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- An airplane leaves point A (600S, 100W) and travels due East for a distance of 960 nautical miles to point B. determine the position of...(Solved)
An airplane leaves point A (600S, 100W) and travels due East for a distance of 960 nautical miles to point B. determine the position of B and the time difference between points A and B.
Date posted: May 8, 2019. Answers (1)
- Find the area of a segment of a circle whose arc subtends an angle of 22.50 on the circumference of a circle, radius
10cm.(Solved)
Find the area of a segment of a circle whose arc subtends an angle of 22.50 on the circumference of a circle, radius
10cm.
Date posted: May 8, 2019. Answers (1)
- In a regular polygon, the exterior angle is 1/3 of its supplement. Find the number of sides of this polygon.(Solved)
In a regular polygon, the exterior angle is 1/3 of its supplement. Find the number of sides of this polygon.
Date posted: May 8, 2019. Answers (1)
- A salesman earns 3% commission for selling a chair and 4% commission for selling a table. A chair fetches K£ 75. One
time, he sold ten...(Solved)
A salesman earns 3% commission for selling a chair and 4% commission for selling a table. A chair fetches K£ 75. One
time, he sold ten more chairs than tables and earned seven thousand, two hundred Kenya shillings as commission.
Find the number of tables and chairs sold.
Date posted: May 8, 2019. Answers (1)
- A square based brass plate is 2mm high and has a mass of 1.05kg. The density of the brass is 8.4 g/cm3. Calculate the
length of...(Solved)
A square based brass plate is 2mm high and has a mass of 1.05kg. The density of the brass is 8.4 g/cm3. Calculate the
length of the plate in centimeter.
Date posted: May 8, 2019. Answers (1)
- A type of paper is 40cm long, 32 cm wide and 0.8 mm thick. The paper costs sh 10 per m2. Find the total cost...(Solved)
A type of paper is 40cm long, 32 cm wide and 0.8 mm thick. The paper costs sh 10 per m2. Find the total cost of a pile
of such paper of height 4.8m.
Date posted: May 8, 2019. Answers (1)
- Mr. Kamau son and daughter needed clothes. The son clothes were costing Ksh 324 while the daughter clothes were costing Ksh 220. Mr Kamau wanted...(Solved)
Mr. Kamau son and daughter needed clothes. The son clothes were costing Ksh 324 while the daughter clothes were costing Ksh 220. Mr Kamau wanted to give them equal amounts of money. Calculate the least amount of money he would spend on the two and how many clothes each will buy.
Date posted: May 8, 2019. Answers (1)
- The velocity, Vm/s of a moving particle after t seconds is given by V = 2t3 + t3 – 1. Find the exact distance covered...(Solved)
The velocity, Vm/s of a moving particle after t seconds is given by V = 2t3 + t3 – 1. Find the exact distance covered by the particle in the interval 1 ≤ t ≤ 3.
Date posted: May 8, 2019. Answers (1)
- The gradient function of a curve is given by dy/dx= 2x2 – 5 Find the equation of the curve, given that y = 3 and...(Solved)
The gradient function of a curve is given by dy/dx= 2x2 – 5
Find the equation of the curve, given that y = 3 and x = 2
Date posted: May 8, 2019. Answers (1)
- A bag contains 7 red balls and 5 green balls. A ball is drawn at random three times.(Solved)
A bag contains 7 red balls and 5 green balls. A ball is drawn at random three times.
(a) Calculate the probability of drawing three red balls if:
(i) the ball is replaced after each draw.
(ii) the ball is not replaced after each draw
(b) Calculate the probability of drawing at least two red balls when the ball is not replaced after each draw.
Date posted: May 8, 2019. Answers (1)
- The table below shows month income tax rates for the year 2003(Solved)
The table below shows month income tax rates for the year 2003
The PAYE of Ole Shege in 2003 was Sh. 5079. Ole Shege’s earnings include a basic salary, house allowance of KSh.
120,000, a medical allowance of KSh. 2,880 and commuter allowance of KSH. 340. He was entitled to a monthly tax
relief of KSh. 1056. Calculate:
(i) Ole Shege’s gross tax
(ii) his basic salary
(iii) Ole Shege’s net salary if he deducted the following amount from his payslip:
- NHIF KSh. 320
- Cooperative loan KSh. 2050
Date posted: May 8, 2019. Answers (1)
- For an in-service course in Mathematics, at least four but not more than nine teachers are to be chosen. The ratio of
the number of male...(Solved)
For an in-service course in Mathematics, at least four but not more than nine teachers are to be chosen. The ratio of
the number of male teachers to the number of female must be less than 2:1 and there must be more males than
females.
If x and y represent the number of male teachers and female respectively.
(a) Write down the inequalities which x and y must satisfy.
(b) Plot the inequalities in (a) above in the grid provided.
(c) Use your graph in (b) above to find composition of the in-service group of:-
(i) the largest size
(ii) the smallest size
Date posted: May 8, 2019. Answers (1)
- The figure below shows a shape of a roof with horizontal rectangular ABCD. The ridge EF is also horizontal. The
measurements of the roof are AB...(Solved)
The figure below shows a shape of a roof with horizontal rectangular ABCD. The ridge EF is also horizontal. The
measurements of the roof are AB = 8cm, BC = 5cm, EF = 4.5cm and EA = ED = FB = FC = 3.5cm.
Calculate
(i) the length of the ridge EF above the base ABCD
(ii) the angle between the face AED and the base ABCD
(iii) the angle between the face ABFE and the base ABCD
Date posted: May 8, 2019. Answers (1)
- Two points on the surface of the earth are A (400N, 300W) and B (200S, 300W). Given that the radius of the earth is 6370km,...(Solved)
Two points on the surface of the earth are A (400N, 300W) and B (200S, 300W). Given that the radius of the earth is 6370km, determination the shortest distance between the two points. (Take 𝜋 =22/7)
Date posted: May 8, 2019. Answers (1)
- A circle whose centre is (-2,5) has a diameter of 4 units. Find the equation of the circle in its expanded form.(Solved)
A circle whose centre is (-2,5) has a diameter of 4 units. Find the equation of the circle in its expanded form.
Date posted: May 8, 2019. Answers (1)
- Juma, Peter and Jane shared KSh. 25,000 as follows: Juma and Peter in the ratio 1:2 and that of Peter to Jane in the
ratio 4:1....(Solved)
Juma, Peter and Jane shared KSh. 25,000 as follows: Juma and Peter in the ratio 1:2 and that of Peter to Jane in the
ratio 4:1. How much did Peter get?
Date posted: May 8, 2019. Answers (1)
- Position vector of points A and B are a = i + 3j + 5k and b = ui – j + 2k respectively. Find...(Solved)
Position vector of points A and B are a = i + 3j + 5k and b = ui – j + 2k respectively. Find the position vector of point R
which divides AB in the ratio 4:-3
Date posted: May 8, 2019. Answers (1)
- A pond holds 27000 litres of water. How many litres of water would a similar pond hold if its dimensions were double
the first one?(Solved)
A pond holds 27000 litres of water. How many litres of water would a similar pond hold if its dimensions were double
the first one?
Date posted: May 8, 2019. Answers (1)
- Each month for 30 months, Lemit deposited some money in a saving scheme. In the first month he deposited Sh. 500.
Thereafter he increased his deposits...(Solved)
Each month for 30 months, Lemit deposited some money in a saving scheme. In the first month he deposited Sh. 500.
Thereafter he increased his deposits by Sh. 50 every month. Calculate the:
(a) last amount deposited by Lemit
(b) total amount Lemit had saved in the 30 months
Date posted: May 8, 2019. Answers (1)
- A steel ball has radius of 15.33mm. Calculate the percentage error in its surface area correct to 2 s.f.(Solved)
A steel ball has radius of 15.33mm. Calculate the percentage error in its surface area correct to 2 s.f.
Date posted: May 8, 2019. Answers (1)