- The figure below represents a solid regular hexagon based pyramid of side 4cm and height 10 cm. It is cut along a
plane 3 cm from...(Solved)
The figure below represents a solid regular hexagon based pyramid of side 4cm and height 10 cm. It is cut along a
plane 3 cm from the vertex. Calculate the volume of the remaining part.
Date posted: May 6, 2019. Answers (1)
- A Kenyan bank buys and sells foreign currencies at the exchange rates shown below.(Solved)
A Kenyan bank buys and sells foreign currencies at the exchange rates shown below.
A tourist arrived in Kenya with 11,155 Euros. He converted all the Euros to Kenya shillings at the bank. He spent ksh.
1,130,200.50 while in Kenya and converted the remaining Kenya shillings into US dollars at the bank. Find the amount
in dollars that he received correct to 2 decimal places.
Date posted: May 6, 2019. Answers (1)
- The line 2y – 4x -5 = 0 meets another line L at appoint where y = 4.5. Find the equation of L in the...(Solved)
The line 2y – 4x -5 = 0 meets another line L at appoint where y = 4.5. Find the equation of L in the form y = mc+c if
the lines are perpendicular to each other.
Date posted: May 6, 2019. Answers (1)
- Without using mathematical tables or a calculator, solve the equation.(Solved)
Without using mathematical tables or a calculator, solve the equation.
Date posted: May 6, 2019. Answers (1)
- Given the information below,find matrix R.(Solved)
Given the information below,find matrix R.
Date posted: May 6, 2019. Answers (1)
- Given that sin ? =12/13,find without using mathematical tables or a calculator tan ( 90 – ?)0(Solved)
Given that sin Ѳ =12/13,find without using mathematical tables or a calculator tan ( 90 – Ѳ)0
Date posted: May 6, 2019. Answers (1)
- Given the vectors a,b and c.(Solved)
Given the vectors a,b and c.
.Find
giving your answer to 4 significant figures.
Date posted: May 6, 2019. Answers (1)
- Using a ruler and a pair of compasses only, draw a line AB = 7cm long. Construct < BAC = 67.50. Use line AC to...(Solved)
Using a ruler and a pair of compasses only, draw a line AB = 7cm long. Construct < BAC = 67.50. Use line AC to divide
AB into 3 equal parts.
Date posted: May 6, 2019. Answers (1)
- A truck left Nairobi at 7a.m for Nakuru at an average speed of 60km/hr. At 8 a.m a bus left Nakuru for Nairobi at an
average...(Solved)
A truck left Nairobi at 7a.m for Nakuru at an average speed of 60km/hr. At 8 a.m a bus left Nakuru for Nairobi at an
average speed of 120km/hr. How far from Nairobi did the vehicles meet if Nairobi is 160 km from Nakuru.
Date posted: May 6, 2019. Answers (1)
- Three bells ring at intervals of 18 minutes, 30 minutes and 42 minutes .the bells will next ring together at 10.00am.
Find the time the bells...(Solved)
Three bells ring at intervals of 18 minutes, 30 minutes and 42 minutes .the bells will next ring together at 10.00am.
Find the time the bells last rang together.
Date posted: May 6, 2019. Answers (1)
- Given that 84y x 27x = 36, find the exact values of x and y.(Solved)
Given that 84y x 27x = 36, find the exact values of x and y.
Date posted: May 6, 2019. Answers (1)
- The area of a rhombus is 120 cm2. Given that one of its diagonals is 24cm, calculate the perimeter of the rhombus.(Solved)
The area of a rhombus is 120 cm2. Given that one of its diagonals is 24cm, calculate the perimeter of the rhombus.
Date posted: May 6, 2019. Answers (1)
- Simplify the expression:(Solved)
Simplify the expression:
Date posted: May 6, 2019. Answers (1)
- Use tables of squares, square root and reciprocals to evaluate to 3 decimal places the question below.(Solved)
Use tables of squares, square root and reciprocals to evaluate to 3 decimal places the question below.
Date posted: May 6, 2019. Answers (1)
- Evaluate without using a calculator(Solved)
Evaluate without using a calculator
Date posted: May 6, 2019. Answers (1)
- The figure shows triangle OPQ in which QN : NP = 1 : 2, OT : TN = 3 : 2 and M is the...(Solved)
The figure shows triangle OPQ in which QN : NP = 1 : 2, OT : TN = 3 : 2 and M is the mid - point of OQ.
OP = p and OQ = q
a) Express the following in terms of p and q.
i) PQ
ii) ON
iii) PT
iv) PM
b) Hence show that P, T and M are collinear.
Date posted: May 6, 2019. Answers (1)
- Three pupils Irene, Mary and Atieno applied for a form one vacancy. The probability of Irene, Mary and Margaret
getting the chance in the school are...(Solved)
Three pupils Irene, Mary and Atieno applied for a form one vacancy. The probability of Irene, Mary and Margaret
getting the chance in the school are 0.5, 0.4 and 0.9 respectively. Determine the probability that
a) None gets the chance.
b) Only one gets the chance.
c) At most one of the three gets the chance.
d) At least one of the three gets the chance.
Date posted: May 6, 2019. Answers (1)
- A farmer wishes to keep some chicks and ducks. Chicks cost Ksh. 60 each while ducks costs Kshs. 80 each. She finds its
uneconomical to keep...(Solved)
A farmer wishes to keep some chicks and ducks. Chicks cost Ksh. 60 each while ducks costs Kshs. 80 each. She finds its
uneconomical to keep less than 250 birds. She also wishes to keep more chicks than ducks but the chicks must be less
than 200. She cannot afford to spend more than ksh. 24,000.
a) Taking x and y to be the number of chicks and ducks respectively rite down all the inequalities that satisfy the above
conditions.
b) Represent the inequalities graphically shading out the unwanted region.
c) If the farmer makes a profit of ksh. 200 per chicks and ksh. 250 per duck, find the number of chicks and ducks she must keep in order to maximize her profit. State the profit.
Date posted: May 6, 2019. Answers (1)
- The table below shows income tax rates for a certain year.(Solved)
The table below shows income tax rates for a certain year.
A secondary school teacher was earning a monthly basic salary of Ksh. 55,480 house allowance of Kshs. 12,000 and a
commuter allowance of ksh. 8000. He was entitled to a personal relief of Kshs. 1162 per month.
a) Calculate
i) The teacher’s taxable income.
ii) The teacher’s net monthly tax.
b) In addition to the tax the other deductions were per month as follows:
- Cooperative loan Ksh. 10,000
- Co-operative shares Ksh. 2,000
- Window and children’s pensions scheme at 2% of the basic salary.
Calculate the teacher’s net monthly pay.
Date posted: May 6, 2019. Answers (1)
- The figure below shows the pulleys with centres A and B and radii 13cm and 6cm respectively. The distance between
the centres is 25cm.(Solved)
The figure below shows the pulleys with centres A and B and radii 13cm and 6cm respectively. The distance between
the centres is 25cm.
A belt PRSTUP goes round the two pulleys. PQ and TS are also tangents.
a) Calculate
i) Length PQ
ii) Angle BAP
b) Hence or otherwise calculate the length of the belt.
Date posted: May 6, 2019. Answers (1)