The equation of a circle centre (h, k) is 2x2 + 2y2– 8x + 5y + 10 = 0. Find the values of h and...
(Solved)
The equation of a circle centre (h, k) is 2x2 + 2y2– 8x + 5y + 10 = 0. Find the values of h and k.
Date posted:
May 6, 2019
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Answers (1)
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Find the equation of the normal to the tangent of the curve y=x3 – 3x2 + 2x + 1 at the point where x=3. Leave...
(Solved)
Find the equation of the normal to the tangent of the curve y=x3 – 3x2 + 2x + 1 at the point where x=3. Leave your answer in the form y=mx + c.
Date posted:
May 6, 2019
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Answers (1)
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The sector below has a radius of 12cm and an angle AOC = 60o is folded to form a cone. Find the volume of the...
(Solved)
The sector below has a radius of 12cm and an angle AOC = 60o is folded to form a cone. Find the volume of the cone
formed.

Date posted:
May 6, 2019
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Answers (1)
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P and Q are two points such that OP = i + 2j + 3k and OQ = 4i + 5j – 3k. M is...
(Solved)
P and Q are two points such that OP = i + 2j + 3k and OQ = 4i + 5j – 3k. M is a point that divides PQ externally in the
ratio 3:2. Find the co-ordinates of M.
Date posted:
May 6, 2019
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Answers (1)
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Find the variance and standard deviation of 3, 5, 7, 9, 11
(Solved)
Find the variance and standard deviation of 3, 5, 7, 9, 11
Date posted:
May 6, 2019
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Answers (1)
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Use mathematical tables to evaluate.
(Solved)
Use mathematical tables to evaluate.

Date posted:
May 6, 2019
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Answers (1)
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A particle P moves in a straight line such that t seconds after passing a fixed point Q. it’s velocity is given by the
equation 2t3...
(Solved)
A particle P moves in a straight line such that t seconds after passing a fixed point Q. it’s velocity is given by the
equation 2t3 -10t + 12 find:
a) The values of t when p is instantaneously at rest.
b) An expression for the distance moved by P after t seconds.
c) The total distance traveled by P in the first 3 seconds after passing point O.
d) The distance of P from O when acceleration is zero.
Date posted:
May 6, 2019
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Answers (1)
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A tailor bought a number of suits at a cost of sh.57,000 from Ken-suit wholesalers. Had he bought the same number of
suits from Umoja wholesalers...
(Solved)
A tailor bought a number of suits at a cost of sh.57,000 from Ken-suit wholesalers. Had he bought the same number of
suits from Umoja wholesalers it would have costed him sh.480 less per suit. This would have enabled him to buy 4
extra suits for the same amount of money.
a) Find the number of suits the tailor bought.
b) The tailor later sold each suit for sh.720 more than he had paid for it. Determine the percentage profit he made.
Date posted:
May 6, 2019
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Answers (1)
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The following measurement were recorded in a field book using XY as the baseline. XY = 400m.
(Solved)
The following measurement were recorded in a field book using XY as the baseline. XY = 400m.

a) Using a scale of 1:4000 draw an accurate map of the farm.
b) Determine the actual area of the farm in hectares.
c) If the farm is on sale at sh.80,000 per hectare find how much the farm costs.
Date posted:
May 6, 2019
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Answers (1)