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In the diagram below OX = x and OY = y, M and N are points on OY and XY respectively where OM =1/3 OY...
(Solved)
In the diagram below OX = x and OY = y, M and N are points on OY and XY respectively where OM =1/3 OY and XN =2/5 XY. Lines XM and ON interest at P such that OP =5/9 ON.
(a) Express in terms of vector x and y.
(i) XY
(ii) ON
(iii) XM
(b) Express XP and PM in terms of x and y
(c) State the ratio XP:PM
Date posted:
April 30, 2019
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Answers (1)
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A taxi businessman borrows Sh. 650,000.00 from a bank to buy a taxi valued at the same amount.The bank charges interest at 24% p.a. compounded...
(Solved)
A taxi businessman borrows Sh. 650,000.00 from a bank to buy a taxi valued at the same amount.The bank charges interest at 24% p.a. compounded quarterly. Calculate the compound interest paid to the bank after 1½ years rounded to the nearest shilling.
Date posted:
April 30, 2019
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Answers (1)
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In a certain year income tax was charged at the rates shown below.
(Solved)
In a certain year income tax was charged at the rates shown below.
Mrs. Munene earns a basic salary of KSh. 15000.00, a house allowance of KSh. 8,000.00 and a commuter allowance of
KSh. 2,000.00 per month. She pays a health insurance scheme at Sh. 320 per month and she is entitled to a personal
relief of Sh. 1156.00 per month.
Determine
(i) Her annual taxable income in K£
(ii) The income tax she pays per year after relief.
Date posted:
April 30, 2019
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Answers (1)
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A colony of bees was found to have 100 bees at the beginning. Thereafter, the number doubled every two days. How many bees will be...
(Solved)
A colony of bees was found to have 100 bees at the beginning. Thereafter, the number doubled every
two days. How many bees will be in the colony after 14 days?
Date posted:
April 30, 2019
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Answers (1)
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The nth term of a series is given by 6 – 4n.
(Solved)
The nth term of a series is given by 6 – 4n.
(i) Write down the first four terms of the series.
(ii) Find the sum of the first 16 terms of the series.
(iii) Find the 25th term.
Date posted:
April 30, 2019
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Answers (1)
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Give that a = 6i, b = 5i – 3j and c = 3i + j, find scalars h and k such that ha +...
(Solved)
Give that a = 6i, b = 5i – 3j and c = 3i + j, find scalars h and k such that ha + kb = c
Date posted:
April 30, 2019
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Answers (1)
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Jane bought five Physics books and six Mathematics books for a total of Sh. 2440. Her friend Gakii bought two Physics
books and three Mathematics books...
(Solved)
Jane bought five Physics books and six Mathematics books for a total of Sh. 2440. Her friend Gakii bought two Physics
books and three Mathematics books more than Jane and spent Sh. 3560.00.
Calculate the cost of each Mathematics book.
Date posted:
April 30, 2019
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Answers (1)
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Find the length NX in the figure below that PQ = 9cm, PX = 12cm and MX = 15cm.
(Solved)
Find the length NX in the figure below that PQ = 9cm, PX = 12cm and MX = 15cm.
Date posted:
April 30, 2019
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Answers (1)
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Given that the matrix below is a singular matrix find the possible values of x.
(Solved)
Given that the matrix below is a singular matrix find the possible values of x.
Date posted:
April 30, 2019
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Answers (1)
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Solve for x in the equation given below
(Solved)
Solve for x in the equation given below
Date posted:
April 30, 2019
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Answers (1)
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AB is a diameter of a circle. Given that the coordinates of A and B are (-2,2) and (-2,6) respectively, find the equation of
the circle...
(Solved)
AB is a diameter of a circle. Given that the coordinates of A and B are (-2,2) and (-2,6) respectively, find the equation of
the circle in the form ax2 + by2 + cx + dy + e = 0
Date posted:
April 30, 2019
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Answers (1)
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Expand and simplify (2 – y)5 and use the first four terms to find the approximate value of (1.8)5 to 2 decimal places.
(Solved)
Expand and simplify (2 – y)5 and use the first four terms to find the approximate value of (1.8)5 to 2 decimal places.
Date posted:
April 30, 2019
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Answers (1)
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Points P(2,3) and Q (4,5) are mapped into P1(12,14) and Q1 (22,24) respectively by a transformation matrix T. Find the matrix T.
(Solved)
Points P(2,3) and Q (4,5) are mapped into P1(12,14) and Q1 (22,24) respectively by a transformation matrix T. Find the matrix T.
Date posted:
April 30, 2019
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Answers (1)
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Given that Sin theta =5/13,determine the value of tan (90 - theta) without using a calculator or mathematical tables.
(Solved)
Given that Sin theta =5/13,determine the value of tan (90 - theta) without using a calculator or mathematical tables.
Date posted:
April 30, 2019
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Answers (1)
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The table below shows masses of marbles in a certain lab.
(Solved)
The table below shows masses of marbles in a certain lab.
Estimate the median using calculation.
Date posted:
April 30, 2019
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Answers (1)
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Simplify the fraction.
(Solved)
Simplify the fraction.
Date posted:
April 30, 2019
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Answers (1)
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The sides of a triangle were measured to 1dp as 6.4cm, 7.3cm and 8.2cm respectively. Calculate the percentage error
in its perimeter.
(Solved)
The sides of a triangle were measured to 1dp as 6.4cm, 7.3cm and 8.2cm respectively. Calculate the percentage error in its perimeter.
Date posted:
April 30, 2019
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Answers (1)
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The velocity of a particle after t seconds is given by V = t2 – 4t + 4m/s. Determine the;
(Solved)
The velocity of a particle after t seconds is given by V = t2 – 4t + 4m/s. Determine the;
(a) initial velocity of the particle.
(b) time taken the particle is momentarily at rest.
(c) acceleration of the particle at t = 4.
(d) displacement of the between t = 1 seconds and t = 13 seconds.
Date posted:
April 30, 2019
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Answers (1)
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A,B,C and D are four schools where B is 84km north of A an C is on a bearing of N650W from A at a...
(Solved)
A,B,C and D are four schools where B is 84km north of A an C is on a bearing of N650W from A at a distance of 60km. D
is on a bearing of N200W from C and at a distance of 30km.Use a scale drawing to show relative positions of A,B,C and D using a scale of 1cm to represent 10km.
Find;
(a) the distance and bearing of B from C.
(b) the bearing and distance of D from B.
(c) the bearing of A and D.
Date posted:
April 30, 2019
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Answers (1)
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The length and the width of a rectangular are (6x-1) and (x – 2) respectively. If the length and width are each
increased by 4cm the...
(Solved)
The length and the width of a rectangular are (6x-1) and (x – 2) respectively. If the length and width are each
increased by 4cm the new area is thrice that of the initial rectangle.
The length and the width of a rectangular are (6x-1) and (x – 2) respectively. If the length and width are each
increased by 4cm the new area is thrice that of the initial rectangle.
(a) Find the dimension of the initial rectangle.
(b) By what percentage does the area of the rectangle increase after the change.
(c) What is the difference in size between the length and the width of the initial rectangle.
Date posted:
April 30, 2019
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Answers (1)