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- Ruto is 2.5 times as old as his son. Five years ago, the ratio of their ages was 8:3. What will be their ages 6...(Solved)
Ruto is 2.5 times as old as his son. Five years ago, the ratio of their ages was 8:3. What will be their ages 6 years from now?
Date posted: April 26, 2019. Answers (1)
- Thirty two men working at the rate of 9hrs a day can complete a piece of work in 7 days. How many more men working...(Solved)
Thirty two men working at the rate of 9hrs a day can complete a piece of work in 7 days. How many more men working at the rate
of 8hrs a day would complete the same work in 6 days?
Date posted: April 26, 2019. Answers (1)
- A solid metal cuboid 1.5m long, 0.4m wide and 0.25m high is made of material of density 7.5g/cm³. Calculate its mass in kg.(Solved)
A solid metal cuboid 1.5m long, 0.4m wide and 0.25m high is made of material of density 7.5g/cm³. Calculate its mass in kg.
Date posted: April 26, 2019. Answers (1)
- Simplify the expression given below(Solved)
Simplify the expression given below
Date posted: April 26, 2019. Answers (1)
- The interior angle of a regular polygon is 6.5 times the exterior angle. How many sides has the polygon.(Solved)
The interior angle of a regular polygon is 6.5 times the exterior angle. How many sides has the polygon.
Date posted: April 26, 2019. Answers (1)
- Find the perimeter of the figure below. Give your answer correct to 4s.f.(Solved)
Find the perimeter of the figure below. Give your answer correct to 4s.f.
Date posted: April 26, 2019. Answers (1)
- Convert into a fraction.(Solved)
Date posted: April 26, 2019. Answers (1)
- Use the tables of reciprocals and square roots to evaluate.(Solved)
Use the tables of reciprocals and square roots to evaluate.
Date posted: April 26, 2019. Answers (1)
- Find the equation of a line passing through (2, 1) and perpendicular to the line which makes an angle of 45º with the X-axis.(Solved)
Find the equation of a line passing through (2, 1) and perpendicular to the line which makes an angle of 45º with the X-axis.
Date posted: April 26, 2019. Answers (1)
- A Kenyan Bank buys and sells foreign currencies as shown below.(Solved)
A Kenyan Bank buys and sells foreign currencies as shown below.
A Japanese travelling from France arrives in Kenya with 5000 Euros. He converts all the 5000 Euros to Kenya Shillings at the bank.
While in Kenya he spends a total of Ksh.289,850 and then converts the remaining Ksh. to Japanese Yen at the bank. Calculate the
amount in Japanese Yen that he receives.
Date posted: April 26, 2019. Answers (1)
- Evaluate the following:(Solved)
Evaluate the following.
Date posted: April 26, 2019. Answers (1)
- Use logarithm to evaluate:(Solved)
Use logarithm to evaluate:
Date posted: April 26, 2019. Answers (1)
- Solve for m in the equation given below:(Solved)
Solve for m in the equation:
Date posted: April 26, 2019. Answers (1)
- The signals have been set to flash at interval of 15 minutes, 24 minutes if they all flash at 8.13am when will they flash together.(Solved)
The signals have been set to flash at interval of 15 minutes, 24 minutes if they all flash at 8.13am when will they flash together.
Date posted: April 26, 2019. Answers (1)
- The equation of a curve is given by y = 11x – x2.(Solved)
The equation of a curve is given by y = 11x – x2.
(a) Determine coordinates of the stationary point.
(b) By integration, determine the actual area bounded by the curve y = 11x – x2 and the line y = 2x
(c) Find the equation of the normal to the curve at x =2
Date posted: April 26, 2019. Answers (1)
- The thirteen term of an arithmetic progression is 27. Given that the seventh term equals to three times the second
term, find(Solved)
The thirteen term of an arithmetic progression is 27. Given that the seventh term equals to three times the second
term, find
(a) The first term and the common difference of the progression.
(b) The sum of the first three even numbered terms of the progression.
(c) It’s given that (b-9/4), b and (b + 3.375) are the 2nd,3rd, and 4th terms of a geometric progression. Determine the value of b.
Date posted: April 26, 2019. Answers (1)
- Transmasra Sugar Company has 36 hectares of land. The company decides to prepare the land for planting wheat and
maize. The labour cost of planting maize...(Solved)
Transmasra Sugar Company has 36 hectares of land. The company decides to prepare the land for planting wheat and
maize. The labour cost of planting maize is KSh. 300 per hectare while it costs KSh. 900 to plant a hectare of wheat.
Maize takes 3 labourers per hectare while wheat takes 6 labourers per hectare. Atleast 72 labourers are to be hired
and KSh. 15,000 is to be spent for labour costs. The company hopes to make a profit of KSh. 2,000 per hectare of maize
and KSh. 4,500 per hectare of wheat. Let the number of hectares for maize be x, Let the number of hectares for wheat
be y
(a) Write down inequalities representing the above information.
(b) On the grid provided, draw the inequalities by shading unwanted regions
(c) Use the graph to:-
(i) determine the number of hectares of maize and wheat that should be prepared in order for the company to maximize profit.
(ii) Calculate the maximum profit
Date posted: April 26, 2019. Answers (1)
- The following table shows the distribution of marks obtained by 50 students of Matare Secondary School.(Solved)
The following table shows the distribution of marks obtained by 50 students of Matare Secondary School.
(a) By using an assumed of 62, calculate:
(i) The mean
(b) The variance
(c) The standard deviation
Date posted: April 26, 2019. Answers (1)
- A and B are two points on the latitude 400N. The two points lie on the longitude 200W and 1000E respectively.(Solved)
A and B are two points on the latitude 400N. The two points lie on the longitude 200W and 1000E respectively.
(a) Calculate:-
(i) The distance from A to B along a parallel of latitude.
(ii) The shortest distance from A to B along a great circle.
(b) Two planes P and Q left A for B at 400 knots and 600 knots respectively. If P flew along the great circle and Q along
parallel latitude, which one arrived earlier and by how long. Give your answer to the nearest minute. (Take R =6370 km and 𝜋 =22/7)
Date posted: April 26, 2019. Answers (1)
- The figure below shows a frustum ABCDEFGH of a right pyramid such that AB = 9cm, BC = 12cm, FG = 6cm GH = 8cm
and...(Solved)
The figure below shows a frustum ABCDEFGH of a right pyramid such that AB = 9cm, BC = 12cm, FG = 6cm GH = 8cm
and the height of the frustum is 10cm.
Find the
(a) Height of pyramid
(b) Length of
(i) AC
(ii) AH
(c) Calculate the angle between:
(i) Line AH and the plane ABCD
(ii) The planes ABHE and ABCD
Date posted: April 26, 2019. Answers (1)