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Lengths of 100 mango leaves from a certain mango tree were measured to the nearest centimeter and recorded as per the table below,
a) draw a cumulative frequency graph to represent this data.
b)Use your graph to estimate
i)The median length of the leaves
ii)The number of leaves whose lengths lie between 13cm and 17cm.
Date posted:
September 17, 2019
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A globe representing the earth has a radius of 0.5m. point A(00, 100W), B (00, 350E), P(600N, 1100E) and Q(600N, 1200W) are marked on the globe.
a)Find the length of arc AB, leaving your answer in term of π
b)If O is the centre of the latitude 600N, find the area of the minor sector OPQ
c)Of the local time at Q is 10.30 a.m. on Monday, Determine the local time and day at P.
Date posted:
September 17, 2019
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The table below shows the current taxation rates in Kenya
A member of parliament’s monthly earnings are as follows: Basic salary Kshs. 300 000, commuted mileage allowance of Kshs. 75 000, entertain allowance Ksh. 60 000, extraneous allowance Ksh. 30 000, house allowance Kshs. 70,000, car maintaince allowance Kshs 247 000. he is entitled to a personal relief of Kshs. 1162 every month.
a)If before the promulgation of the new constitution all the MP’s allowances were tax free, calculate the PAYE the MP’s used to pay
b)In the new constitution all the MP’s are taxed just like the other Kenyans. Calculate the percentage increase in the MP’s PAYE after the new law was passed.
Date posted:
September 17, 2019
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Two large and one small pump can fill a swimming pool in 4 hours. One large and three small pumps can also fill the swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps.
Date posted:
September 17, 2019
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A quantity D is directly proportional to Y and inversely proportional to the square of X. if Y is double and X is increased by 20%, find the ratio of the new value of D to the original value of D in the form a:b where a and b are integers.
Date posted:
September 17, 2019
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Determine the equation of the tangent to the curve 
at the point x = 2.
Date posted:
September 17, 2019
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In the figure above OC is the tangent to the circle. If OE =8cm and OC = 6cm. find EA.
Date posted:
September 17, 2019
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A circle centre is the point C(2,3) passes through a point P(a,b). a point 
is the mid-point of the line CP.
a)Calculate the coordinates of P.
b)Determine the equation of the circle in the form x2 +y2 +ax + by + c = 0
Date posted:
September 17, 2019
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a) Expand and simplify (2x + y)5
b) Using the first four terms of the expansion to evaluate 6.025
Date posted:
September 17, 2019
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Evaluate 5 cos2θ + 2 = 3sin2θ - 2cos θ given that 
Date posted:
September 17, 2019
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Given that OA=6p – 4q, OB = 20 – 14q and AB = m(2p + 5q), Find the value of m.
Date posted:
September 17, 2019
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Given the equation y = x2 – 5x +6
a)In the space provided below sketch the graph of the equation y = x2 – 5x +6
b)Write down the co – ordinates of the Y intercept and X intercept
c)Calculate the area grounded by the curve y = x2 – 5x +6 and the lines x = 0
and x= 4
Date posted:
September 17, 2019
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The table below shows corresponding values of X and Y which are believed to be connected by a relation of the form Y = abx – 10 where a and b are constants.
By drawing an appropriate straight line graph on the grid provided
(i) Find the approximate numerical values of a and b
(ii) Hence establish the particular mathematical equation connecting the variables X and Y
b)By using the equation find the value of Y when X = 4.5 to the nearest Unit
Date posted:
September 17, 2019
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In a triangle below AOB, OA = a, OB = b, M is the midpoint of AB and N is a point on OB such that ON: NB = 1:2 AN and OM intersect at P
a) Express the following vectors in terms of a and b
AB
OM
AN
If OP = SOM express OP in terms of t, a and b
b) If AP = tAN express
AP in terms of t , a and b
c)Hence express OP in terms of t, a and b
d)Using the results above solve for s and t
Date posted:
September 17, 2019
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Convert the following recurring decimal to a fraction 5.3°17°
Date posted:
September 17, 2019
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Factorize a2 –b2 hence find the exact value of 48972 – 47972
Date posted:
September 17, 2019
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a) Given that y = 2cos (2x – 30)o is the equation of a curve state the amplitude and period of the curve
b)Given that y = -1 1/5 in the above function, find x where 
Date posted:
September 17, 2019
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Machine A can do a piece of work n 6 hours while machine B can do the same piece of work in 9 hours. Machine A was set to do the piece of work but after 3 hours it broke down and machine B did the rest of the work. Find how long would machine B take to do the rest of the work
Date posted:
September 17, 2019
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Make t the subject of the formular
Date posted:
September 17, 2019
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Use matrix method to solve the following pair of simultaneous equation
3x + 2y = 12
-y + 4x = 5
Date posted:
September 17, 2019
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P varies directly as Q and inversely as the square of R. When Q=5 and R=3, P=20. Find R when P=21.6 and Q=15
Date posted:
September 17, 2019
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Without using tables and calculators simplify 
by rationalizing the denominator
Leave your expression in surd form
Date posted:
September 17, 2019
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The 1st 2nd and 5th terms of an arithmetic progression series are three consecutive terms of a G.P, find the ratio of the G.P
Date posted:
September 17, 2019
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Solve the compound inequalities 
and hence list down the integers which satisfy the inequalities
Date posted:
September 17, 2019
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Expand (1 – 2x)5 hence use the expansion up to the forth term to estimate the value of (0.8)5 correct to 3 decimal places
Date posted:
September 17, 2019
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Use logarithms tables to evaluate
Date posted:
September 17, 2019
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A manufacturer discovers that a mixture of juice brand A which costs Kshs. 30 per litre and juice brand B which costs Kshs. 45 per litre would cost Kshs. 40 per litre of the same mixture.
a)How much of each would be required to produce one litre of each mixture.
b)If the cost of production of juice brand A is shs. 27 per litre and juice brand B which costs shs. 42 per litre. What price must the manufacturer sell the mixture to make a profit of 20% per litre?
c)If the cost of production decreases by 10% for juice brand B, what price must the manufacturer sell to retain the same profit margin?
Date posted:
September 17, 2019
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The diagram below shows a sketch of the line y = 16 – x2 and y = x2 – 4x intersecting at point A and B.
a)Find the coordinates of A and B.
b)Calculate the area bounded by the curve y = 16 – x2 the y-axis and the x-axis.
c)Calculate the area of the shaded region that lies below the x – axis.
d)Calculate the area of the region enclosed by the curves y = 16 – x2, y = x2 – 4x and the y – axis.
Date posted:
September 17, 2019
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Towns P(360N, 490E) and town Q(360N, 1310W) are on the earth surface.
a)Find the difference between P and Q along the parallel of latitude given that the radius of the earth is 6370km. (Give your answer to the nearest km.)
b)Another town R, is 840km East of town Q and on the same latitude, find the position of R.
c)If the local time at town Q is 12:30am on Monday, what is the local time of town R?
Date posted:
September 17, 2019
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The table below shows the values of x and y for the curve represented by;
Date posted:
September 17, 2019