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The diagram below shows triangle ABC, such that CA = 2a and CB = 3b.
(Solved)
The diagram below shows triangle ABC, such that CA = 2a and CB = 3b. M is the midpoint of CA. N is a point on AB such that 2 AN = NB and R is a point on AB produced such that 2 AR = 5RB. If K is the point of intersection of MR and CN,
(a) Express in terms of a and b.
(i) AB.
(ii) CN.
(iii) BR.
(iv) MR.
(v) CK.
(b) Find the ratio CK: KN.
Date posted:
September 11, 2019
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Answers (1)
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Two quantities P and r are connected by the equation P = Krn. Where k and n are constants.The table of values of P and...
(Solved)
Two quantities P and r are connected by the equation P = Krⁿ. Where k and n are constants.The table of values of P and r is given below.
(a) State the linear equation connecting P and r.
(b) (i) Using a suitable scale, draw a suitable line graph from the above data on the grid provided.
(ii) Using your graph, estimate the values of K and n.
(c) Find the relation connecting P and r.
Date posted:
September 11, 2019
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Answers (1)
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The table below shows the distribution of marks scored by 50 students of Afraha high.
(Solved)
The table below shows the distribution of marks scored by 50 students of Afraha high.
Calculate:-
(a) interquartile range.
(b) Mean mark
(c) Standard deviation
Date posted:
September 11, 2019
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Answers (1)
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The figure below shows an arc of a circle through three points A, B and C.
(Solved)
The figure below shows an arc of a circle through three points A, B and C.
Calculate the co-ordinates of the centre of the circle.
Date posted:
September 11, 2019
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Answers (1)
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A commercial plot is valued at shs.500,000. The plot depreciates at a rate of 10% per six months for a period of 2 years.
(Solved)
A commercial plot is valued at shs.500,000. The plot depreciates at a rate of 10% per six months for a period of 2 years. It then appreciates at a rate of 4% per quarter yearly for three years. Find the value of the plot after 5 years to nearest shillings.
Date posted:
September 11, 2019
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Answers (1)
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In the figure shown below, angle PTS = 54° and PT and ST are tangents to the circle and that PR is parallel to TS.
(Solved)
In the figure shown below, angle PTS = 54° and PT and ST are tangents to the circle and that PR is parallel to TS.
Giving reasons; find the values of angles:
(i) PRQ.
(ii) RQS.
Date posted:
September 11, 2019
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Answers (1)
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Show by shading the unwanted region, the region which satisfies the following inequalities
(Solved)
Show by shading the unwanted region, the region which satisfies the following inequalities
(b) calculate the area of this region in a square units
Date posted:
September 10, 2019
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Answers (1)
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Five towns V,W,X,UY and Z are situated such that W is 200km east of V.
(Solved)
Five towns V,W,X,UY and Z are situated such that W is 200km east of V. X is 300km from W on a bearing of 150o. Y is 350km on a bearing of 240o from X. Z is 150o from V but 200o from X.
Draw the diagram representing the position of the towns. ( use a scale of 1cm to represent 50km) .
(b) From the diagram determine
(i) the distance in km of V from Z
(ii) The bearing of Y from W
(c) A plane heading to town X takes off from town y and flies upwards of a constant angle which
is less than 90o. After flying a distance of 350km in the air it sees town x at an angle of depression of 50o. Calculate the distance of the plane from x at this point to the nearest km.
Date posted:
September 10, 2019
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Answers (1)
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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)