- 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)
- Use logarithm tables to evaluate(Solved)
Use logarithm tables to evaluate
Correct to 3 significant figures
Date posted: May 6, 2019. Answers (1)
- A survey recorded the measurement of a field book using XY = 400m as the base line as shown below.(Solved)
A survey recorded the measurement of a field book using XY = 400m as the base line as shown below.
Find the area of the field in hectares.
Date posted: May 6, 2019. Answers (1)
- A piece of wire can be folded into a rectangle whose dimensions are such that its length is 3cm longer than the width.
The area of...(Solved)
A piece of wire can be folded into a rectangle whose dimensions are such that its length is 3cm longer than the width.
The area of the rectangle so formed is 28m2.
(a) Determined
(i) The dimensions of the rectangle
(ii) The perimeter of the rectangle
(b) The wire can also be folded into a circle. Taking 𝜋 =22/7.Find the radius of the circle and hence calculate its area.
Date posted: May 6, 2019. Answers (1)
- The diagram below shows a frustum which represents a bucket with an open top diameter of 30cm and a bottom
diameter of 24cm. The bucket is...(Solved)
The diagram below shows a frustum which represents a bucket with an open top diameter of 30cm and a bottom
diameter of 24cm. The bucket is 30cm deep and it is used to fill an empty cylindrical tank of diameter 1.4m and height
of 1.2m.
(a) Leaving your answer in terms of 𝜋 calculate
(i) The capacity of the bucket in litres
(ii) The capacity of the tank in litres
(b) Determine the number of bucket that must be drawn in order to fill that tank
Date posted: May 6, 2019. Answers (1)