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- Three business partners Mogambi, Ouko and Memba contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively to start a business of matatu plying Kisii – Kisumu...(Solved)
Three business partners Mogambi, Ouko and Memba contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively to start a business of matatu plying Kisii – Kisumu route. The matatu carries 14 passengers with each
paying Sh. 250. The matatu makes 2 round trips everyday and is ever full. Each day Sh. 6000 is used to cover running
costs and wages.
(a) Calculate their profit per day.
(b) The matatu works for 25 days per month and is serviced every month at a cost of Sh. 10,000. Calculate their
monthly profit in June. (1 Month)
(c) The three partners agreed to save 40% of the profit, 24% to be shared in the ratio of their contribution and the
remaining to be shared equally. Calculate Ouko’s share in the month of July.
(d) The matatu developed a mechanical problem and they decided to sell it through an agent who charged a
commission of 5% on the selling price. Each partner received Sh. 475,000 from the agent after he had taken his
commission. Determine the price at which the agent sold the matatu.
Date posted: May 10, 2019. Answers (1)
- Form three inequalities that satisfy the un-shaded region.(Solved)
Form three inequalities that satisfy the un-shaded region.
Date posted: May 10, 2019. Answers (1)
- Three business partners: Kioko, Njau and Osiako are to share Sh. 12,000 in the ratio 5:6:x respectively. If Kioko
received Sh. 4000, determine the value of...(Solved)
Three business partners: Kioko, Njau and Osiako are to share Sh. 12,000 in the ratio 5:6:x respectively. If Kioko
received Sh. 4000, determine the value of x.
Date posted: May 10, 2019. Answers (1)
- ABCD is trapezium in which AB is parallel to DC, AB = 6cm, DC = 12cm, angle ADC = 400 and AD = 10cm. Calculate...(Solved)
ABCD is trapezium in which AB is parallel to DC, AB = 6cm, DC = 12cm, angle ADC = 400 and AD = 10cm. Calculate the
area of the trapezium.
Date posted: May 10, 2019. Answers (1)
- A straight line 1 passes through the point (3,-2) and is perpendicular to a line whose equation is 2y – 4x = 1. Find the
equation...(Solved)
A straight line 1 passes through the point (3,-2) and is perpendicular to a line whose equation is 2y – 4x = 1. Find the
equation of 1 in the form y = mx + c, where m and n are constants.
Date posted: May 10, 2019. Answers (1)
- Given that theta is an acute angle and (Solved)
Given that theta is an acute angle and 
find without using calculators or mathematical table, tan (90-x)0 .
Date posted: May 10, 2019. Answers (1)
- The sides of a rectangle are given as 4.2cm and 2.8m, each correct to one decimal place. Find the percentage error in
its area.(Solved)
The sides of a rectangle are given as 4.2cm and 2.8m, each correct to one decimal place. Find the percentage error in
its area.
Date posted: May 10, 2019. Answers (1)
- The length of a rectangle is (3x+1)cm. Its width is 3cm shorter than the length. Given that area of the rectangle is
28cm2, find its length.(Solved)
The length of a rectangle is (3x+1)cm. Its width is 3cm shorter than the length. Given that area of the rectangle is
28cm2, find its length.
Date posted: May 10, 2019. Answers (1)
- Given that Sin (2x-10) = Cos 600 and x is an acute angle, find x.(Solved)
Given that Sin (2x-10) = Cos 600 and x is an acute angle, find x.
Date posted: May 10, 2019. Answers (1)
- The figure below shows a histogram. Fill in the table below the missing frequencies.(Solved)
The figure below shows a histogram.
Fill in the table below the missing frequencies.
Date posted: May 10, 2019. Answers (1)
- A water tank has a capacity of 70 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 70 litres. A similar model tank has a capacity of 0.25 litres. If the larger tank has a height
of 150cm, calculate the height of the model.
Date posted: May 10, 2019. Answers (1)
- Simplify the expressions;(Solved)
Simplify the expressions;
Date posted: May 10, 2019. Answers (1)
- Use tables of squares, square roots and reciprocals to evaluate to 3 decimal places.(Solved)
Use tables of squares, square roots and reciprocals to evaluate to 3 decimal places.
Date posted: May 10, 2019. Answers (1)
- Simplify the expression(Solved)
Simplify the expression
Date posted: May 10, 2019. Answers (1)
- In chemistry form 4 classes, 1/3 of the class are girls and the rest boys, 4/5 of the boys and 9/10 of the girls are...(Solved)
In chemistry form 4 classes, 1/3 of the class are girls and the rest boys, 4/5 of the boys and 9/10 of the girls are right handed
while the rest are left handed. The probability that a right-handed student breaks a conical flask in any practical session is
3/10 and the corresponding probability of a left-handed student 4/10 . The probabilities are independent of the students
gender.
a) Represent the above information on a tree diagram with independent probabilities.
b) Determine the probability that student chosen at random form the class is left handed and does not break a conical flask in
simplest form.
c) Determine the probability that a conical flask is broken in any chemistry practical session in simplest
d) Determine the probability that a conical flask is not broken by a right-handed student in the simplest form.
Date posted: May 9, 2019. Answers (1)
- The velocity , Vm/s, of the particles projected into space is given by the formula: V = 5t² - 2t² + 9 where t is...(Solved)
The velocity , Vm/s, of the particles projected into space is given by the formula: V = 5t² - 2t² + 9 where t is time in seconds
elapsed since projection,
Determine
a) The acceleration of the particle when t = 4
b) The value of t which minimises the acceleration.
c) The velocity of the particle when acceleration is minimum
d) The total distance moved by the particle between t = 1 to t = 4 seconds.
Date posted: May 9, 2019. Answers (1)
- Use a ruler and a pair of compass only in the constructions below:(Solved)
Use a ruler and a pair of compass only in the constructions below:
a) Construct a triangle ABC such that AB = 4cm, BC = 5cm and angle ABC = 120°, measure AC.
b) On the same diagram
i) locate P the locus of a point equidistance from the three vertices of the triangle ABC and demonstrate this using a circle.
Measure the radius of the circle.
ii) On the same side of BC as A, construct Q the locus of points such that angle BQC = 120°.
iii) On the side of AC opposite point B construct R the locus of points 4cm from line AC.
iv) Within the circle shade the set of points such that Angle BQC ≥ 120°
Date posted: May 9, 2019. Answers (1)
- A plane took 2h 10 minutes to fly from town A(6°S, 70°E) to town B (18°N, 70°E) (Take the radius of the earth to be...(Solved)
A plane took 2h 10 minutes to fly from town A(6°S, 70°E) to town B (18°N, 70°E) (Take the radius of the earth to be 6370km
and PI = 22/7 )
a) Find the average speed of the plane.
b) A traveller in the plane spent 30 minutes in town B conducting some business. He took a second plane to town C (18°N,
10°E). The average speed of the second plane was 70% that o the first plane. Determine the time to the nearest minute the
plane took to travel from B to C.
c) When the plane took off at town A the local time was 0400h. Find the local time at C when the traveller arrived .
Date posted: May 9, 2019. Answers (1)
- In the figure below EFGHIJKL is a square based frustum whose dimensions are as shown. The perpendicular height of the
frustum is 9cm. Given that EF...(Solved)
In the figure below EFGHIJKL is a square based frustum whose dimensions are as shown. The perpendicular height of the
frustum is 9cm. Given that EF = FG = GH = HE = 10cm and JK=KL=IL=IJ=4cm.
a) Calculate
i) The altitude of the pyramid
ii) The angle between the line FK and the base EFGH
iii) The angle between line LG and EF
b) The volume of the frustum
Date posted: May 9, 2019. Answers (1)
- Each acre of potatoes required 9 men and each acre of cabbages requires 2 men. The farmer has 240 men available and he
must plant at...(Solved)
Each acre of potatoes required 9 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 Kshs 1000 per acre and on cabbages is Kshs 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.
c) Use your graph to determine the number of acres for each crop which will give maximum profit and hence find the
maximum profit.
Date posted: May 9, 2019. Answers (1)