- The positions of three ports in the Indian Ocean are p (400N, 300W) Q(400N, 200E) and R (360S,300W) respectively.(Solved)
The positions of three ports in the Indian Ocean are p (400N, 300W) Q(400N, 200E) and R (360S,300W) respectively.
(a) Find the distance in nautical miles to the nearest nm between:
(i) Ports p and Q
(ii) Ports P and R
(b) A ship left port P on Tuesday 1430 hours and sailed to port Q at 20 knots.
Calculate:
(i) The local time at port Q when the ship left port P
(ii) The day and time the ship arrived at port Q
Date posted: May 6, 2019. Answers (1)
- The table below gives marks scored by candidates in a mathematics test.(Solved)
The table below gives marks scored by candidates in a mathematics test.
(a) Using an assumed mean of 25.5, calculate the mean mark.
(b) Estimate the median mark.
(c) Calculate the standard deviation of the marks
Date posted: May 6, 2019. Answers (1)
- Given the series 3 + 9 + 15 + 21 + 27 + ……………………………….. find the number of the terms that will given a sum...(Solved)
Given the series 3 + 9 + 15 + 21 + 27 + ……………………………….. find the number of the terms that will given a sum of 432
Date posted: May 6, 2019. Answers (1)
- The eleventh term of an arithmetic progression is four times its second term. The sum of the first seven terms of
the same progression is 175.Find...(Solved)
The eleventh term of an arithmetic progression is four times its second term. The sum of the first seven terms of
the same progression is 175.Find the first term and the common difference of the progression
Date posted: May 6, 2019. Answers (1)
- The figure below represents a rectangular based pyramid VABCD. AB = 16cm and AD = 20cm. Point O is vertically
below V and VA = 30cm.(Solved)
The figure below represents a rectangular based pyramid VABCD. AB = 16cm and AD = 20cm. Point O is vertically
below V and VA = 30cm.
Calculate:
(a) The height, VO, of the pyramid
(b) The angle between the edge VA and the plane ABCD
(c) The angle between the planes VAB and ABCD.
Date posted: May 6, 2019. Answers (1)
- In the figure below XC is a tangent to the circle ABYC at C and Y is the midpoint of arc BC.(Solved)
In the figure below XC is a tangent to the circle ABYC at C and Y is the midpoint of arc BC.
If angle BXC = 280 and angle BCA = 2 angle ACX.
Find, giving reasons for your answer:
(a) (i) angle CBA
(ii) angle CBY
(iii)angle BYC
(b) Given that AX = 10cm and XC = 12cm, calculate the length of BX
Date posted: May 6, 2019. Answers (1)
- Obtain the centre and radius of a circle represented by the equation:
x2 + y2 + 4x – 10y – 7 = 0(Solved)
Obtain the centre and radius of a circle represented by the equation:
x2 + y2 + 4x – 10y – 7 = 0
Date posted: May 6, 2019. Answers (1)
- (a) Expand:
(2 + x)5 up to the term containing x3(Solved)
(a) Expand:
(2 + x)5 up to the term containing x3
(b) Use the expansion in (a) above to the find the approximate value of (1.99)5 correct to three decimal places.
Date posted: May 6, 2019. Answers (1)
- A tea blender buys two grades of tea at Sh. 60 and Sh. 80 per packet. Find the ratio in which she 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 she should mix them so
that by selling the mixture at Sh. 90, a profit of 20% is realized.
Date posted: May 6, 2019. Answers (1)
- Three quantities; P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
If...(Solved)
Three quantities; P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
If P = 6 when Q = R and R = 25. Find the value of P when Q = 15 and R = 81.
Date posted: May 6, 2019. Answers (1)
- The figure shows a circle centre O. The line AB = 14cm is a tangent to the circle such that OA = OB and angle...(Solved)
The figure shows a circle centre O. The line AB = 14cm is a tangent to the circle such that OA = OB and angle OAB = 1200.
Calculate the radius of the circle.
Date posted: May 6, 2019. Answers (1)
- Without using a calculator or mathematical tables, express the expression below in surd form.(Solved)
Without using a calculator or mathematical tables, express the expression below in surd form.
Date posted: May 6, 2019. Answers (1)
- Solve for x in
9x + 32x-3 = 51(Solved)
Solve for x in
9x + 32x-3 = 51
Date posted: May 6, 2019. Answers (1)
- A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25 litres. If the larger tank has a...(Solved)
A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25 litres. If the larger tank has a height
of 10cm. Calculate the height of the model tank, to the nearest cm.
Date posted: May 6, 2019. Answers (1)
- There are two boxes labeled A and B on a table. Box A contains 5 red balls and 3 white balls, while box B contains...(Solved)
There are two boxes labeled A and B on a table. Box A contains 5 red balls and 3 white balls, while box B contains 2 red
balls and 6 white balls. A box is chosen at a random and two balls are drawn from it, one after the other without
replacement. Find the probability that the two balls chosen are of different colours
Date posted: May 6, 2019. Answers (1)
- If (x+y) : (x-y)=8:3 find the ratio x:y(Solved)
If (x+y) : (x-y)=8:3 find the ratio x:y
Date posted: May 6, 2019. Answers (1)
- Given that the matrix (Solved)
Given that the matrix
(a) Determine M2
(b)Determine the possible pairs of values of a and b,
If
Date posted: May 6, 2019. Answers (1)
- The first three consecutive terms of a geometric progression are:
2, x and 8. Find the value of x(Solved)
The first three consecutive terms of a geometric progression are:
2, x and 8. Find the value of x
Date posted: May 6, 2019. Answers (1)
- Make y the subject of the formula in(Solved)
Make y the subject of the formula in
Date posted: May 6, 2019. Answers (1)
- Simplify the expression:
(3x – 2y)(2x + 3y)-5xy
Hence factorize your answer(Solved)
Simplify the expression:
(3x – 2y)(2x + 3y)-5xy
Hence factorize your answer
Date posted: May 6, 2019. Answers (1)