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- 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.
a)Given...(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.
a)Given that P = 20 when Q = 5 and R = 9. Find P when Q = 7 and R = 25
b)If Q increased by 20% and R decreased by 36%, find the percentage change in P
Date posted: October 30, 2019. Answers (1)
- a)Two blends of tea costing Ksh. 140 and Ksh.160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at...(Solved)
a)Two blends of tea costing Ksh. 140 and Ksh.160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at sh.240 per kg.
i)Find the percentage profit
ii)In what ratio should the two blends be mixed to get a mixture that costs sh.148 per kg
b)A quantity P is partly constant and partly varies as the cube of Q. when Q = 2, P = 50 and when Q =4, P =330. Find the value of Q when P= 16885
Date posted: October 30, 2019. Answers (1)
- Complete the table below for the curves y =3cos2x and y = 2sin(2x + 30)0
(Solved)
Complete the table below for the curves y =3cos2x and y = 2sin(2x + 30)0
Date posted: October 30, 2019. Answers (1)
- An aircraft leaves town P(300S,140W) and moves directly east to town Q at a speed of 270 knots for 12 hours. Determine;
a)The distance moved in...(Solved)
An aircraft leaves town P(300S,140W) and moves directly east to town Q at a speed of 270 knots for 12 hours. Determine;
a)The distance moved in nautical miles
b)The distance moved in km (take 1nm = 1.853km)
c)The position of town Q
d)The local time at Q if the local time at P is 9.13pm. Give the answer to the nearest minute.
Date posted: October 30, 2019. Answers (1)
- The table below shows the ages in years of 60 candidates who vied on a political party for parliamentary elections in a certain country as...(Solved)
The table below shows the ages in years of 60 candidates who vied on a political party for parliamentary elections in a certain country as recorded in a computer program.
Calculate;
a)The mean
b)The interquartile range of the data
c)The percentage of candidates whose ages were 54.5 years and below
d)The variance and standard deviation of the distribution using 44.5 as the working mean.
Date posted: October 30, 2019. Answers (1)
- The major arc of a circle subtends on an angle of 2400 at the centre of circle. Given that the, length of the arc is...(Solved)
The major arc of a circle subtends on an angle of 2400 at the centre of circle. Given that the, length of the arc is 88cm calculate the diameter of the circle.
Date posted: October 30, 2019. Answers (1)
- Find the radius and centre of a circle whose equation is
2x2 + 2y2 - 16x + 8y +8 =0 (Solved)
Find the radius and centre of a circle whose equation is
2x2 + 2y2 - 16x + 8y +8 =0
Date posted: October 30, 2019. Answers (1)
- Identify the stationery points of the curve y = x3 – 6x2 + 9x – 4 and state their nature.(Solved)
Identify the stationery points of the curve y = x3 – 6x2 + 9x – 4 and state their nature.
Date posted: October 30, 2019. Answers (1)
- Given the equation
Express t in terms of m(Solved)
Given the equation 
Express t in terms of m
Date posted: October 30, 2019. Answers (1)
- Three athletes, James David and Geoffrey are in a race. James is twice as likely to win as David while David is thrice as likely...(Solved)
Three athletes, James David and Geoffrey are in a race. James is twice as likely to win as David while David is thrice as likely to win as Geoffrey. Find the probability that.
a)Geoffrey wins the race
b)James does not win the race.
Date posted: October 30, 2019. Answers (1)
- Solve for theta in the domain 00<=theta<= 36002cos2theta = -0.7071(Solved)
Solve for theta in the domain 00=theta= 3600
2cos2theta = -0.7071
Date posted: October 30, 2019. Answers (1)
- The velocity (V) of a roller-scatter on a straight road is given by V= 3t2 + 5t – 8 m/s where t is time in...(Solved)
The velocity (V) of a roller-scatter on a straight road is given by V= 3t2 + 5t – 8 m/s where t is time in seconds. Find his acceleration at time t=2 second.
Date posted: October 30, 2019. Answers (1)
- A triangle ABC whose area is 4cm2 is mapped onto triangle A1B1C1 whose area is 64cm2 under a transformation matrix
a)Calculate the possible values of...(Solved)
A triangle ABC whose area is 4cm2 is mapped onto triangle A1B1C1 whose area is 64cm2 under a transformation matrix 
a)Calculate the possible values of n
b)Find the image of A(3,4) under the above matrix transformation where n<0
Date posted: October 30, 2019. Answers (1)
- A man deposits Sh. 500,000 in an investment which pays 12% per annum interest compounded quarterly. Find how many years it takes for the money...(Solved)
A man deposits Sh. 500,000 in an investment which pays 12% per annum interest compounded quarterly. Find how many years it takes for the money to double.
Date posted: October 30, 2019. Answers (1)
- Find the quartile deviation of the following data. 8,10,2,7,5,9,6,12,4,6,3,7(Solved)
Find the quartile deviation of the following data. 8,10,2,7,5,9,6,12,4,6,3,7
Date posted: October 30, 2019. Answers (1)
- Use logarithm tables to evaluate the following to four significant figures. (Solved)
Use logarithm tables to evaluate the following to four significant figures.
Date posted: October 30, 2019. Answers (1)
- The diagram represents a solid hemispherical dome of diameter 42cm. The dome is painted on all faces at a cost of sh.500 per square meter...(Solved)
The diagram represents a solid hemispherical dome of diameter 42cm. The dome is painted on all faces at a cost of sh.500 per square meter and has a mass of 48.5kg.
Calculate:
a)The total surface area of the dome.
b)The cost of painting the dome.
c)The volume of the material making the dome.
d)The density of the material in kg/m3 to 2 significant figures.
Date posted: October 30, 2019. Answers (1)
- The diagram below is a circle with centre O. PQ is a tangent to the circle at Q and PTOR is a straight line. QRST...(Solved)
The diagram below is a circle with centre O. PQ is a tangent to the circle at Q and PTOR is a straight line. QRST is a cyclic quadrilateral in which angle RTS = 350 and RT and QS are diameters. Giving reasons for your answer, find the size of:
a)Acute angle ROS.
b)Angle RQS.
c)Angle PQR.
d)Angle QPT.
e)Angle PQT.
Date posted: October 29, 2019. Answers (1)
- The table below shows a field book with measurements of a rice field. (AG = 250m)
a)Make a sketch drawing of the rice field.
b)Find the...(Solved)
The table below shows a field book with measurements of a rice field. (AG = 250m)
a)Make a sketch drawing of the rice field.
b)Find the area of the rice field in hectares.
Date posted: October 29, 2019. Answers (1)
- a) Draw the graph of 2x2 + 3x – 6 for the values of x from -3 to 3.
b) Use the graph to solve...(Solved)
a) Draw the graph of 2x2 + 3x – 6 for the values of x from -3 to 3.
b) Use the graph to solve the equation:
i) 2x2 + 3x – 6 = 0
ii) 2x2 + 3x – 3 = 0
c)Solve the equation 2x + x – 7 = 0 using the graph.
Date posted: October 29, 2019. Answers (1)