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A bag contains 7 red balls and 5 green balls. A ball is drawn at random three times.
(Solved)
A bag contains 7 red balls and 5 green balls. A ball is drawn at random three times.
(a) Calculate the probability of drawing three red balls if:
(i) the ball is replaced after each draw.
(ii) the ball is not replaced after each draw
(b) Calculate the probability of drawing at least two red balls when the ball is not replaced after each draw.
Date posted:
May 8, 2019
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Answers (1)
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The table below shows month income tax rates for the year 2003
(Solved)
The table below shows month income tax rates for the year 2003
The PAYE of Ole Shege in 2003 was Sh. 5079. Ole Shege’s earnings include a basic salary, house allowance of KSh.
120,000, a medical allowance of KSh. 2,880 and commuter allowance of KSH. 340. He was entitled to a monthly tax
relief of KSh. 1056. Calculate:
(i) Ole Shege’s gross tax
(ii) his basic salary
(iii) Ole Shege’s net salary if he deducted the following amount from his payslip:
- NHIF KSh. 320
- Cooperative loan KSh. 2050
Date posted:
May 8, 2019
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Answers (1)
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The figure below shows a shape of a roof with horizontal rectangular ABCD. The ridge EF is also horizontal. The
measurements of the roof are AB...
(Solved)
The figure below shows a shape of a roof with horizontal rectangular ABCD. The ridge EF is also horizontal. The
measurements of the roof are AB = 8cm, BC = 5cm, EF = 4.5cm and EA = ED = FB = FC = 3.5cm.
Calculate
(i) the length of the ridge EF above the base ABCD
(ii) the angle between the face AED and the base ABCD
(iii) the angle between the face ABFE and the base ABCD
Date posted:
May 8, 2019
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Answers (1)
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Two points on the surface of the earth are A (400N, 300W) and B (200S, 300W). Given that the radius of the earth is 6370km,...
(Solved)
Two points on the surface of the earth are A (400N, 300W) and B (200S, 300W). Given that the radius of the earth is 6370km, determination the shortest distance between the two points. (Take 𝜋 =22/7)
Date posted:
May 8, 2019
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Answers (1)
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A circle whose centre is (-2,5) has a diameter of 4 units. Find the equation of the circle in its expanded form.
(Solved)
A circle whose centre is (-2,5) has a diameter of 4 units. Find the equation of the circle in its expanded form.
Date posted:
May 8, 2019
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Answers (1)
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Juma, Peter and Jane shared KSh. 25,000 as follows: Juma and Peter in the ratio 1:2 and that of Peter to Jane in the
ratio 4:1....
(Solved)
Juma, Peter and Jane shared KSh. 25,000 as follows: Juma and Peter in the ratio 1:2 and that of Peter to Jane in the
ratio 4:1. How much did Peter get?
Date posted:
May 8, 2019
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Answers (1)
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Position vector of points A and B are a = i + 3j + 5k and b = ui – j + 2k respectively. Find...
(Solved)
Position vector of points A and B are a = i + 3j + 5k and b = ui – j + 2k respectively. Find the position vector of point R
which divides AB in the ratio 4:-3
Date posted:
May 8, 2019
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Answers (1)
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A pond holds 27000 litres of water. How many litres of water would a similar pond hold if its dimensions were double
the first one?
(Solved)
A pond holds 27000 litres of water. How many litres of water would a similar pond hold if its dimensions were double
the first one?
Date posted:
May 8, 2019
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Answers (1)
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A steel ball has radius of 15.33mm. Calculate the percentage error in its surface area correct to 2 s.f.
(Solved)
A steel ball has radius of 15.33mm. Calculate the percentage error in its surface area correct to 2 s.f.
Date posted:
May 8, 2019
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Answers (1)
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In the figure below, AB = 3cm, BE = 6cm and DE = 5cm. Find CD.
(Solved)
In the figure below, AB = 3cm, BE = 6cm and DE = 5cm. Find CD.
Date posted:
May 8, 2019
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Answers (1)
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A boy whose eye level when standing is 1.6m stands infront of a storey building 30m tall. He observes the top of the
building at an...
(Solved)
A boy whose eye level when standing is 1.6m stands infront of a storey building 30m tall. He observes the top of the
building at an angle of elevation of 42036’. Find the distance between the boy and the building leaving your answer
correct to 4 s.f.
Date posted:
May 8, 2019
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Answers (1)
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Simplify the expression below
(Solved)
Simplify the expression
Date posted:
May 8, 2019
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Answers (1)
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Make c the subject formula;
(Solved)
Make c the subject formula;
Date posted:
May 8, 2019
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Answers (1)
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Use logarithm to evaluate
(Solved)
Use logarithm to evaluate
Date posted:
May 8, 2019
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Answers (1)
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Given that the curve y = x3– 3x2 find:
(Solved)
Given that the curve y = x3– 3x2 find:
(a) The coordinate of the stationary points of the curve.
(b) Sketch the curve y = x3– 3x2
Date posted:
May 8, 2019
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Answers (1)
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AMREF Kenya decided to buy y bicycles for a total cost of 72,000 shillings. The seller agreed to offer a discount of 200
shillings per bicycle....
(Solved)
AMREF Kenya decided to buy y bicycles for a total cost of 72,000 shillings. The seller agreed to offer a discount of 200
shillings per bicycle. AMFREF Kenya was able to buy 4 extra bicycles for the same amount of money.
(a) Write an expression in terms of y for the:
(i) original price of each bicycle.
(ii) price of each bicycle after the discount.
(b) Form an equation in y and hence determine the number of bicycles AMREF Kenya bought.
(c) Calculate the discount offered to AMREF Kenya as percentage.
Date posted:
May 8, 2019
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Answers (1)
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In a bicycle rally, cyclists are to follow routes VWXY. W is 250km from V on a bearing of N750E from V. X is on...
(Solved)
In a bicycle rally, cyclists are to follow routes VWXY. W is 250km from V on a bearing of N750E from V. X is on a
bearing of S700E from V and 275km from W. Y is 300km on a bearing of N400E from X. Using a scale of 1cm to
represent 50km.
(a) Draw a diagram to show the relative positions of VWXY.
(b) Determine the distance in km
(i) VX
(ii) XY
(iii) WY
(c) (i) Determine the compass bearing of W from X
(ii) The compass bearing of Y from W
(iii) The compass bearing of X from Y
Date posted:
May 8, 2019
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Answers (1)
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Town A and B are 24km apart. Susan leaves town A at 10.00 a.m and cycles to town B at a steady speed if 12km/h....
(Solved)
Town A and B are 24km apart. Susan leaves town A at 10.00 a.m and cycles to town B at a steady speed if 12km/h. She
rests for exactly one hour and then runs back to town A at 8km/h. Jane leaves town B at 11.45 a.m and rides straight to
town A, where reaches 5 minutes after Susan.
(a) At what time did Susan leave town B.
(b) At what time did Jane reach town A.
(c) How fast did Jane ride?.
(d) At what time did Susan overtake Jane?
Date posted:
May 8, 2019
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Answers (1)
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(a) Draw the curve y = x2, for 0 < x < 3.
Take 2cm to represent 1 unit x-axis and 1cm to represent 1 unit...
(Solved)
(a) Draw the curve y = x2, for 0 < x < 3.
Take 2cm to represent 1 unit x-axis and 1cm to represent 1 unit on the y-axis.
(b) Use the graph to estimate the area bounded by the curve y = x2, the x-axis and the lines x = 0 and x = 3 using
trapezia. (correct 3 d.p)
Date posted:
May 8, 2019
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Answers (1)
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In triangle OAB, OA = a, OB = b and P lies on AB such that AP:PB = 3 : 5.
(Solved)
In triangle OAB, OA = a, OB = b and P lies on AB such that AP:PB = 3 : 5.
(a) In terms of a and b the vectors.
(i) AB
(ii) AP
(iii) BP
(iv) OP
Date posted:
May 8, 2019
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Answers (1)