-
The diagram below represents a bucket that has been placed upside down. The radius of the top surface is 15cm and that of the bottom...
(Solved)
The diagram below represents a bucket that has been placed upside down. The radius of the top surface is 15cm and that of the bottom is 40cm. The vertical height of the bucket is 50cm.
Determine:-
(a) The volume of the bucket.
(b) The curved surface area of the bucket. (leave your answers in terms of π)
Date posted:
March 29, 2019
.
Answers (1)
-
Find the co-ordinates of the turning point on the curve of y = x3 – 3x2 and distinguish between them.
(Solved)
Find the co-ordinates of the turning point on the curve of y = x3 – 3x2 and distinguish between them.
Date posted:
March 29, 2019
.
Answers (1)
-
Two towns T and S are 300km apart. Two buses A and B started from T at the same time travelling towards S. Bus B...
(Solved)
Two towns T and S are 300km apart. Two buses A and B started from T at the same time travelling towards S. Bus B travelled at an average speed of 10km/hr greater than that of A and reached S 1 ¼ hrs earlier.
(a) Find the average speed of A.
(b) How far was A from T when B reached S.
Date posted:
March 29, 2019
.
Answers (1)
-
The marks obtained by Form 4 students in Examination were as follows:
Using 74.5 as the Assumed mean, calculate:
(i) The mean mark
(ii) The standard deviation
(Solved)
The marks obtained by Form 4 students in Examination were as follows:
Using 74.5 as the Assumed mean, calculate:
(i) The mean mark
(ii) The standard deviation
Date posted:
March 29, 2019
.
Answers (1)
-
The depth of the water in a rectangular swimming pool increases uniformly from 1M at the shallow
end to 3.5m at the deep end. The pool...
(Solved)
The depth of the water in a rectangular swimming pool increases uniformly from 1M at the shallow
end to 3.5m at the deep end. The pool is 25m long and 12m wide. Calculate the volume of the pool
in cubic meters.
The pool is emptied by a cylindrical pipe of internal radius 9cm. The water flows through the pipe at speed of 3 metres per second. Calculate the number of litres emptied from the pool in two minutes to the nearest 10 litres. (Take π = 3.142)
Date posted:
March 29, 2019
.
Answers (1)
-
A racing cyclist completes the uphill section of a mountain course of 75 km at an average speed of v km/hr. He then returns downhill...
(Solved)
A racing cyclist completes the uphill section of a mountain course of 75 km at an average speed of v km/hr. He then returns downhill along the same route at an average speed of (v + 20) km/hr. Given that the difference between the times is one hour, form and solve an equation in v.
Hence
a. Find the times taken to complete the uphill and downhill sections of the course.
b. Calculate the cyclists average speed over the 150km.
Date posted:
March 29, 2019
.
Answers (1)
-
A glass of juice of 200 ml content is such that the ratio of undiluted juice to water is 1: 7 Find how many diluted...
(Solved)
A glass of juice of 200 ml content is such that the ratio of undiluted juice to water is 1: 7 Find how many diluted glasses can be made from a container with 3 litres undiluted juice
Date posted:
March 27, 2019
.
Answers (1)
-
The cost of 3 plates and 4 cups is Shs. 380. 4 plates and 5 cups cost Shs. 110 more than this. Find the cost...
(Solved)
The cost of 3 plates and 4 cups is Shs. 380. 4 plates and 5 cups cost Shs. 110 more than this. Find the cost of each item.
Date posted:
March 27, 2019
.
Answers (1)
-
The second,fourth and seventh terms of an arithmetic progression (A.P)are the first three.Consecutive terms of a geometric progression (G.P).If the common difference of the A.P...
(Solved)
The second,fourth and seventh terms of an arithmetic progression (A.P) are the first three consecutive terms of a geometric progression (G.P).If the common difference of A.P is 2,find:
(a)The common ratio of the G.P.
(b)The last term of the A.P given that there are eighteen terms.
(c)The sum of the first 14 terms of the G.P.
Date posted:
February 28, 2019
.
Answers (1)
-
Tickets for a football match cost 100 shillings and 50 shillings and tickets to the value of Kenya pounds 100,000 were sold.If 30% more...
(Solved)
Tickets for a football match cost 100 shillings and 50 shillings and tickets to the value of Kenya pounds 100,000 were sold. If 30% more sh. 50 tickets and 40% fewer sh.100 tickets had been sold, the income would have increased to Kenya pounds 112,500.How many tickets of each category were sold?
Date posted:
February 28, 2019
.
Answers (1)
-
Two towns P and Q are 580km apart.A bus left P at 6.10a.m.and maintains an average speed of 90km/hr between P and Q.A car starts...
(Solved)
Two towns P and Q are 580km/hr apart.A bus left town P at 6.10a.m. and maintains an average speed of 90km/hr between P and Q. A car starts from Q at 8.00a.m. and travelled towards P at an average speed of 120km/hr.The car stopped for a total of 30 minutes on the way before meeting the bus.
(a)(i)How far from town P did they meet?
(ii)At what time did they meet?
(b)A rally driver starts from town Q towards town P at 9.30a.m.If he averages 180km/hr,calculate;
(i)The distance from Q when the rally driver overtook the car.
(ii)The time when the rally driver overtook the car.
Date posted:
February 25, 2019
.
Answers (1)
-
The cash price of a bed is shs.6500.A man buys it on hire purchase by making a down payment of shs.2300 followed by 12 months...
(Solved)
The cash price of a bed is shs.6500.A man buys it on hire purchase by making a down payment of shs. 2300 followed by 12 months installments of shs.490.Calculate the rate of carrying charge per month.
Date posted:
February 25, 2019
.
Answers (1)
-
Janet and Martha both drive a distance of 96Km but Martha average speed is 16km/hr slower than Janet's and consequently she takes 30 minutes longer...
(Solved)
Janet and Martha both drive a distance of 96km but Martha average speed is 16km/hr slower than Janet's and consequently she takes 30 minutes longer to complete the journey. Calculate Janet's average speed.
Date posted:
February 25, 2019
.
Answers (1)
-
A two digit number is four times the sum of its digits.If the digits are interchanged the number formed is more than the original number...
(Solved)
A two digit number is four times the sum of its digits.If the digits are interchanged the number formed is more than the original number by twenty seven.Find the number.
Date posted:
February 20, 2019
.
Answers (1)
-
The average lap time for 3 athletes in a long distance race is 36 seconds, 40 seconds and 48 seconds respectively.
(Solved)
The average lap time for 3 athletes in a long distance race is 36 seconds, 40 seconds and 48 seconds respectively.
If they all start the race at same time, find the number of times the lowest runner will have been over lapped by the fastest at the time all cross the starting point together again.
Date posted:
February 2, 2019
.
Answers (1)
-
Line L1 passes through the points A (1,2) and B (3, -4). Find the equation of L2 passing through the mid-point of AB and perpendicular to L1, leaving your answer in the form ax+by+c=0
(Solved)
Line L1 passes through the points A (1,2) and B (3, -4). Find the equation of L2 passing through the mid-point of AB and perpendicular to L1, leaving your answer in the form ax+by+c=0
Date posted:
February 2, 2019
.
Answers (1)
-
Explain the difference between cardinal numbers and ordinal numbers
(Solved)
Explain the difference between cardinal numbers and ordinal numbers.
Date posted:
December 8, 2018
.
Answers (1)
-
What is the area of a square whose diagonal is 10 cm?
(Solved)
What is the area of a square whose diagonal is 10 cm?
Date posted:
November 23, 2018
.
Answers (1)
-
If £100 is invested at compound interest of 8% per annum,determine (a). The value after 10 years (b) The time correct to the nearest year it takes to reach more than £300.
(Solved)
If £100 is invested at compound interest of 8% per annum,determine
(a). The value after 10 years
(b). The time correct to the nearest year it takes to reach more than £300.
Date posted:
October 21, 2018
.
Answers (1)
-
Given the coordinates of A and B as (4,2) and (8,2) respectively, find the equation of the perpendicular bisector of AB
(Solved)
Given the coordinates of A and B as (4,2) and (8,2) respectively, find the equation of the perpendicular bisector of AB.
Date posted:
August 30, 2018
.
Answers (1)