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Two lines L1 and L2 intersect at a point P. L1 passes through the points (-4,0) and (0,6). Given that L2 has the equation: y...
(Solved)
Two lines L1 and L2 intersect at a point P. L1 passes through the points (-4,0) and (0,6). Given that L2 has the equation: y = 2x – 2, find, by calculation, the coordinates of P.
Date posted:
August 7, 2019
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Answers (1)
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The L.C.M. of three numbers is 360 and the G.C.D of the same numbers is 2. If one of the
numbers is 40. find the other...
(Solved)
The L.C.M. of three numbers is 360 and the G.C.D of the same numbers is 2. If one of the
numbers is 40. find the other 2 numbers.
Date posted:
August 7, 2019
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Answers (1)
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Write the odd numbers in descending order between 1 and 10 inclusive
(Solved)
a) Write the odd numbers in descending order between 1 and 10 inclusive
b) Round off the number formed to 3 significant figures.
c) Find the total value of digit 7 in the new number in 1(b) above.
Date posted:
August 7, 2019
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Answers (1)
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An arithmetic progression has the first term as a and common difference as d
(i) Write down the third, ninth and twenty fifth term of the...
(Solved)
An arithmetic progression has the first term as a and common difference as d
(i) Write down the third, ninth and twenty fifth term of the progression
(ii) The arithmetic progression above is such that it is increasing and the third, ninth and twenty fifth terms form the first three consecutive terms e.g. a geometric progression. If the sum of the seventh term and twice the sixth term of the A.P is 78.Calculte the first term and the common difference of A.P.
Date posted:
August 7, 2019
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Answers (1)
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Every time an insect jumps forward the distance covered is half of the previous jump.
If the insect initially jumped 6.4m. Calculate
(i) The length of 7th...
(Solved)
Every time an insect jumps forward the distance covered is half of the previous jump.
If the insect initially jumped 6.4m. Calculate
(i) The length of 7th jump
(ii) The total distance covered after the 7th jump
Date posted:
August 7, 2019
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Answers (1)
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In the figure below ABCDE is a pentagon inscribed in a circle. CX is a tangent to the circle at C and EDX is a...
(Solved)
In the figure below ABCDE is a pentagon inscribed in a circle. CX is a tangent to the circle at C and EDX is a straight line. Angle ADE = 340, angle CAD = 420, AB = BC and BC is parallel to AD. Giving reasons, determine

(a) (i) Angle ABC
(ii) Angle ACD
(iii) Angle EAD
(iv) Angle CXD
(b) Given that ED = 5cm, DX = 4cm, calculate the length of CX
Date posted:
August 7, 2019
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Answers (1)
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The figure below shows two circles intersecting at C and D. The centres are A and B with radii 8cm and 6cm respectively. AB =...
(Solved)
The figure below shows two circles intersecting at C and D. The centres are A and B with radii 8cm and 6cm respectively. AB = 10cm.

Determine
(i) Size of angle DAC
(ii) Size of angle DBC
(iii) Area of sector ACMD
(iv) Area of the shaded region
Date posted:
August 7, 2019
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Answers (1)
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A plastic water tank has a shape as shown below, with a frustrum of a cone on top, a cylindrical body and a hemispherical bottom.
(a)...
(Solved)
A plastic water tank has a shape as shown below, with a frustrum of a cone on top, a cylindrical body and a hemispherical bottom.

(a) Calculate
(i) The volume of the tank in m3.
(b) A filler pipe takes 3 hours to fill a third of the tank. If the tank is already ¼ full, at what time will the filler pipe fill the tank if the pipe is opened at 9.00 a.m.
(c) A particle falls in the tank. If its chances of being in any part of the tank are equally likely, find the probability of it being in the hemispherical part.
Date posted:
August 7, 2019
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Answers (1)
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The figure below represents a school field.
Find the length of AB given that angle BAD and angle CBD are right angles.
(Solved)
The figure below represents a school field.

Find the length of AB given that angle BAD and angle CBD are right angles.
Date posted:
August 7, 2019
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Answers (1)
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The interior angle of a regular polygon is 9 times the exterior angle. How many sides does the
polygon have?
(Solved)
The interior angle of a regular polygon is 9 times the exterior angle. How many sides does the
polygon have?
Date posted:
August 7, 2019
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Answers (1)
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Three people Makori, Ondieki and Mosomi contributed money to start a business. Makori contributed a quarter of the total amount and Ondieki two fifth of...
(Solved)
Three people Makori, Ondieki and Mosomi contributed money to start a business. Makori contributed a quarter of the total amount and Ondieki two fifth of the remainder. Mosomi’s contribution was one and half times that of Makori. They borrowed the rest of the money from the bank which was sh. 60,000 less than Mosomi’s contribution. Find the total amount required to start the business.
Date posted:
August 7, 2019
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Answers (1)
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A two digit number is such that when the digits are reversed the value of the number increases by 9. Three times the sum of...
(Solved)
A two digit number is such that when the digits are reversed the value of the number increases by 9. Three times the sum of its digits is less than the value of the number by 8. Find the number.
Date posted:
August 7, 2019
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Answers (1)
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A tea blender buys two grades of tea at sh 60 and sh 80 per packet. Find the ratio in which he should mix them...
(Solved)
A tea blender buys two grades of tea at sh 60 and sh 80 per packet. Find the ratio in which he should mix them so that by selling the mixture at sh 90, a profit of 25% is realized.
Date posted:
August 7, 2019
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Answers (1)
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A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25litres. if the
larger tank has a height of...
(Solved)
A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25litres. if the
larger tank has a height of 100cm. calculate the height of the model tank.
Date posted:
August 7, 2019
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Answers (1)
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A line passes through the points A (2, 6) and B (4, -8). Find the equation of the perpendicular
bisector of line AB.
(Solved)
A line passes through the points A (2, 6) and B (4, -8). Find the equation of the perpendicular
bisector of line AB.
Date posted:
August 6, 2019
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Answers (1)
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Use Square roots, reciprocal and square tables to evaluate to 4 significant figures the expression.
(Solved)
Use Square roots, reciprocal and square tables to evaluate to 4 significant figures the expression.

Date posted:
August 6, 2019
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Answers (1)
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A two digit number is such that its value is equal four times the sum of its digits. If the digits
are interchanged, the new number...
(Solved)
A two digit number is such that its value is equal four times the sum of its digits. If the digits
are interchanged, the new number formed exceeds two-thirds of the original number by 52.
Find the original number.
Date posted:
August 6, 2019
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Answers (1)
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Using a ruler and a pair of compasses only construct.
a) A line PQ, 8cm long. On the line construct triangle PQR such that angle QPR...
(Solved)
Using a ruler and a pair of compasses only construct.
a) A line PQ, 8cm long. On the line construct triangle PQR such that angle QPR = 750 and
line PR = 7cm. measure line QR
b) Construct a circum circle of triangle PQR.
Date posted:
August 6, 2019
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Answers (1)
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A straight line passing through the points (8,-2) and (4,-4) has its equation in the form ax +
by + c = 0, where a, b...
(Solved)
A straight line passing through the points (8,-2) and (4,-4) has its equation in the form ax +
by + c = 0, where a, b and c are integers.
a) Determine the numerical values of a, b and c.
b) If the line in (a) above cuts the x-axis at point P, determine the coordinates of P.
c) Another line, which is perpendicular to the line in (a) above passes through point P and cuts the
y axis at Q. determine the coordinates of point Q.
d) Find the length of QP
Date posted:
August 6, 2019
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Answers (1)
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A man invests Ksh. 24,000 in an account which pays 16% interest p.a. the interest is compounded quarterly. Find the amount in the account after...
(Solved)
A man invests Ksh. 24,000 in an account which pays 16% interest p.a. the interest iscompounded quarterly. Find the amount in the account after 1 ½ years.
Date posted:
August 6, 2019
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Answers (1)