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Using compass and ruler only construct a triangle Arc such that AB= 6cm ,BC = 5cm and angle ABC = 67.5o
(Solved)
Using compass and ruler only construct a triangle Arc such that AB= 6cm ,BC = 5cm and angle ABC = 67.5o, measure the length of AC
Date posted:
September 10, 2019
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Answers (1)
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A student expanded ( x + y)2 incorrectly as x2+ y2
(Solved)
A student expanded ( x + y)2 incorrectly as x2+ y2. Calculate the percentage error in the answer if x = 4 and y = 6
Date posted:
September 10, 2019
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Answers (1)
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A fruit juice dealer sell the juice in packet of 300ml, 500ml and 750ml.
(Solved)
A fruit juice dealer sell the juice in packet of 300ml, 500ml and 750ml. find the size of the smallest
container that can fill each of the packets and leave a remainder of 200ml
Date posted:
September 10, 2019
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Answers (1)
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A school has two students whose age difference is 9. Twice the sum of their ages is equal to the age of their teacher.
(Solved)
A school has two students whose age difference is 9. Twice the sum of their ages is equal to the age of their teacher.
(a) By letting the age of the younger student be y, write an expression of the:
(i) Age of the elder student.
(ii) Age of their teacher.
(b) If in 19 years time, the product of the ages of the two students is equal to 14 times the age of their teacher;
(i) Form an equation in y and hence determine the present possible age of the younger student.
(ii) Determine the possible age of the elder student in 19 years time.
(iii) Find the possible age of the teacher.
Date posted:
September 10, 2019
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Answers (1)
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Factorise xy – zy – xw + zw hence simplify the expression completely.
(Solved)
Factorise xy – zy – xw + zw hence simplify the expression completely.

Date posted:
September 10, 2019
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Answers (1)
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A tourist visited Kenya with 2500 U.S dollars and changed the U.S dollars into Kenya Shillings at a local bank in Kenya when the exchange...
(Solved)
A tourist visited Kenya with 2500 U.S dollars and changed the U.S dollars into Kenya Shillings at a local bank in Kenya when the exchange rates at the time were as follows:

(a) How much did he get in Kenya shillings?
(b) While in Kenya, he used Shs. 80,000 and after his stay he converted the remaining amount into sterling pounds. Calculate, to 2 decimal places, the Sterling Pounds that he got.
Date posted:
September 10, 2019
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Answers (1)
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Three boats X, y and Z are approaching a harbour H. X is 50km from the harbour on a bearing of 090°.
(Solved)
Three boats X, y and Z are approaching a harbour H. X is 50km from the harbour on a bearing of 090°. Y is 80km from the harbour on a bearing of 130° and Z is due West of Y and on a bearing of 200° from the harbour.
(a) Using a scale of 1cm rep 10km make a scale drawing showing the positions of the three boats relative to the harbour.
(b)
(i) Using the scale drawing find; the distance between X and Y.
(ii) The distance of Z from the harbour
(iii) The distance between X and Z.
(iv) The compass bearing of X from Z.
Date posted:
September 6, 2019
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Answers (1)
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Determine the values of x where the curve y = x² - 2x - 3
(Solved)
(a) Determine the values of x where the curve y = x² - 2x - 3 cuts the x-axis.
(b) Using the mid-ordinate rule with four ordinates, estimate the area enclosed by the curve
y = x² - 2x - 3 and the x-axis
(c) Calculate the same area using integration method.
(d) Taking the area obtained by integration to be the exact area of the region, calculate the percentage error made when the mid-ordinate rule is used.
Date posted:
September 6, 2019
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Answers (1)
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The image of point A (-3, 4) under a translation, T is A¹ (2, -2).
(Solved)
The image of point A (-3, 4) under a translation, T is A¹ (2, -2). If the image of a point B under
T is (0, -1). Find the coordinates of B.
Date posted:
September 6, 2019
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Answers (1)
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Martha has 26 coins whose total value is sh.205.
(Solved)
Martha has 26 coins whose total value is sh.205. There are thrice as many Sh.10 coins as there are
Sh.20 coins. The rest are 50cts coins. Find the number of Sh.20 coins that Martha has.
Date posted:
September 6, 2019
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Answers (1)
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In the triangle ABC below. AC = 8cm and BC = 5cm and angle BCA = 30°.
(Solved)
In the triangle ABC below. AC = 8cm and BC = 5cm and angle BCA = 30°. Point D divides BC in the ratio 1: 4 and point E divides AC in the ratio 2: 3. Find the area of the quadrilateral ABDE.

Date posted:
September 6, 2019
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Answers (1)
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Use reciprocal and square tables to calculate to 3 significant figures the value of:
(Solved)
Use reciprocal and square tables to calculate to 3 significant figures the value of:

Date posted:
September 6, 2019
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Answers (1)
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If three numbers 36, 54 and x have a GCD of 6 and LCM of 216.
(Solved)
If three numbers 36, 54 and x have a GCD of 6 and LCM of 216. Find the least value of x
Date posted:
September 6, 2019
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Answers (1)
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The displacement S metres of a body moving along a straight line after t seconds is given by
(Solved)
The displacement S metres of a body moving along a straight line after t seconds is given by

(a) Find its initial acceleration.
(b) Calculate:-
(i) The time when the body was momentarily at rest.
(ii) Its displacement by the time it comes to rest momentarily
(c) Calculate the maximum velocity attained
Date posted:
September 6, 2019
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Answers (1)
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In the figure, E is the midpoint of AB and OD:OB = 2:5 and F is the point of intersection of OE and AD.
(Solved)
In the figure, E is the midpoint of AB and OD:OB = 2:5 and F is the point of intersection of OE and AD.

(b) Given further that AF = tAD and OF = hOE where t and h are scalars, find the values of t and h
(c) Show that the points O, F and E are collinear
Date posted:
September 6, 2019
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Answers (1)
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The figure below shows a model of a solid in the shape of a frustum of a cone with a hemispherical top.
(Solved)
The figure below shows a model of a solid in the shape of a frustum of a cone with a hemispherical top.

The diameter of the hemispherical top is 70cm and is equal to the diameter of the top of the frustum. The
frustum has a base diameter of 28cm and a slant height of 60cm.
(a) Calculate the area of the hemispherical surface.
(b) Calculate the slant height of the cone from which the frustum was cut.
(c) Calculate the total surface area of the model
Date posted:
September 6, 2019
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Answers (1)
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The diagram below shows two circles centre A and B which intersect at point P and Q. Angle PBQ = 400 and angle PAQ =...
(Solved)
The diagram below shows two circles centre A and B which intersect at point P and Q. Angle PBQ = 400 and angle PAQ = 700, and PA = AQ = 8cm.

Use the diagram to calculate to two d.p
(a) The length PQ
(b) The length PB
(c) Area of minor segment of circle centre A
(d) Area of minor segment of circle centre B
(e) The area of shaded region.
Date posted:
September 6, 2019
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Answers (1)
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Three partners Mutua, Muthoka and Mwikali contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively
(Solved)
Three partners Mutua, Muthoka and Mwikali contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively to start a business of a matatu plying Mbumbuni – Machakos route. The matatu carries 14
passengers with each paying Sh. 250. The matatu makes two round trips each day and ever full. Each day
Sh. 6000 is used to cover running costs and wages.
(a) Calculate their net profit per day.
(b) The matatu works for 25 days per month and is serviced every month at a cost of KSh.10, 000. Calculate their monthly profit in June.
(c) The three partners agreed to save 40% of the profit, 24% to be shared in the ratio of their contribution. Calculate Muthoka’s share in the month of July
(d) The matatu developed mechanical problems and they decided to sell it through an agent who charged a commission of 5% on selling price. Each partner received KSh. 475,000 from the agent after he had taken his commission. Determine the price at which the agent sold the matatu.
Date posted:
September 6, 2019
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Answers (1)
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Mutua bought 8 pairs of trousers and six shirts at Sh. 4160.
(Solved)
Mutua bought 8 pairs of trousers and six shirts at Sh. 4160. Had he bought twice as many shirts and half
as many trousers, he would have saved Sh. 160. Find the cost of each item.
Date posted:
September 6, 2019
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Answers (1)
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In the figure below PQRS is a rectangle in which PS = 10cm and PQ = 6cm
(Solved)
In the figure below PQRS is a rectangle in which PS = 10cm and PQ = 6cm. M and N are midpoints of
QR and RS respectively. Find the area of the shaded part.

Date posted:
September 5, 2019
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Answers (1)