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A bus left Kisumu for Nairobi at an average speed of 60km/hr. After 1½ hours another car left Kisumu for Nairobi along the
same route at...
(Solved)
A bus left Kisumu for Nairobi at an average speed of 60km/hr. After 1½ hours another car left Kisumu for Nairobi along the
same route at an average speed of 100km/hr. If the distance between Kisumu and Nairobi is 500km, determine:
a) i) The distance of the bus from Nairobi when the car took off.
ii) The distance the car travelled to catch up with the bus.
b) Immediately the car caught up with the bus, the car stopped for 25 minutes. Find the new average speed of which the car
travelled in order to reach Nairobi at the same time at the bus. (to the nearest whole number).
Date posted:
May 9, 2019
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Answers (1)
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The marks obtained by 10 students in a maths test were
25, 24, 22, 23, x, 26, 21, 23, 22, and 27
(Solved)
The marks obtained by 10 students in a maths test were
25, 24, 22, 23, x, 26, 21, 23, 22, and 27
The sum of the squares of the marks = 5154
a) Calculate the
i) value of x.
ii) Standard deviation.
b) If each is increased by 3, write down the
i) New mean
ii) New Standard deviation.
Date posted:
May 9, 2019
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Answers (1)
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A bus travelling at a an average speed of 63km/h, left the station at 8 : 15am. A car left the same station at 9:00...
(Solved)
A bus travelling at a an average speed of 63km/h, left the station at 8 : 15am. A car left the same station at 9:00 am and
caught up with the bus at 10:45. Find the average speed of the car.
Date posted:
May 9, 2019
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Answers (1)
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In the figure below angle EHF =angle EFH = 90°. HF = 5cm and EF = 12cm. Calculate the length of FG leaving your answer...
(Solved)
In the figure below angle EHF =angle EFH = 90°. HF = 5cm and EF = 12cm. Calculate the length of FG leaving your answer as a mixed
fraction.
Date posted:
May 9, 2019
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Answers (1)
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Use reciprocals, cubes and square root tables to evaluate.
(Solved)
Use reciprocals, cubes and square root tables to evaluate.
Date posted:
May 9, 2019
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Answers (1)
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a) Using the line given below construct the locus of a point P one side such that angle APB = 60°
(Solved)
a) Using the line given below construct the locus of a point P one side such that angle APB = 60°
b) On the same diagram locate the position of point C on the Locus of P and is equidistance from A and B.
Date posted:
May 9, 2019
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Answers (1)
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Solve for x in 125x + 53x - 3 = 47
(Solved)
Solve for x in 125x + 53x - 3 = 47
Date posted:
May 9, 2019
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Answers (1)
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Each interior angle of a regular polygon is 100 larger than the exterior angle. Determine the number of sides of the polygon.
(Solved)
Each interior angle of a regular polygon is 100 larger than the exterior angle. Determine the number of sides of the polygon.
Date posted:
May 9, 2019
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Answers (1)
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The figure below shows a frustum. Find its volume.
(Solved)
The figure below shows a frustum. Find its volume.
Date posted:
May 9, 2019
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Answers (1)
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x (4, -3) and y(-3, -4) are points on a straight line. Find the equation of a line perpendicular to xy, passing through y. Giving
your...
(Solved)
x (4, -3) and y(-3, -4) are points on a straight line. Find the equation of a line perpendicular to xy, passing through y. Giving
your answer in the form ax + by + c = 0
Date posted:
May 9, 2019
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Answers (1)
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A tourist arrived from USA and changed his US $ 1500 to Kshs. He spent Kshs 3,000 per night in a hotel for 20 nights...
(Solved)
A tourist arrived from USA and changed his US $ 1500 to Kshs. He spent Kshs 3,000 per night in a hotel for 20 nights and a
further Kshs 5,000 daily for 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:
May 9, 2019
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Answers (1)
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The diagram below represents a parallelogram. Calculate the area of the shaded region.
(Solved)
The diagram below represents a parallelogram. Calculate the area of the shaded region.
Date posted:
May 9, 2019
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Answers (1)
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Simplify the expression
(Solved)
Simplify the expression
Date posted:
May 9, 2019
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Answers (1)
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Find the integral values that satisfy the inequality.
2x + 3 = 5x - 3 > - 8
(Solved)
Find the integral values that satisfy the inequality.
2x + 3 ≥ 5x - 3 > - 8
Date posted:
May 9, 2019
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Answers (1)
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Find the least number of biscuits that can be packed into carton boxes which contain either 9 or 15 or 20 or 24 with none
left...
(Solved)
Find the least number of biscuits that can be packed into carton boxes which contain either 9 or 15 or 20 or 24 with none
left over.
Date posted:
May 9, 2019
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Answers (1)
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Evaluate the following expression
(Solved)
Evaluate the following expression
Date posted:
May 9, 2019
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Answers (1)
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Two places P and Q are on the parallel of latitude 26°N. The two points lie on 10°W and 30°E longitudes respectively.
(Solved)
Two places P and Q are on the parallel of latitude 26°N. The two points lie on 10°W and 30°E longitudes respectively.
(a) Find the distance between P and Q along their parallel of latitude in
(i) km (Taking R = 6370km and pi = 3.142)
(ii) nm
(b) Find in km the distance between points P and Q along a great circle.
(c) Two planes X and Y left P for Q at an average speed of 1200 knots and 5000 knots respectively. If X flew along the
great circle and Y along the parallel of latitude, which one arrived earlier and by how much time?
Date posted:
May 9, 2019
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Answers (1)
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The diagram below shows two intersecting circles with centres X and Y. HG is a tangent to the circle centre X at C.
(Solved)
The diagram below shows two intersecting circles with centres X and Y. HG is a tangent to the circle centre X at C.
(a) Determine:
(i) Angle DXE
(ii) Length DE
(b) Hence, calculate the area of the shaded region.
Date posted:
May 9, 2019
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Answers (1)
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I own a motorcycle. Out of the 21 working days in a month, I only ride to work for 18 days. If I ride to...
(Solved)
I own a motorcycle. Out of the 21 working days in a month, I only ride to work for 18 days. If I ride to work the
probability that I am bitten by a rapid dog is 4/15, otherwise it is only 1/13 when I am bitten by the dog, the probability
that I will get treatment is 4/5 and if I do not get treatment, the probability that I will get rabies is 5/7.
(a) Draw a tree diagram to show the events.
(b) Musing the tree diagram (a) above determine the probability that:
(i) I will not be bitten by a rapid dog.
(ii) I will get rabies
(iii) I will not get rabies.
Date posted:
May 9, 2019
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Answers (1)
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Use ruler and compasses only for all the constructions in this question.
(Solved)
Use ruler and compasses only for all the constructions in this question.
(a) Construct a triangle ABC in which AB= 6cm, BC = 7cm and angle ABC = 75°. Measure:
(i) the length of AC
(ii) the angle of ACB
(b) Locus of P is such that BP = PC. Construct P.
(c) Construct locus of Q such that Q is on one side of BC opposite A and angle BCQ = 30°.
(d) (i) the locus of P and locus of Q meet at X. Mark X.
(ii) Construct the locus of R in which angle BRC = 120°.
(iii) Show the locus of S inside the triangle ABC such that XS ≥ SR.
Date posted:
May 9, 2019
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Answers (1)