- The displacement, s metres of a moving particle from a point O, after t seconds is given by,
s= t3-5t2+3t +10.
(a) Find s when t= 2...(Solved)
The displacement, s metres of a moving particle from a point O, after t seconds is given by,
s= t3-5t2+3t +10.
(a) Find s when t= 2
(b) Determine:
(i) the velocity of the particle when t= 5 seconds;
(ii) the value of t when the particle is momentarily at rest
(c) Find the time, when the velocity of the particle is maximum.
Date posted: November 11, 2019. Answers (1)
- Points A,B,C and D are situated on a horizontal plane such that B is 200m on a bearing of 065° from
A.C is 300m on a...(Solved)
Points A,B,C and D are situated on a horizontal plane such that B is 200m on a bearing of 065° from
A.C is 300m on a bearing of 120° from B and D is 150m due west of C. Using 1cm to rep 50m,
(a) Draw an accurate scale drawing representing positions ABC and D.
(b) From your drawing, Measure the distance and bearing of
(i) D from A.
(ii) B from D
(c) By construction, show the shortest distance from B to line AD.
Date posted: November 11, 2019. Answers (1)
- The figure below shows a sector of a circle. If the radius OA = 14cm and the angle AOB =720.
(a) Calculate the area of the...(Solved)
The figure below shows a sector of a circle. If the radius OA = 14cm and the angle AOB =720.
(a) Calculate the area of the sector.
(b) The sector is folded to form a cone. Calculate:-
(i) The radius of the cone formed.
(ii) The volume of the solid formed.
(c) A solid cone of same size in (b) above is melted down and casted into circular washers. Each washer
has an external diameter of 4cm, internal diameter of 1½ cm and 0.3cm thick. Calculate number of washers made.
Date posted: November 11, 2019. Answers (1)
- The table below shows the marks scored by form four students in a mathematical test.
(a) State the modal class.
(b) Calculate the mean mark.
(c) Calculate...(Solved)
The table below shows the marks scored by form four students in a mathematical test.
(a) State the modal class.
(b) Calculate the mean mark.
(c) Calculate the 70th mark.
(d) Draw a histogram to represent this information.
Date posted: November 11, 2019. Answers (1)
- A group of choir members decided to raise 3600/= to buy a guitar. Each member was to contribute equal amount. In the preparation process five...(Solved)
A group of choir members decided to raise 3600/= to buy a guitar. Each member was to contribute equal amount. In the preparation process five members transferred to another church, that meant the remaining contributors had to pay more to achieve the target.
(a) Show that the increase in the contribution per member was:
Sh. 18,000/n(n-5) if n is the initial number of members.
(b) If the increase in the contribution per member was sh. 24, what was the original contribution before
the other members left?
(c) Calculate the percentage increase in the contribution before the others left.
Date posted: November 11, 2019. Answers (1)
- The sum of interior angles of a regular polygon is 24 times the size of the exterior angle.
(a) Find the number of sides in the...(Solved)
The sum of interior angles of a regular polygon is 24 times the size of the exterior angle.
(a) Find the number of sides in the polygon.
(b) Name the polygon.
Date posted: November 11, 2019. Answers (1)
- A tourist arrived from USA and changed his US $1500 TO Ksh. He spent Ksh. 3000 per night in a hotel for 20 nights and...(Solved)
A tourist arrived from USA and changed his US $1500 TO Ksh. He spent Ksh. 3000 per night in a hotel for 20 nights and a further Ksh. 9000 daily for the entire period. He left for South Africa having changed the balance to South African Rand.
Calculate the amount of South African Rands he was left with, if the bank buys and sells currencies
using the table below.
Date posted: November 11, 2019. Answers (1)
- Given that PQ = , determine: OP and find the magnitude of OP giving your answer in surd form.(Solved)
Given that PQ = 
, determine: OP and find the magnitude of OP giving your answer in surd form.
Date posted: November 11, 2019. Answers (1)
- Simplify the following expression without using tables or calculator:
(Solved)
Simplify the following expression without using tables or calculator:
Date posted: November 11, 2019. Answers (1)
- The travel timetable below shows the departure and arrival time for a bus plying between two towns M and R, 300 kilometres apart.
Calculate the average...(Solved)
The travel timetable below shows the departure and arrival time for a bus plying between two towns M and R, 300 kilometres apart.
Calculate the average speed for the whole journey.
Date posted: November 11, 2019. Answers (1)
- Solve the simultaneous inequality given below and represent the solutions on a number line.
2x + 3 = x – 4 > 3 (x – 2)(Solved)
Solve the simultaneous inequality given below and represent the solutions on a number line.
2x + 3 ≥ x – 4 > 3 (x – 2)
Date posted: November 11, 2019. Answers (1)
- Evaluate, giving your answer to 1s.f figure:(Solved)
Evaluate, giving your answer to 1s.f figure:
Date posted: November 11, 2019. Answers (1)
- A pool of water with surface area of 0.8ha has a uniform depth of 4m. A pipe drains the pool at the rate of 400...(Solved)
A pool of water with surface area of 0.8ha has a uniform depth of 4m. A pipe drains the pool at the rate of 400 litres per second. How many hours does it take to empty the pool?
Date posted: November 11, 2019. Answers (1)
- Simplify the expression:(Solved)
Simplify the expression:
Date posted: November 11, 2019. Answers (1)
- The figure below is a regular hexagon. O is the centre and M is the mid point of AB.
Find angle:
(i) EFD
(ii) MNF(Solved)
The figure below is a regular hexagon. O is the centre and M is the mid point of AB.
Find angle:
(i) EFD
(ii) MNF
Date posted: November 11, 2019. Answers (1)
- A rhombus A B C D with its side 15cm and diagonal AC = 24cm. Find the other diagonal BD(Solved)
A rhombus A B C D with its side 15cm and diagonal AC = 24cm. Find the other diagonal BD
Date posted: November 11, 2019. Answers (1)
- Use the tables of reciprocals to evaluate to 3d.p(Solved)
Use the tables of reciprocals to evaluate to 3d.p
Date posted: November 11, 2019. Answers (1)
- Evaluate:(Solved)
Evaluate:
Date posted: November 11, 2019. Answers (1)
- Radon Company has two types of machines A and B for juice production. Type A machine can produce 800 litres per day while type B...(Solved)
Radon Company has two types of machines A and B for juice production. Type A machine can produce 800 litres per day while type B machine can produce 1 600 litres per day. Type A machine needs four operators and type B need seven operators. At least 8 000 litres must be produced daily and the total number of operators should not exceed 41. There should be two or more machine of
each type.
Let 𝑥 be the number of machines of type A and 𝑦 for type B.
a) Form all inequalities in 𝑥 and 𝑦 to represent the above information.
b) In the grid provided below, draw the inequalities and shade the unwanted region.
Date posted: November 11, 2019. Answers (1)
- Income rates for income earned were charged as follows.
A civil servant earns a monthly salary of ksh.19, 200. His house allowance is ksh.12, 000 per...(Solved)
Income rates for income earned were charged as follows.
A civil servant earns a monthly salary of ksh.19, 200. His house allowance is ksh.12, 000 per month.
Other allowances per month are transport ksh.13, 000 and medical allowance ksh.2, 300. He is
entitled to a family relief of ksh.1, 240 per month. Determine
(a) (i) His taxable income per month
(ii) Net tax
(b) In addition, the following deductions were made.
NHIF sh.230
Service charge ksh.100
Loan repayment ksh.4, 000
Cooperative shares of ksh.1, 200
Calculate his net salary per month
Date posted: November 11, 2019. Answers (1)