- Two tanks of equal volume are connected in such a way that one tank can be filled by pipe A in 1 hour 20 minutes....(Solved)
Two tanks of equal volume are connected in such a way that one tank can be filled by pipe A in 1 hour 20 minutes. Pipe
B can drain one tank in 3hours 36 minutes but pipe C alone can drain both tanks in 9 hours. Calculate:
(a) The fraction of one tank that can be filled by pipe A in one hour.
(b) The fraction of one tank that can be drained by both pipes B and C in one hour.
(c) Pipe A closes automatically once both tanks are filled. Assuming that initially both tanks are empty and all pipes
opened at once, calculate how long it takes before pipe A closes.
Date posted: April 30, 2019. Answers (1)
- In the figure below, PQRST right pyramid on a rectangular base. Point O is vertically below P, QR = 24cm, RS = 10cm
and RP =...(Solved)
In the figure below, PQRST right pyramid on a rectangular base. Point O is vertically below P, QR = 24cm, RS = 10cm
and RP = 26cm. Calculate the angle the plane RSP makes with the base.
Date posted: April 30, 2019. Answers (1)
- An object of an area 4cm2 is mapped onto an area 64cm2 under the transformation of matrix below. Find the possible values of n.(Solved)
An object of an area 4cm2 is mapped onto an area 64cm2 under the transformation of matrix below. Find the possible values of n.
Date posted: April 30, 2019. Answers (1)
- If r = 3i – j + k and t = j + 2k. P = r -2t find |P| to 4 s.f.(Solved)
If r = 3i – j + k and t = j + 2k. P = r -2t find |P| to 4 s.f.
Date posted: April 30, 2019. Answers (1)
- Give that x2 + 6x +y2 – 8y - 11= 0 is the equation of a circle, find the centre and the radius of the...(Solved)
Give that x2 + 6x +y2 – 8y - 11= 0 is the equation of a circle, find the centre and the radius of the circle.
Date posted: April 30, 2019. Answers (1)
- Find the equation of the normal of the curve. y = x5 + 3x2 + 5x at the point (1,3)(Solved)
Find the equation of the normal of the curve. y = x5 + 3x2 + 5x at the point (1,3)
Date posted: April 30, 2019. Answers (1)
- Without using a calculator or mathematical tables, express;(Solved)
Without using a calculator or mathematical tables, express;
in surd form and simplify Leaving your answer in the form a+ b √c where a, b, and c are rational numbers.
Date posted: April 30, 2019. Answers (1)
- a) Expand and simplify the binominal expression ( 2+ 2y)5 in ascending powers of y (Solved)
a) Expand and simplify the binominal expression ( 2+ 2y)5 in ascending powers of y
b) Use the expansion up to the fourth term to evaluate (2.02)5 correct to 4 decimal places.
Date posted: April 30, 2019. Answers (1)
- A shear parallel to the x-axis maps point (1,2) onto a point (5, 2) .Determine the shear factors and hence state the shear matrix (invariant...(Solved)
A shear parallel to the x-axis maps point (1,2) onto a point (5, 2) .Determine the shear factors and hence state the shear matrix (invariant line is y = 0)
Date posted: April 30, 2019. Answers (1)
- Two grades of Kenyan coffee costing sh. 200 and sh. 250 per kg respectively are mixed in the ratio 3:5 by weight. The
mixture is then...(Solved)
Two grades of Kenyan coffee costing sh. 200 and sh. 250 per kg respectively are mixed in the ratio 3:5 by weight. The mixture is then sold at ksh. 240 per kg. Find the percentage profit on the cost.
Date posted: April 30, 2019. Answers (1)
- In the diagram below, X is the point of intersection of the chords AC and BD of the circle such that AX = 8cm, XC...(Solved)
In the diagram below, X is the point of intersection of the chords AC and BD of the circle such that AX = 8cm, XC = 4cm
and XD = 6cm.
(a) Find the length of XB.
(b) Given that the area of triangle AXD = 6cm2. Find the area of triangle BXC.
Date posted: April 30, 2019. Answers (1)
- Without using tables or calculator, solve for x.(Solved)
Without using tables or calculator, solve for x.
Date posted: April 30, 2019. Answers (1)
- Find the range of value of(Solved)
Find the range of value of
Date posted: April 30, 2019. Answers (1)
- Use logarithms in all steps to evaluate:(Solved)
Use logarithms in all steps to evaluate:
Date posted: April 30, 2019. Answers (1)
- Matrix T is given by;(Solved)
Matrix T is given by;
a) Find T-1
b) Aquinas High School purchased 8 bags of rice and 14 bags of sugar for sh. 106,000.Buru Buru Girls High school
purchased 10 bags of rice and 10 bags of sugar for sh. 95,000. Each bag of rice cost Sh.R and a bag of sugar coat
sh. S.
i) Form matrix equation to represent the information above
ii) Use the matrix T-1 to find the prices of one bag of each item.
c) The price of beans later went up by 5% and that of sugar remained constant. Buru Buru Girls bought the same
quantity of rice but spent total amount of sh. 87,250 on the two items. State the new ratio of rice to sugar.
Date posted: April 30, 2019. Answers (1)
- The diagram below shows a histogram representing marks obtained in maths test by form one of St. Teresa Boys
Secondary school(Solved)
The diagram below shows a histogram representing marks obtained in maths test by form one of St. Teresa Boys
Secondary school
a) Develop a frequency distribution table for the data
b) State the modal frequency.
c) Estimate the mean using and assumed mean of 33
Date posted: April 30, 2019. Answers (1)
- Kamdara and Jet are two towns 320 kilometres apart. A bus left A at 8.00 am travelling at 60km/h for town B. After
forty minutes, a...(Solved)
Kamdara and Jet are two towns 320 kilometres apart. A bus left A at 8.00 am travelling at 60km/h for town B. After
forty minutes, a saloon car left A travelling in the same direction as the bus at a speed of 80km/h.
a) How far from B did the saloon car catch up with the bus?
b) At what time did it catch up with the bus?
c) When the saloon caught up with the bus it got a break – down and had to be repaired before proceeding to B at the
same speed. If they both reached at B at the same time, find how long it took to repair the saloon?
Date posted: April 30, 2019. Answers (1)
- a) Draw on graph paper triangle ABC, whose vertices are A(0,12), B(6,0) and C(12,18). Draw the line of symmetry
for triangle ABC and write down its...(Solved)
a) Draw on graph paper triangle ABC, whose vertices are A(0,12), B(6,0) and C(12,18). Draw the line of symmetry
for triangle ABC and write down its equation
b) Draw A’B’C’, the image of ABC, under reflection in the line y - x = 0
c) Write down the coordinates of the two points which are invariant under this transformation
d) Determine the centre of rotation which maps A’B’C’ onto ACB
Date posted: April 30, 2019. Answers (1)
- The height of a wooden solid cone is 45cm and its curved surface area is four times the area of the base. Calculate:(Solved)
The height of a wooden solid cone is 45cm and its curved surface area is four times the area of the base. Calculate:
a) The radius of of the base
b) The total surface area of the cone.
c) The volume of the cone
Date posted: April 30, 2019. Answers (1)
- An enlargement with centre (-2,3) maps (1,0) onto (4,-3). What is the image of (-3,-6) with the same centre of enlargement(Solved)
An enlargement with centre (-2,3) maps (1,0) onto (4,-3). What is the image of (-3,-6) with the same centre of enlargement
Date posted: April 30, 2019. Answers (1)