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Write the expression of (2 – 1/5 x)6 up to the term in x4. Hence use the expansion to find the value of (1.96)6 correct...
(Solved)
Write the expression of (2 – 1/5 x)6 up to the term in x4. Hence use the expansion to find the value of (1.96)6 correct to 3 decimal places.
Date posted:
September 20, 2019
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Answers (1)
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The position vectors of points A and B are a = 2i + j – 8k and b = 3i +2j – 2k respectively....
(Solved)
The position vectors of points A and B are a = 2i + j – 8k and b = 3i +2j – 2k respectively. Find the magnitude of AB.
Date posted:
September 20, 2019
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Answers (1)
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A quantity P varies partly as t and partly as the square of t.When t = 20, p = 45 , and when t =...
(Solved)
A quantity P varies partly as t and partly as the square of t.When t = 20, p = 45 , and when t = 24 , p = 60.
a)Express p in terms of t.
b)Find p when t = 32.
Date posted:
September 20, 2019
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Answers (1)
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Express the recurring decimal below as a fraction; 4.372 leaving your answer in the form of a/b where a and ...
(Solved)
Express the recurring decimal below as a fraction; 4.372 leaving your answer in the form of a/b where a and b are integers.
Date posted:
September 20, 2019
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Answers (1)
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Use logarithms only to evaluate,
Correct to four significant figures.
(Solved)
Use logarithms only to evaluate,

Correct to four significant figures.
Date posted:
September 20, 2019
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Answers (1)
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(a) Complete the table below for the function:
(b) Use the mid-ordinate rule with six ordinates to estimate the area enclosed by the curve...
(Solved)
(a) Complete the table below for the function:

(b) Use the mid-ordinate rule with six ordinates to estimate the area enclosed by the curve of the functions y = x2 – 3x + 5, x – axis and the lines x = 2 and x = 8.
(c) Find the exact area of the region described in (b) above.
(d) If the mid-ordinates rule is used to estimate the area under the curve between x = 2 and x = 8, what will be the percentage error in the estimation?
Date posted:
September 20, 2019
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Answers (1)
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A farmer has at least 50 acres of land on which he plans to plant potatoes and cabbages.
Each acre of potatoes requires 6 men...
(Solved)
A farmer has at least 50 acres of land on which he plans to plant potatoes and cabbages.
Each acre of potatoes requires 6 men and each acre of cabbages requires 2 men. The farmer has 240 men available and he must plant at least 10 acres of potatoes. The profit on potatoes is Ksh. 1000 per acre and on cabbages is Ksh. 1200 per acre. If he plants x acres of potatoes and y acres of cabbages:
(a)Write down three inequalities in x and y to describe this information.
(b)Represent these inequalities graphically.
Date posted:
September 20, 2019
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Answers (1)
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In the diagram M is the midpoint of XZ. OX = p + 2q. Oz = 7p – 2q and ZY = 3Kq + Mp...
(Solved)
In the diagram M is the midpoint of XZ. OX = p + 2q. Oz = 7p – 2q and ZY = 3Kq + Mp where
k, and m are constants.

(a)Express the following in terms of p and q.
(i) XZ
(ii) XM
(iii) OM
(b)Express OY in terms of p, q, k and m.
(c)If y lies on OM produced with OY:OM = 3:2. Find the values of k and m.
Date posted:
September 20, 2019
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Answers (1)
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A blender mixes two brands of Juice A and B to obtain 70mls of the mixture worth Ksh. 165 per litre. If brand...
(Solved)
A blender mixes two brands of Juice A and B to obtain 70mls of the mixture worth Ksh. 165 per litre. If brand A is valued at Ksh. 168 per 1 litre bottle and brand B at Ksh. 153 per 1 litre bottle, calculate the ratio in which the bands A and B are mixed.
Date posted:
September 20, 2019
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Answers (1)
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A circle whose equation is (x – 1)2 + (y – k)2 = 10 passes through point (2,5). Find the coordinates of the two...
(Solved)
A circle whose equation is (x – 1)2 + (y – k)2 = 10 passes through point (2,5). Find the coordinates of the two possible centres of the circle.
Date posted:
September 20, 2019
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Answers (1)
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Use logarithm table to evaluate:
(Solved)
Use logarithm table to evaluate:

Date posted:
September 20, 2019
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Answers (1)
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The curve y =3x2- 6x + 6 passes through the point s ( 2,3)(a)Determine the gradient function of the curve.(b) Find the co-ordinates of...
(Solved)
The curve y=3x2- 6x + 6 passes through the point s ( 2,3)
(a)Determine the gradient function of the curve.
(b) Find the co-ordinates of the turning point of the curve.
(c) Determine whether the point is a minima or a maxima.
(d) Find the equation of the
(i) Tangent to the curve at S.
(ii) Normal to the curve at S.
Date posted:
September 20, 2019
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Answers (1)
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The relationship between two variables S and T is given by the equation S = KTn where K and n are constants.
(a) Write down the...
(Solved)
The relationship between two variables S and T is given by the equation S = KTn where K and n are constants.

(a) Write down the linear equation relating to S and T
(b) Hence complete the table above for the linear equation relating to S and T.
(c) Draw a suitable straight line graph to represent the data.
(d) use your graph to determine the values of K and n.
(e) find the value of S when T = 3.5
Date posted:
September 20, 2019
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Answers (1)
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Three quantities P,Q,and R are such that P varies jointly with Q and the square of R . if P = 900 when...
(Solved)
Three quantities P,Q,and R are such that P varies jointly with Q and the square of R . if P = 900 when
Q = 20 and R = 3
Find (i) an equation connecting P, Q and R
(ii) the value of R when Q = 10 and P = 800
Date posted:
September 20, 2019
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Answers (1)
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A supermarket is stocked with plates which come from two suppliers A and B. They are bought in the ratio of 3:5 respectively, 10% of...
(Solved)
A supermarket is stocked with plates which come from two suppliers A and B. They are bought in the ratio of 3:5 respectively, 10% of plates from A are defective and 6% of the plates from B are defective.
(a) A plate is chosen by a buyer at random. Find the probability that;
(i) it is from A
(ii) it is from B and it is defective.
(iii) it is defective
(b) Two plates are chosen at random. Find the probability that:
(i) both are defective
(ii) at least one is not defective.
Date posted:
September 20, 2019
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Answers (1)
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In a square PQRS, A is the mid-point of PQ and B is the mid-point of QR, while C is a point on BP such...
(Solved)
In a square PQRS, A is the mid-point of PQ and B is the mid-point of QR, while C is a point on BP such that 2BC = 3CP. The co-ordinates of P, Q and S are (4,4), (14,4) and (4,14) respectively. Find:
(a) (i) the column vectors of PQ and PS.
(ii) co-ordinates of R
(b) Show that A, C, S are collinear.
Date posted:
September 20, 2019
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Answers (1)
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In the figure below O is the centre of the circle and PTQ is the tangent at T. If PT=ST and angle SRT=52o. Determine the...
(Solved)
In the figure below O is the centre of the circle and PTQ is the tangent at T. If PT=ST and angle SRT=52o. Determine the size of the angles below giving reasons:

(a) PTS
(b) RTQ
(c) TSR
(d) TQR
(e) PSQ
Date posted:
September 19, 2019
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Answers (1)
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Given that 9x2+36x-40+k is a perfect square, find the value of k.
(Solved)
Given that 9x2+36x-40+k is a perfect square, find the value of k.
Date posted:
September 19, 2019
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Answers (1)
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Find the limits within which the area of a parallelogram whose base is 8cm and height is 5cm lies. Hence find the relative error in...
(Solved)
Find the limits within which the area of a parallelogram whose base is 8cm and height is 5cm lies. Hence find the relative error in the area.
Date posted:
September 19, 2019
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Answers (1)
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At Mweinga farm, a cow takes at least 180 units of vitamin A and not less than 160 units of vitamin B. Vitamin A and...
(Solved)
At Mweinga farm, a cow takes at least 180 units of vitamin A and not less than 160 units of vitamin B. Vitamin A and B are available in two types of feeds, x and y. Type x feeds contains 45 units per kg of vitamin A and 20 units per kg of vitamin B while type Y feeds contains 30 units per kg of vitamin A and 40 units of vitamin B. Taking x and y to be the number of Kgs of feed x and y respectively taken by the cow per day.
a)Form all the inequalities that represent the above information.
b)Show the region described by the all inequalities in (a) above graphically.
c)Given that 1kg of x costs sh40 and 1kg of y costs sh50, use your graph in (b) above to determine the least cost of maintaining a cow at the Mweinga farm.
Date posted:
September 19, 2019
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Answers (1)