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A truck left Nairobi at 7a.m for Nakuru at an average speed of 60km/hr. At 8 a.m a bus left Nakuru for Nairobi at an
average...
(Solved)
A truck left Nairobi at 7a.m for Nakuru at an average speed of 60km/hr. At 8 a.m a bus left Nakuru for Nairobi at an
average speed of 120km/hr. How far from Nairobi did the vehicles meet if Nairobi is 160 km from Nakuru.
Date posted:
May 6, 2019
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Answers (1)
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Three bells ring at intervals of 18 minutes, 30 minutes and 42 minutes .the bells will next ring together at 10.00am.
Find the time the bells...
(Solved)
Three bells ring at intervals of 18 minutes, 30 minutes and 42 minutes .the bells will next ring together at 10.00am.
Find the time the bells last rang together.
Date posted:
May 6, 2019
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Answers (1)
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Given that 84y x 27x = 36, find the exact values of x and y.
(Solved)
Given that 84y x 27x = 36, find the exact values of x and y.
Date posted:
May 6, 2019
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Answers (1)
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The area of a rhombus is 120 cm2. Given that one of its diagonals is 24cm, calculate the perimeter of the rhombus.
(Solved)
The area of a rhombus is 120 cm2. Given that one of its diagonals is 24cm, calculate the perimeter of the rhombus.
Date posted:
May 6, 2019
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Answers (1)
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Simplify the expression:
(Solved)
Simplify the expression:

Date posted:
May 6, 2019
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Answers (1)
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Use tables of squares, square root and reciprocals to evaluate to 3 decimal places the question below.
(Solved)
Use tables of squares, square root and reciprocals to evaluate to 3 decimal places the question below.

Date posted:
May 6, 2019
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Answers (1)
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Evaluate without using a calculator
(Solved)
Evaluate without using a calculator

Date posted:
May 6, 2019
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Answers (1)
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The figure shows triangle OPQ in which QN : NP = 1 : 2, OT : TN = 3 : 2 and M is the...
(Solved)
The figure shows triangle OPQ in which QN : NP = 1 : 2, OT : TN = 3 : 2 and M is the mid - point of OQ.

OP = p and OQ = q
a) Express the following in terms of p and q.
i) PQ
ii) ON
iii) PT
iv) PM
b) Hence show that P, T and M are collinear.
Date posted:
May 6, 2019
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Answers (1)
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The table below shows income tax rates for a certain year.
(Solved)
The table below shows income tax rates for a certain year.

A secondary school teacher was earning a monthly basic salary of Ksh. 55,480 house allowance of Kshs. 12,000 and a
commuter allowance of ksh. 8000. He was entitled to a personal relief of Kshs. 1162 per month.
a) Calculate
i) The teacher’s taxable income.
ii) The teacher’s net monthly tax.
b) In addition to the tax the other deductions were per month as follows:
- Cooperative loan Ksh. 10,000
- Co-operative shares Ksh. 2,000
- Window and children’s pensions scheme at 2% of the basic salary.
Calculate the teacher’s net monthly pay.
Date posted:
May 6, 2019
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Answers (1)
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The figure below shows the pulleys with centres A and B and radii 13cm and 6cm respectively. The distance between
the centres is 25cm.
(Solved)
The figure below shows the pulleys with centres A and B and radii 13cm and 6cm respectively. The distance between
the centres is 25cm.

A belt PRSTUP goes round the two pulleys. PQ and TS are also tangents.
a) Calculate
i) Length PQ
ii) Angle BAP
b) Hence or otherwise calculate the length of the belt.
Date posted:
May 6, 2019
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Answers (1)
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A businesswoman mixes three types of rice A, B and C in the ratio A : B = 1 : 2 and B : C...
(Solved)
A businesswoman mixes three types of rice A, B and C in the ratio A : B = 1 : 2 and B : C = 4 : 5. The mixture is to
contain 60 bags of type B.
a) Find the ratio A : B : C
b) Find the required number of bags of type C.
c) The cost per bag of type A is Kshs. 7,500, type B Kshs. 5,000 and type C Kshs. 4,000.
i) Calculate the cost per bag of the mixture.
ii) Find the percentage profit if the selling price of the mixture is Ksh. 6,500 per bag.
Date posted:
May 6, 2019
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Answers (1)
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The gradient function of a curve is x3 - 4. If the curve passes through point (2, 3). Find the equation of the curve.
(Solved)
The gradient function of a curve is x3 - 4. If the curve passes through point (2, 3). Find the equation of the curve.
Date posted:
May 6, 2019
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Answers (1)
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A plane flies from point P (400N,500E) towards West to a point Q. Given that the plane covers a distance of 10,000km what is the...
(Solved)
A plane flies from point P (400N, 500E) towards West to a point Q. Given that the plane covers a distance of 10,000km what is the position of Q. (Take 𝜋= 22/7, radius of the earth 6370km)
Date posted:
May 6, 2019
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Answers (1)
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Francis bought a vehicle at ksh. 2 800 000. After three years he sold the vehicle at Kshs. 1,500,000. Determine the average rate of depreciation...
(Solved)
Francis bought a vehicle at ksh. 2 800 000. After three years he sold the vehicle at Kshs. 1,500,000. Determine the average rate of depreciation per annum correct to one decimal place.
Date posted:
May 6, 2019
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Answers (1)
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Solve the simultaneous equations.
(Solved)
Solve the simultaneous equations.
2x - y = 3
xy - y2 = 0
Date posted:
May 6, 2019
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Answers (1)
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The figure below represent a square based right pyramid ABCDV. AB = 10cm,AV = BV = CV = DV = 15cm.
(Solved)
The figure below represent a square based right pyramid ABCDV. AB = 10cm,AV = BV = CV = DV = 15cm.

Calculate the angle between AV and the base ABCD to the decimal place.
Date posted:
May 6, 2019
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Answers (1)
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Solve for x without using mathematical tables or calculators.
(Solved)
Solve for x without using mathematical tables or calculators.

Date posted:
May 6, 2019
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Answers (1)
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Expand (4 - x)7 upto to the term in x4. Hence find the appropriate value of (3.8)7.
(Solved)
Expand (4 - x)7 upto to the term in x4. Hence find the appropriate value of (3.8)7.
Date posted:
May 6, 2019
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Answers (1)
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In a transformation, an object with area 9cm2 is mapped onto an image whose area is 54cm2. Given that the matrix of transformation is
(Solved)
In a transformation, an object with area 9cm2 is mapped onto an image whose area is 54cm2. Given that the matrix of transformation is
find the value of x.
Date posted:
May 6, 2019
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Answers (1)
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Determine the amplitude and period of the function 3y = 6sin (2x - 30).
(Solved)
Determine the amplitude and period of the function 3y = 6sin (2x - 30).
Date posted:
May 6, 2019
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Answers (1)