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- The frequency table below shows the masses in kg of 200 animals in a herd.(Solved)
The frequency table below shows the masses in kg of 200 animals in a herd.
(a) Find the size of the modal class.
(b) Calculate the mean mass.
(c) Draw a histogram to represent the above information.
Date posted: August 26, 2019.
- Mr. Kamau, a salesman is paid a commission of 6% on goods worth over sh. 600,000. In additionhe is paid a monthly salary of sh....(Solved)
Mr. Kamau, a salesman is paid a commission of 6% on goods worth over sh. 600,000. In addition he is paid a monthly salary of sh. 35,000.
(a) Calculate his total earnings in a month when his total sales was sh. 750,000.
(b) In the following month, the rate of commission was changed to x% but his monthly salary remained the same. If Mr. Kamau received a total monthly earning of sh. 100,000 for selling goods worth the same amount, find the value of x.
(c) If the rate of commission in (b) above was reduced in the ration 3:4 and his monthly increased by 10%, find the percentage change in his total monthly earnings for selling the same amount of goods.
Date posted: August 26, 2019.
- Given Sin 2x0 = Cos (3x-100), find the value of x.(Solved)
Given Sin 2x0 = Cos (3x-100), find the value of x.
Date posted: August 26, 2019.
- Find the reciprocal of 2.095 using the tables of reciprocals.Hence evaluate
without using mathematical tables or calculator.(Solved)
Find the reciprocal of 2.095 using the tables of reciprocals.Hence evaluate
without using mathematical tables or calculator.
Date posted: August 26, 2019.
- On a market day, Amina bought 2 bags of potatoes and 3 bags of carrots at a total cost of sh.3,450. Wanja bought 3 bags...(Solved)
On a market day, Amina bought 2 bags of potatoes and 3 bags of carrots at a total cost of sh.3,450. Wanja bought 3 bags of potatoes and 2 bags of carrots but paid sh. 150 less than Amina. Find the cost of 1 bag of each item.
Date posted: August 26, 2019.
- A Japanese tourist visiting Kenya changed 1,307,000 Yen into Kenya shillings. While in Kenya hespent Ksh. 560,000 and converted the rest to sterling pounds as...(Solved)
A Japanese tourist visiting Kenya changed 1,307,000 Yen into Kenya shillings. While in Kenya he spent Ksh. 560,000 and converted the rest to sterling pounds as he headed back to the U.K.
Calculate the amount he got to the nearest pound if the bank buys and sells currency as shown
below.
![Q132682019821.png](/questions/uploads/Q132682019821.png)
Date posted: August 26, 2019.
- An open cylindrical concrete water tank has an external diameter of 1.2m and an external height of 1.5m. The thickness of the concrete is 8cm. Calculate...(Solved)
An open cylindrical concrete water tank has an external diameter of 1.2m and an external height of 1.5m. The thickness of the concrete is 8cm. Calculate the volume of the concrete making the tank. Give your answer in m3
Date posted: August 26, 2019.
- Find the range of values of x which satisfy the inequalities(Solved)
Find the range of values of x which satisfy the inequalities
![Q112482019538.png](/questions/uploads/Q112482019538.png)
Date posted: August 24, 2019.
- The equation of a line L1 is
Find the equation of a line perpendicular to L1 which passes through (1,2).(Solved)
The equation of a line L1 is
Find the equation of a line perpendicular to L1 which passes through (1,2).
Date posted: August 24, 2019.
-
The position vectors of P and Q with respect to the origin are
respectively.Point...(Solved)
The position vectors of P and Q with respect to the origin are
respectively.Point T lies on PQ such that 3PT = PQ. Determine the coordinates of T.
Date posted: August 24, 2019.
- Find the value of x in the equation(Solved)
Find the value of x in the equation
![Q72482019505.png](/questions/uploads/Q72482019505.png)
Date posted: August 24, 2019.
- The triangle ABC below has dimensions as shown.(Solved)
The triangle ABC below has dimensions as shown.
(a) Calculate to 4 significant figures, the area of the triangle
(b) Find to one decimal place the length of the perpendicular from A to BC.
Date posted: August 24, 2019.
- Simplify fully the expression(Solved)
Simplify fully the expression:![Q52482019450.png](/questions/uploads/Q52482019450.png)
Date posted: August 24, 2019.
- A solid metal pyramid has a square abase of side 3 cm and a mass of 54kg. Find the mass of asimilar pyramid whose base...(Solved)
A solid metal pyramid has a square abase of side 3 cm and a mass of 54kg. Find the mass of a similar pyramid whose base is a square of side 6 cm.
Date posted: August 24, 2019.
- The size of an interior angle of a regular polygon is 3 ½ times that of its exterior angle. Determine the sum of the interior angles...(Solved)
The size of an interior angle of a regular polygon is 3 ½ times that of its exterior angle. Determine the sum of the interior angles of this polygon.
Date posted: August 24, 2019.
- A farmer has two water tanks, one of capacity 200 litres and the other 360 litres. The farmer uses the same container to fill each...(Solved)
A farmer has two water tanks, one of capacity 200 litres and the other 360 litres. The farmer uses the same container to fill each of the two tanks in an exact number of times. Find the least possible number of times it would take to fill both tanks.
Date posted: August 24, 2019.
- Without using a calculator evaluate.(Solved)
Without using a calculator evaluate.![Q2482019428.png](/questions/uploads/Q2482019428.png)
Date posted: August 24, 2019.
- Solve the equation:(Solved)
Solve the equation:![Q222482019358.png](/questions/uploads/Q222482019358.png)
Date posted: August 24, 2019.
- Simplify:(Solved)
Simplify:![Q62482019317.png](/questions/uploads/Q62482019317.png)
Date posted: August 24, 2019.
- Solve for x in the equation:(Solved)
Solve for x in the equation:![Q42482019308.png](/questions/uploads/Q42482019308.png)
Date posted: August 24, 2019.
- Evaluate:(Solved)
Evaluate:
Date posted: August 24, 2019.
- (a) Using the trapezium rule with intervals of 0.5 of a unit, estimate the area of theregion bounded by the curvey = 4x3 + 2x2...(Solved)
(a) Using the trapezium rule with intervals of 0.5 of a unit, estimate the area of the region bounded by the curve
y = 4x3 + 2x2 – 5, the lines y = 0, x = 1 and x = 3
(b) Calculate:
(i) The area of the region in (a) above by integration
(c) Express the error in (a) above as a percentage of the area obtained in (b) above
Date posted: August 24, 2019.
- A Kenyan company received US Dollars 150,000. The money was converted into Kenya shillings in a bank which buys and sells foreign currencies as follows:(Solved)
A Kenyan company received US Dollars 150,000. The money was converted into Kenya shillings in a bank which buys and sells foreign currencies as follows:
a) Calculate the amount of money, in Kenya shillings, the company received
b) The company exchanged the Kenya shillings calculated in (a) above, into sterling pounds to buy a car from Britain. Calculate the cost of the car to the nearest sterling pound.
Date posted: August 24, 2019.
- Simplify the expression(Solved)
Simplify the expression
![Q62482019145.png](/questions/uploads/Q62482019145.png)
Date posted: August 24, 2019.
- A particle moves a long straight line such that its displacement S meters from a given point is
S = t3 – 6t2 + 2t +...(Solved)
A particle moves a long straight line such that its displacement S meters from a given point is
S = t3 – 6t2 + 2t + 3 where t is the time in seconds. Find;
a)The displacement of the particle at t= 3
b) The velocity of the particle where t = 4.
c) The value of t when the particle is momentarily at rest.
d) The acceleration of the particle when t= 4.
Date posted: August 23, 2019.
- In the figure below (not drawn to scale) AB = 8cm, AC = 6cm, AD = 7cm, CD = 2.82cm and angle CAB = 50º.(Solved)
In the figure below (not drawn to scale) AB = 8cm, AC = 6cm, AD = 7cm, CD = 2.82cm and angle CAB = 50º.
Calculate to 2 decimal places;
a) The length BC
b) The size of angle ABC
c) The size of angle CAD
d)The area of triangle ACD
Date posted: August 23, 2019.
- A manufacture has 720 and 840 kilogram of Arabica and Robusta coffee to make two brands of coffee A and B. To make brand A...(Solved)
A manufacture has 720 and 840 kilogram of Arabica and Robusta coffee to make two brands of coffee A and B. To make brand A he mixes 60% of Arabica with 40 % of Robusta coffee. To make brand B he mixes 30% of Arabica with70% of Robusta coffee.
Brand A coffee to brand B must not be less than 3:5
(a) Write down the inequalities representing the information above
(b) Draw the inequalities on the grid provided
c) Determine the maximum possible profit of the manufacturer if he sold each kilogram of A and B at a profit of Ksh 200 and Ksh 300 respectively. Note that the coffee was packed in tins of 1 kg only.
Date posted: August 23, 2019.
- The figure below is a pyramid of rectangular base ABCD of length 12 cm and width 9cm.The slanting edge has a length of 19.5cm
a) Determine...(Solved)
The figure below is a pyramid of rectangular base ABCD of length 12 cm and width 9cm.The slanting edge has a length of 19.5cm
a) Determine the height of the pyramid
b) The angle AE makes with base ABCD
c) The angle AED makes with BEC
d) The volume of the pyramid
Date posted: August 23, 2019.
- The marks obtained by 10 students in a maths test were
25, 24, 22, 23, x, 26, 21, 23, 22, and 27
The sum of the squares...(Solved)
The marks obtained by 10 students in a maths test were
25, 24, 22, 23, x, 26, 21, 23, 22, and 27
The sum of the squares of the marks is 5154.
Calculate the
(i) Value of x
(ii) Standard deviation
(b) If each mark is increased by 3, write down the
(i) New mean
(ii) New standard deviation
Date posted: August 23, 2019.
- Calculate the equation of the normal to the curve y = 3x2- 4x + 5 at the point (1,4)(Solved)
Calculate the equation of the normal to the curve y = 3x2- 4x + 5 at the point (1,4)
Date posted: August 23, 2019.