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- 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)
- Find the value of m and n in the figure below.(Solved)
Find the value of m and n in the figure below.
Date posted: May 6, 2019. Answers (1)
- Solve the simultaneous inequality below.(Solved)
Solve the simultaneous inequality below.
2x – 5≤ 10 – 3x < x + 18.
Date posted: May 6, 2019. Answers (1)
- Sales lady sold goods whose marked price was Sh. 340,000 at a discount of 3%. She was paid Sh. 16,490 as a commission for this...(Solved)
Sales lady sold goods whose marked price was Sh. 340,000 at a discount of 3%. She was paid Sh. 16,490 as a commission for this sale. Calculate the percentage rate of commission she was paid.
Date posted: May 6, 2019. Answers (1)
- A solid consists of three discs each of 1.5cm thick with diameter of 4cm, 6cm and 8cm respectively. A central hole 2cm
in a diameter is...(Solved)
A solid consists of three discs each of 1.5cm thick with diameter of 4cm, 6cm and 8cm respectively. A central hole 2cm
in a diameter is drilled out as shown below. If the density of the material used is 2.8cm3, calculate it mass to 1 decimal place.
Date posted: May 6, 2019. Answers (1)
- Given that tan x =5/13,find the value of the following without using mathematics tables or a calculator:(Solved)
Given that tan x =5/13,find the value of the following without using mathematics tables or a calculator:
(a) Cost x
(b) Sin2(90 – x)
Date posted: May 6, 2019. Answers (1)
- Mutai imports rice from the United States at initial cost of 500 US Dollars per tonne. He then pays 20% of this amount
as shipping costs...(Solved)
Mutai imports rice from the United States at initial cost of 500 US Dollars per tonne. He then pays 20% of this amount
as shipping costs and 10% of the same amount as custom duty. When the rice reaches Mombasa he has to pay 5% of the initial cost to transport it to Nairobi. Given that on the day of this transaction the exchange rate was 1US Dollar =KSh. 76.60. Calculate the total cost of importing one tonne of rice up to Nairobi in Kenya Shillings.
Date posted: May 6, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- (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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- Simplify the expression.(Solved)
Simplify the expression.
Date posted: May 6, 2019. Answers (1)
- Evaluate the following;(Solved)
Evaluate the following;
Date posted: May 6, 2019. Answers (1)
- Given the equations: y=4 -x2 and y=x2-2x;(Solved)
Given the equations: y=4 -x2 and y=x2-2x;
a) Find the co-ordinates of the points where the two curves meet. (2 marks)
b) Find the co-ordinates of points where y=4 -x2 meet:
(i) The x-axis.
(ii) The y-axis
c) Find the co-ordinates of the points where y=x2– 2x meet;
(i) The x-axis
(ii) The y-axis
d) Sketch the two curves above on the same axes
e) Find the area enclosed between the curves y=4-x2 and y=x2 – 2x.
Date posted: May 6, 2019. Answers (1)
- Compete the table below(Solved)
Compete the table below
b) On the same axes draw the graphs of y= sin(x+30)o and y= 2cos(x+30)o.
c) Use your graphs to solve the equation 2cos(x+30)o – sin(x+30)o = 0
d) State the amplitude of each wave.
Date posted: May 6, 2019. Answers (1)