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- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- Make P the subject of the formula(Solved)
Make P the subject of the formula
Date posted: November 2, 2019. Answers (1)
- 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. Answers (1)
- Solve the equations
x2+2xy = 25 - y2
x = y (Solved)
Solve the equations
x2+2xy = 25 - y2
x = y
Date posted: November 2, 2019. Answers (1)
- Use logarithms to evaluate
(Solved)
Use logarithms to evaluate
Date posted: November 2, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- ABCD is a parallelogram. DAB=124o. The bisectors of angle BCD and angle ADC meet at x. Find angle DXC (Reflex)(Solved)
ABCD is a parallelogram. DAB=124o. The bisectors of angle BCD and angle ADC meet at x. Find angle DXC (Reflex)
Date posted: November 1, 2019. Answers (1)
- Find the inequalities that defines the region marked R in the diagram below.(Solved)
Find the inequalities that defines the region marked R in the diagram below.
Date posted: November 1, 2019. Answers (1)