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The data below shows the age of 10 students picked at random in a secondary school
(Solved)
The data below shows the age of 10 students picked at random in a secondary school
6, 11, 13, 14, 8, 7, 12, 20, P and 9. If
,determine the value of P hence, find the standard deviation to 3 d.p
Date posted:
September 11, 2019
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Answers (1)
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A quantity P varies jointly as Q and the square of R. If Q increased by 20% and R decreased by 15%.
(Solved)
A quantity P varies jointly as Q and the square of R. If Q increased by 20% and R decreased by 15%. Find the percentage change in P.
Date posted:
September 11, 2019
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Answers (1)
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The top of a table is a regular hexagon. Each side of the hexagon measures 50.0cm.
(Solved)
The top of a table is a regular hexagon. Each side of the hexagon measures 50.0cm. Find the Maximum percentage error in calculating the perimeter of the top of the table.
Date posted:
September 11, 2019
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Answers (1)
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Given that tan 650 = 3 + v5 , without using tables or calculator, determine tan 250
(Solved)
Given that tan 650 = 3 + √5 , without using tables or calculator, determine tan 250, leaving your answer in the form at a + b √c where a, b and c are rational numbers.
Date posted:
September 11, 2019
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Answers (1)
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Solve for x in the equation log8 (x + 5) – log8 (x – 3) = 2/3
(Solved)
Solve for x in the equation log8 (x + 5) – log8 (x – 3) = 2/3
Date posted:
September 11, 2019
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Answers (1)
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Make b the subject of the formula.
(Solved)
Make b the subject of the formula.

Date posted:
September 11, 2019
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Answers (1)
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The product of the first three terms of geometric progression is 729.
(Solved)
The product of the first three terms of geometric progression is 729. If the first term is a and the common ratio is r.
(a) Express r in terms of a.
(b) Given the sum of the three terms is 39.
(i) Find the values of a and r and hence write down two possible sequences each up to the 4th term.
(ii) Find the product of the 10th term of the two sequences.
Date posted:
September 11, 2019
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Answers (1)
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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)