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- (a) Expand:
(2 + x)5 up to the term containing x3(Solved)
(a) Expand:
(2 + x)5 up to the term containing x3
(b) Use the expansion in (a) above to the find the approximate value of (1.99)5 correct to three decimal places.
Date posted: May 6, 2019. Answers (1)
- A tea blender buys two grades of tea at Sh. 60 and Sh. 80 per packet. Find the ratio in which she should mix them...(Solved)
A tea blender buys two grades of tea at Sh. 60 and Sh. 80 per packet. Find the ratio in which she should mix them so
that by selling the mixture at Sh. 90, a profit of 20% is realized.
Date posted: May 6, 2019. Answers (1)
- Three quantities; P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
If...(Solved)
Three quantities; P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
If P = 6 when Q = R and R = 25. Find the value of P when Q = 15 and R = 81.
Date posted: May 6, 2019. Answers (1)
- The figure shows a circle centre O. The line AB = 14cm is a tangent to the circle such that OA = OB and angle...(Solved)
The figure shows a circle centre O. The line AB = 14cm is a tangent to the circle such that OA = OB and angle OAB = 1200.
Calculate the radius of the circle.
Date posted: May 6, 2019. Answers (1)
- Without using a calculator or mathematical tables, express the expression below in surd form.(Solved)
Without using a calculator or mathematical tables, express the expression below in surd form.
Date posted: May 6, 2019. Answers (1)
- Solve for x in
9x + 32x-3 = 51(Solved)
Solve for x in
9x + 32x-3 = 51
Date posted: May 6, 2019. Answers (1)
- A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25 litres. If the larger tank has a...(Solved)
A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25 litres. If the larger tank has a height
of 10cm. Calculate the height of the model tank, to the nearest cm.
Date posted: May 6, 2019. Answers (1)
- There are two boxes labeled A and B on a table. Box A contains 5 red balls and 3 white balls, while box B contains...(Solved)
There are two boxes labeled A and B on a table. Box A contains 5 red balls and 3 white balls, while box B contains 2 red
balls and 6 white balls. A box is chosen at a random and two balls are drawn from it, one after the other without
replacement. Find the probability that the two balls chosen are of different colours
Date posted: May 6, 2019. Answers (1)
- If (x+y) : (x-y)=8:3 find the ratio x:y(Solved)
If (x+y) : (x-y)=8:3 find the ratio x:y
Date posted: May 6, 2019. Answers (1)
- Given that the matrix (Solved)
Given that the matrix
(a) Determine M2
(b)Determine the possible pairs of values of a and b,
If
Date posted: May 6, 2019. Answers (1)
- The first three consecutive terms of a geometric progression are:
2, x and 8. Find the value of x(Solved)
The first three consecutive terms of a geometric progression are:
2, x and 8. Find the value of x
Date posted: May 6, 2019. Answers (1)
- Make y the subject of the formula in(Solved)
Make y the subject of the formula in
Date posted: May 6, 2019. Answers (1)
- Simplify the expression:
(3x – 2y)(2x + 3y)-5xy
Hence factorize your answer(Solved)
Simplify the expression:
(3x – 2y)(2x + 3y)-5xy
Hence factorize your answer
Date posted: May 6, 2019. Answers (1)
- Use logarithm tables to evaluate(Solved)
Use logarithm tables to evaluate
Correct to 3 significant figures
Date posted: May 6, 2019. Answers (1)
- A survey recorded the measurement of a field book using XY = 400m as the base line as shown below.(Solved)
A survey recorded the measurement of a field book using XY = 400m as the base line as shown below.
Find the area of the field in hectares.
Date posted: May 6, 2019. Answers (1)
- A piece of wire can be folded into a rectangle whose dimensions are such that its length is 3cm longer than the width.
The area of...(Solved)
A piece of wire can be folded into a rectangle whose dimensions are such that its length is 3cm longer than the width.
The area of the rectangle so formed is 28m2.
(a) Determined
(i) The dimensions of the rectangle
(ii) The perimeter of the rectangle
(b) The wire can also be folded into a circle. Taking 𝜋 =22/7.Find the radius of the circle and hence calculate its area.
Date posted: May 6, 2019. Answers (1)
- The diagram below shows a frustum which represents a bucket with an open top diameter of 30cm and a bottom
diameter of 24cm. The bucket is...(Solved)
The diagram below shows a frustum which represents a bucket with an open top diameter of 30cm and a bottom
diameter of 24cm. The bucket is 30cm deep and it is used to fill an empty cylindrical tank of diameter 1.4m and height
of 1.2m.
(a) Leaving your answer in terms of 𝜋 calculate
(i) The capacity of the bucket in litres
(ii) The capacity of the tank in litres
(b) Determine the number of bucket that must be drawn in order to fill that tank
Date posted: May 6, 2019. Answers (1)
- The distance between town A and B is 360km. A minibus left A at 8.15 am and travelled towards B at an average
speed of 90km/h....(Solved)
The distance between town A and B is 360km. A minibus left A at 8.15 am and travelled towards B at an average
speed of 90km/h. A matatu left B two and a third hours later on the same day and travelled towards A at an average
speed of 110km/hr.
(a) (i) At what time did the two vehicles meet?
(ii) How far from A did the vehicles meet
(b) A motorist started from his home at 10.30 am on the same day and travelled at an average speed of 100km/hr. He
arrived at B at the same time as the minibus. Calculate the distance from A to his house.
Date posted: May 6, 2019. Answers (1)
- The figure below shows triangle OPQ in which OP = P and OQ = p. M and N are points on OQ and OP respectively...(Solved)
The figure below shows triangle OPQ in which OP = P and OQ = p. M and N are points on OQ and OP respectively such
that ON:NP = 1:3 and OM:MQ = 2:1
(a) Express the following vectors in terms of p and q
(i) PM
(ii) QN
(iii) PQ
(b) Lines PM and QN intersect at X such that PX = hPM and QX = kQN. Express OX in two different ways and hence
find the value of h and k.
(c) OX produced meets PQ at Y such that PY :YQ = 3:2. Using the ratio theorem or otherwise, find OY in terms of P and q
Date posted: May 6, 2019. Answers (1)
- The number 5.81 contains an integral part and a recurring decimal. Convert the number into an improper fraction and hence into a mixed number(Solved)
The number 5.81 contains an integral part and a recurring decimal. Convert the number into an improper fraction and hence into a mixed number
Date posted: May 6, 2019. Answers (1)