-
Mr Mulei saved Kshs. 2,000 during the first year of employment. In each subsequent year, he saved 15% more than the previous year, until he...
(Solved)
Mr Mulei saved Kshs. 2,000 during the first year of employment. In each subsequent year, he saved 15% more than the previous year, until he retired.
a) How much did he save in the third year?
b)How much did he save in the 4th year?
c) Find the common ratio between the savings in the two consecutive years?
Date posted:
August 23, 2019
.
Answers (1)
-
An investor invested his money in a bank that gives compound interest of 12% p.a compounded quarterly. If he invested Kshs 16800 for 2 years...
(Solved)
An investor invested his money in a bank that gives compound interest of 12% p.a compounded quarterly. If he invested Kshs 16800 for 2 years and then withdraws all the money at the end of the 2 years, how much interest does he get?
Date posted:
August 23, 2019
.
Answers (1)
-
A point R (2, 2) is mapped onto R1 (8, 2) by a shear matrix, x-axis being invariant. Find the shear factor hence or otherwise...
(Solved)
A point R (2, 2) is mapped onto R1 (8, 2) by a shear matrix, x-axis being invariant. Find the shear factor hence or otherwise write down the shear matrix.
Date posted:
August 23, 2019
.
Answers (1)
-
In an examination, one hundred candidates took papers in physics and chemistry.Twenty five candidates failed in physics only. Twenty candidates failed in Chemistry Only. Fifteen...
(Solved)
In an examination, one hundred candidates took papers in physics and chemistry.Twenty five candidates failed in physics only. Twenty candidates failed in Chemistry Only. Fifteen failed in both physics and chemistry.A candidate is selected at random.
Find the probability that:
i) he failed in Chemistry if it is known that he failed in Physics.
ii) he failed in physics if it is known that he failed in chemistry.
iii) he failed either in Physics or in Chemistry but not in both.
Date posted:
August 23, 2019
.
Answers (1)
-
A trader deals in two types of rice; rice A and rice B. Type Arice costs Kshs. 400 per bag and type B costs Kshs....
(Solved)
A trader deals in two types of rice; rice A and rice B. Type Arice costs Kshs. 400 per bag and type B costs Kshs. 350 per bag. The trader mixes 30 bags of type A with 50 bags of type B. If he sells the mixture at a profit of 20%, calculate the selling price of one bag of the mixture.
Date posted:
August 23, 2019
.
Answers (1)
-
Three boys and three girls sit in a row of six seats. Find the probability that: i) the 3 girls sit together .ii) the girls and the...
(Solved)
Three boys and three girls sit in a row of six seats. Find the probability that:
i) the 3 girls sit together.
ii) the girls and the boys sit in alternate seats.
Date posted:
August 23, 2019
.
Answers (1)
-
Given the quadratic function y = 3x2 + 4x - 1
(Solved)
Given the quadratic function y = 3x2 + 4x - 1
a) Complete the table below for values of x ranging - 4 < x < 3.

b) Using the grid provided draw the graph of y = 3x2 + 4x – 2 for -4 < x < 3
c) Using the graph, find the solution to the equations.
i) 3x2 + 4x – 2 = 0
ii) 3x2 + 7x + 2 = 0
Date posted:
August 23, 2019
.
Answers (1)
-
Without using a set square or a protractor construct: a) Triangle ABC such that AB = 8cm, BC = 6cm and
(Solved)
Without using a set square or a protractor construct:
a) Triangle ABC such that AB = 8cm, BC = 6cm and angle ABC= 300
b) Measure the length AC
c) Draw a circle that touches sides AB, BC and AC
d) Measure the radius of the circle.
e) Hence or otherwise calculate the area in the triangle but not in the circle.
Date posted:
August 23, 2019
.
Answers (1)
-
In the figure below, AC is an arc of a circle centre D. Angle ADC = 600, AD = DC = 7cmand CB = 5cm.
(Solved)
In the figure below, AC is an arc of a circle centre D. Angle ADC = 600, AD = DC = 7cm and
CB = 5cm.

Calculate:
a) The area of triangle ADB
b) The area of the shaded region.
Date posted:
August 23, 2019
.
Answers (1)
-
By striding 60cm or by striding 64cm, John takes an exact number of steps to crossa road. Find the least width of the road in...
(Solved)
By striding 60cm or by striding 64cm, John takes an exact number of steps to cross a road. Find the least width of the road in metres.
Date posted:
August 23, 2019
.
Answers (1)
-
In the circle O is the centre, angle DAB = 870. Arc AB is twice arc AD. Calculate Angle AOB.
(Solved)
In the circle O is the centre, angle DAB = 870. Arc AB is twice arc AD. Calculate Angle AOB.

Date posted:
August 22, 2019
.
Answers (1)
-
Given that a = 1.2, b = 0.02 and c = 0.2, express ac + b
(Solved)
Given that a = 1.2, b = 0.02 and c = 0.2, express ac + b in the form
where m and n are integers.
Date posted:
August 22, 2019
.
Answers (1)
-
Onchwati deposited Ksh.50,000 in a financial institution in which interest is compounded Quarterly.
(Solved)
Onchwati deposited Ksh.50,000 in a financial institution in which interest is compounded Quarterly. If at the end of the second year he received a total of Ksh.79,692.40. Calculate the rate of interest per annum.
Date posted:
August 22, 2019
.
Answers (1)
-
State two layers of atmosphere which experience Negative Lapse Rate.
(Solved)
State two layers of atmosphere which experience Negative Lapse Rate.
Date posted:
August 22, 2019
.
Answers (1)
-
A test tube is made up of hemispherical bottom and a cylindrical stem. Both of internal radius 0.7cm. Calculate the capacity of the test tube...
(Solved)
A test tube is made up of hemispherical bottom and a cylindrical stem. Both of internal radius 0.7cm. Calculate the capacity of the test tube given that its height is 12cm
Date posted:
August 22, 2019
.
Answers (1)
-
Given the points P(-6,-3) Q(-2,-1) and R(6,3) Express PQ and QR as column Vectors. Hence show that the points P,Q and R are collinear.
(Solved)
Given the points P(−6,−3) Q(−2,−1) and R(6,3) Express PQ and QR as column Vectors. Hence show that the points P,Q and R are collinear.
Date posted:
August 22, 2019
.
Answers (1)
-
Two aeroplanes P and Q, leave an airport at the same time. P flies on a bearing of 2400 at 900km/h while Q flies due...
(Solved)
Two aeroplanes P and Q, leave an airport at the same time. P flies on a bearing of 2400 at 900km/h while Q flies due east at 750 km/h.
a) Using a scale of 1 cm to represent 100 km, make a scale drawing to show the positions of the aeroplanes after 40 minutes.
b) Use the scale drawing to find the distance between the two areoplanes after 40 minutes.
c) Determine the bearings of;
i. P from Q
ii. Q from P
Date posted:
August 22, 2019
.
Answers (1)
-
An investment group decided to raise Shs. 960 000 to buy a piece of land costing Kshs. 80 000 per hectare. Before they paid, four...
(Solved)
An investment group decided to raise Shs. 960 000 to buy a piece of land costing Kshs. 80 000 per hectare. Before they paid, four of them pulled out and those that remained were supposed to pay an additional Kshs. 40 000.
a. If the initial number of members was 𝑥, write down;
i. An expression of what each was to contribute originally.
ii. An expression of what each of remaining members contributed.
b. Calculate the number of members who were initially in the group using the expression in (a) above.
c. If the land was sub divided equally, calculate what size each member got.
Date posted:
August 22, 2019
.
Answers (1)
-
Two towns P and Q are 550 km apart. A bus starts from town Q and travels towards P at 8:45 a.m. at an average...
(Solved)
Two towns P and Q are 550 km apart. A bus starts from town Q and travels towards P at 8:45 a.m. at an average speed of 80 km/hr. A car starts from P towards Q at 10:00 a.m. at an average speed of 100 km/hr. Calculate:
a. The distance covered by the bus before the car starts its journey.
b. How far from Q the vehicles met.
c. The time the two vehicles met.
d. The time the car arrived at town Q.
Date posted:
August 22, 2019
.
Answers (1)
-
A factory blends three types of juice in the ratios A:B = 3:4 and B:C = 1:2
(Solved)
A factory blends three types of juice in the ratios A:B = 3:4 and B:C = 1:2
a) Determine;
i. The ratio A:B:C
ii. The amount of type A juice in a 20 litre mixture.
b) The cost of producing one litre of A is Ksh. 80, one litre of B is Ksh. 84 and one litre of C is Ksh. 90.
i. Find the cost of producing one litre of the mixture.
ii. Calculate the selling price of one litre of the mixture if the factory makes a profit of 25%.
c) The factory uses types of machines P and Q to blend the juices. Machine P takes 7 hours to blend
14 000 litres and Q takes 5 hours to blend 12 000 litres. Determine the time it would take the factory to blend 550 000 litres.
Date posted:
August 22, 2019
.
Answers (1)