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- 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)
- Factorize completely
(Solved)
Factorize completely
Date posted: November 1, 2019. Answers (1)
- In this question, do not use calculators
Calculate the obtuse angle, the line segment in the diagram below, makes with the line y=0
(Line is not drawn...(Solved)
In this question, do not use calculators
Calculate the obtuse angle, the line segment in the diagram below, makes with the line y=0
(Line is not drawn to scale)
Date posted: November 1, 2019. Answers (1)
- (a) Construct triangle PQR where PQ = 6cm, QR = 9cm and PR = 8cm.
(b)Drop a perpendicular from P to meet QR at M. Measure...(Solved)
(a) Construct triangle PQR where PQ = 6cm, QR = 9cm and PR = 8cm.
(b)Drop a perpendicular from P to meet QR at M. Measure PM hence calculate the area of
triangle PQR
Date posted: November 1, 2019. Answers (1)
- Evaluate (Solved)
Evaluate 
Date posted: November 1, 2019. Answers (1)
- Simplify the expression and hence solve the equation(Solved)
Simplify the expression 
and hence solve the equation 
Date posted: November 1, 2019. Answers (1)
- Without using calculators or mathematical tables evaluate:
4.8 – 5.2 + 0.54 ÷ 0.7(Solved)
Without using calculators or mathematical tables evaluate:
4.8 – 5.2 + 0.54 ÷ 0.7
Date posted: November 1, 2019. Answers (1)
- In the figure below OAB is a triangle in which OS =3/4 OA and AR:RB = 2:1 Lines OR and SB meet at T.
a)Given that...(Solved)
In the figure below OAB is a triangle in which OS =3/4 OA and AR:RB = 2:1 Lines OR and SB meet at T.
a)Given that OA =a and OB =b, express in terms of a and b
i)AB
ii)OR
iii)SB
b)Given that ST=mSB and OT=nOR, determine the values of the scalars m and n
Date posted: October 30, 2019. Answers (1)
- Three quantities P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
a)Given...(Solved)
Three quantities P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
a)Given that P = 20 when Q = 5 and R = 9. Find P when Q = 7 and R = 25
b)If Q increased by 20% and R decreased by 36%, find the percentage change in P
Date posted: October 30, 2019. Answers (1)
- a)Two blends of tea costing Ksh. 140 and Ksh.160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at...(Solved)
a)Two blends of tea costing Ksh. 140 and Ksh.160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at sh.240 per kg.
i)Find the percentage profit
ii)In what ratio should the two blends be mixed to get a mixture that costs sh.148 per kg
b)A quantity P is partly constant and partly varies as the cube of Q. when Q = 2, P = 50 and when Q =4, P =330. Find the value of Q when P= 16885
Date posted: October 30, 2019. Answers (1)
- Complete the table below for the curves y =3cos2x and y = 2sin(2x + 30)0
(Solved)
Complete the table below for the curves y =3cos2x and y = 2sin(2x + 30)0
Date posted: October 30, 2019. Answers (1)
- An aircraft leaves town P(300S,140W) and moves directly east to town Q at a speed of 270 knots for 12 hours. Determine;
a)The distance moved in...(Solved)
An aircraft leaves town P(300S,140W) and moves directly east to town Q at a speed of 270 knots for 12 hours. Determine;
a)The distance moved in nautical miles
b)The distance moved in km (take 1nm = 1.853km)
c)The position of town Q
d)The local time at Q if the local time at P is 9.13pm. Give the answer to the nearest minute.
Date posted: October 30, 2019. Answers (1)