Get premium membership and access questions with answers, video lessons as well as revision papers.
- The sketch below represents the curve y=x2+5 and a straight line PQ which meets the x-axis andy-axis at the points (-4, 0) and (0, 8)...(Solved)
The sketch below represents the curve y=x2+5 and a straight line PQ which meets the x-axis and
y-axis at the points (-4, 0) and (0, 8) respectively. The line intersects the curve at point P and Q as
shown.
a) Find the equation of the line in the form y = mx + c
b) Determine the co-ordinates of P and Q
c) Calculate the area of the shaded region
Date posted: November 2, 2019.
- A quantity A varies jointly as the cube of y and inversely as the square root of x. If A = 7 when
y=2 and x=25,
(a)...(Solved)
A quantity A varies jointly as the cube of y and inversely as the square root of x. If A = 7 when
y=2 and x=25,
(a) Write an equation convecting A, x and y
(b) Find the value of y to three significant figures, when A=12 and x=36
(c) Find the percentage change in A when y is decreased by 11% and x is increased by 21%.
Date posted: November 2, 2019.
- The first three terms of a G.P. are the first, fourth and tenth terms of an A.P. Given that the first
term is 6 and that...(Solved)
The first three terms of a G.P. are the first, fourth and tenth terms of an A.P. Given that the first
term is 6 and that all the terms of the G.P. are different, find the common ratio.
Date posted: November 2, 2019.
- Determine the quartile deviation from the data below.
42, 1, 12, 6, 14, 20, 24(Solved)
Determine the quartile deviation from the data below.
42, 1, 12, 6, 14, 20, 24
Date posted: November 2, 2019.
- In the figure below SR is a tangent to the circle, PQR is a straight line and PQ: QR = 1:1.
Find PR and QR given...(Solved)
In the figure below SR is a tangent to the circle, PQR is a straight line and PQ: QR = 1:1.
Find PR and QR given that SR = 8√2 cm
Date posted: November 2, 2019.
- Given that find
(a) A + B
(b) AB-1(Solved)
Given that find
(a) A + B
(b) AB-1
Date posted: November 2, 2019.
- Solve for x given logx3 + log3X = 2.(Solved)
Solve for x given logx3 + log3X = 2.
Date posted: November 2, 2019.
- Two grades of coffee A and B are costing sh 80 per kg and 180 per kg respectively are to be mixed
in order to produce...(Solved)
Two grades of coffee A and B are costing sh 80 per kg and 180 per kg respectively are to be mixed
in order to produce a blend worth sh 120 per kg. In what ratio should they be mixed?
Date posted: November 2, 2019.
- y varies partly as the square root of x and partly varies inversely as the cube of x.
When y=2, x=4 and when y=3, x=1. Express...(Solved)
y varies partly as the square root of x and partly varies inversely as the cube of x.
When y=2, x=4 and when y=3, x=1. Express y in terms of x.
Date posted: November 2, 2019.
- A point T divides line AB externally in the ratio 8:2. Given that the position vectors of A and B are 3i - 4l +...(Solved)
A point T divides line AB externally in the ratio 8:2. Given that the position vectors of A and B are 3i - 4l + k and -1 +j -3k respectively. Find the position vector of T in unit vector form.
Date posted: November 2, 2019.
- Solve for x given that 2 sin x = tax x for 00 = x = 3600(Solved)
Solve for x given that 2 sin x = tax x for 00 ≤ x ≤ 3600
Date posted: November 2, 2019.
- A businessman deposited Ksh 120000 in a bank account which was to earn him interest at the rate
of 12% p.a. compounded quarterly. Calculate his total...(Solved)
A businessman deposited Ksh 120000 in a bank account which was to earn him interest at the rate
of 12% p.a. compounded quarterly. Calculate his total amount after two years to the nearest Kenya
shillings
Date posted: November 2, 2019.
- Given sin find cos (90 - theta) without using mathematical tables or calculators.(Solved)
Given sin find cos (90 - theta) without using mathematical tables or calculators.
Date posted: November 2, 2019.
- Make P the subject of the formula(Solved)
Make P the subject of the formula
Date posted: November 2, 2019.
- A mathematics textbook which is actually 24.3cm long is measured as 24.5cm. Calculate the
percentage error in this measurement giving your answer correct to 3 s.f(Solved)
A mathematics textbook which is actually 24.3cm long is measured as 24.5cm. Calculate the
percentage error in this measurement giving your answer correct to 3 s.f
Date posted: November 2, 2019.
- Solve the equations
x2+2xy = 25 - y2
x = y (Solved)
Solve the equations
x2+2xy = 25 - y2
x = y
Date posted: November 2, 2019.
- Use logarithms to evaluate
(Solved)
Use logarithms to evaluate
Date posted: November 2, 2019.
- The figure below shows a transverse pulley systems.
The wheels have radius 15cm and 10cm respectively. If O1X=30cm and XO2 =20cm
Calculate:
(a) AO1C
(b) DO2F
(c) Length AD...(Solved)
The figure below shows a transverse pulley systems.
The wheels have radius 15cm and 10cm respectively. If O1X=30cm and XO2 =20cm
Calculate:
(a) AO1C
(b) DO2F
(c) Length AD to 4 decimal places
(d) Length BE
(e) Length of arc ABC and BEF.
(f) The length of the belt
Date posted: November 2, 2019.
- A bus left town A at 5:20am to town B 610km away at an average speed of 60km/hr. After 3 hrs 10 minutes, a van...(Solved)
A bus left town A at 5:20am to town B 610km away at an average speed of 60km/hr. After 3 hrs 10 minutes, a van left town B and travelled towards A at an average speed of 80km/hr.
(a) (i) At what time did they meet
(ii) How far from A was the meeting point
b) A car left town B at 9:00am and travelled towards A at an average speed of 100km/hr.
Determine
(i) The time the car caught up with the van
(ii) The distance the car travelled to catch up with the van.
Date posted: November 2, 2019.
- A triangle has vertices P(1,2) Q(3,5) and R(5,3)
a) Draw triangle PQR and its image P1Q1R1 under a translation vector
b) Draw triangle PII QII RII ,...(Solved)
A triangle has vertices P(1,2) Q(3,5) and R(5,3)
a) Draw triangle PQR and its image P1Q1R1 under a translation vector
b) Draw triangle PII QII RII , the image of triangle PI QI RI under a rotation of half turn about the origin
c) Triangle PIII QIII RIII is the image of triangle PII QII RII under reflection in the line y=x.
Draw triangle PIII QIII RIII and state its co-ordinates.
d) Triangle PIII QIII RIII is reflected in the line x=0. State the co-ordinates of its image
Date posted: November 2, 2019.
- A natural polymer is made up of the monomer:(Solved)
A natural polymer is made up of the monomer:
(a) Write the structural formula of the repeat unit of the polymer
(b) When 5.0 x 10-5 moles of the polymer were hydrolysed, 0.515g of the monomer were obtained.
Determine the number of the monomer molecules in this polymer.
(C = 12; H = 1; N = 14; O =16)
Date posted: November 1, 2019.
- Sodium octadecanoate has a chemical formula CH3(CH2)6 COO-Na+, which is used as soap.
Explain why a lot of soap is needed when washing with hard water(Solved)
Sodium octadecanoate has a chemical formula CH3(CH2)6 COO-Na+, which is used as soap.
Explain why a lot of soap is needed when washing with hard water
Date posted: November 1, 2019.
- Write chemical equation to represent the effect of heat on ammonium carbonate(Solved)
Write chemical equation to represent the effect of heat on ammonium carbonate
Date posted: November 1, 2019.
- Explain the environmental effects of burning plastics in air as a disposal method(Solved)
Explain the environmental effects of burning plastics in air as a disposal method
Date posted: November 1, 2019.
- The structure of the monomer phenyl ethene is given below:-(Solved)
The structure of the monomer phenyl ethene is given below:-
a) Give the structure of the polymer formed when four of the monomers are added together
b) Give the name of the polymer formed in (a) above
Date posted: November 1, 2019.
- Find the equation of the normal to the curve y=x2 – 4x + 5 at the point (4,5)(Solved)
Find the equation of the normal to the curve y=x2 – 4x + 5 at the point (4,5)
Date posted: November 1, 2019.
- Owitti bought 2 pencils and 3 rubbers and paid shs 19.50. Tanui bought the same types of pencils and
rubbers as Owitti. Tanui bought 1 pencil...(Solved)
Owitti bought 2 pencils and 3 rubbers and paid shs 19.50. Tanui bought the same types of pencils and
rubbers as Owitti. Tanui bought 1 pencil and 5 rubbers and paid shs 22. Calculate the cost of each
item.
Date posted: November 1, 2019.
- The figure below shows the graph of velocity V m/s against time, t seconds of a bus. If the bus
traveled a distance of 40 metres,...(Solved)
The figure below shows the graph of velocity V m/s against time, t seconds of a bus. If the bus
traveled a distance of 40 metres, in the first four seconds, calculate the total distance for the whole
journey.
Find the position vectors of the point P where AP = 1/4 AB
Date posted: November 1, 2019.
- Solve for x in the equation
5(4)-x = 2.50(Solved)
Solve for x in the equation
5(4)-x = 2.50
Date posted: November 1, 2019.
- Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent...(Solved)
Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent who deals in Japanese yen. The agent will charge him 20% commission on the price of the car and a further 80325 Japanese yen for shipment of the car. How many Kshs will he need to send to the agent to get the car given that
1 US $ = 105.00 Japanese yen
1 US $ = KShs 63.00
Date posted: November 1, 2019.