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The diagram below shows a right pyramid on square base ABCD and vertex V. O is the centre of the base AB = 14cm.
VA =...
(Solved)
The diagram below shows a right pyramid on square base ABCD and vertex V. O is the centre of the base AB = 14cm.
VA = 20cm and N is the midpoint of BC
Find
(a) the height of the pyramid
(b) the length VN
(c) the angle between
(i) BV and the plane ABCD
(ii) VO and the plane BVC
(d) Calculate the volume of the pyramid.
Date posted:
May 10, 2019
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Answers (1)
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A number is selected from 2, 5, 7, 9, 11, 13 and pared with another number selected from 4, 6, 8, 10, 12, 14.
(Solved)
A number is selected from 2, 5, 7, 9, 11, 13 and pared with another number selected from 4, 6, 8, 10, 12, 14.
(a) Construct a table sharing how the numbers are paired.
(b) Find the probability that the sum of the selected numbers is even.
(c) Find the probability that the sum is a prime number and also add.
(d) Find the probability that the sum is greater than 15.
Date posted:
May 10, 2019
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Answers (1)
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The table below shows income tax rates.
(Solved)
The table below shows income tax rates.
A company employee earns a monthly salary Kshs 32,000 and is also given a taxable house allowance amounting to
Kshs 1784 per month.
(a) Calculating his total income tax in K£ per month.
(b) The employee is entitled to a personal relief of Kshs 1700 per month determine his tax.
(c) If the employee is entitled to a personal relief of Kshs 1700 per month determine his tax.
Date posted:
May 10, 2019
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Answers (1)
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The pth term of a sequence is given by 2p + 3
(Solved)
The pth term of a sequence is given by 2p + 3
(a) Write down the first five terms of the sequence.
(b) Find S50 , the sum of the first fifty terms of the sequence.
(c) Show that sum of the first P terms of the sequence is given by Sp = p² + 4p.
Hence or otherwise find the largest integral value of P such that Sp < 725
Date posted:
May 10, 2019
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Answers (1)
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The position of the two towns P and Q on the earths surface are (60°N 139°E) and (60°N, 41°W) respectively.
(Solved)
The position of the two towns P and Q on the earths surface are (60°N 139°E) and (60°N, 41°W) respectively.
a) Find the latitude difference between P and Q.
(b) i) Given that the radius of the earth is 6370km, calculate the distance between P and Q (i) via the North pole.
(ii) Along the parallel of latitude.
(c) Another town R is 420km east of town P and on the same latitude as P and Q. Find the longitude of town R.
Date posted:
May 10, 2019
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Answers (1)
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The table below shows the distribution of marks of 50 students in an opener examination.
(Solved)
The table below shows the distribution of marks of 50 students in an opener examination.
(a) i) Find the value of y.
(ii) State the modal class.
(b) Using an assumed mean of 45.5 find the mean.
(c) Calculate
(i) Variance.
(ii) Standard deviation.
Date posted:
May 10, 2019
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Answers (1)
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Make P the subject of the formula.
(Solved)
Make P the subject of the formula.
Date posted:
May 10, 2019
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Answers (1)
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In the figure below lines ABC and DC are tangents ot the circle at B and D respectively.
(Solved)
In the figure below lines ABC and DC are tangents ot the circle at B and D respectively.
(a) Angle CBD
(b) Angle CDE
Date posted:
May 10, 2019
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Answers (1)
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A book and a ruler are sold at a discount of 8% and 3% respectively. Calculate the overall discount offered on the two
commodities if the...
(Solved)
A book and a ruler are sold at a discount of 8% and 3% respectively. Calculate the overall discount offered on the two
commodities if the cost of the book is four times that of ruler.
Date posted:
May 10, 2019
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Answers (1)
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The graph below is part of the straight line graph obtained from the initial equation R = bZn.
(Solved)
The graph below is part of the straight line graph obtained from the initial equation R = bZn.
(a) Write down the equation of the straight line in the form.
y = m x + c
(b) Use the graph to calculate the values of b and n
Date posted:
May 10, 2019
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Answers (1)
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Point A(3, 4) is mapped onto A1 (7, 8) by an enlargement scale factor 3, determine the centre of enlargement.
(Solved)
Point A(3, 4) is mapped onto A1 (7, 8) by an enlargement scale factor 3, determine the centre of enlargement.
Date posted:
May 10, 2019
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Answers (1)
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Solve for m in the given equation
(Solved)
Solve for m in the given equation
Date posted:
May 10, 2019
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Answers (1)
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In the diagram below OA = a OB = b and c divides AB in the ratio 3 : -1. Find OC
(Solved)
In the diagram below OA = a OB = b and c divides AB in the ratio 3 : -1. Find OC
Date posted:
May 10, 2019
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Answers (1)
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Find the value of the following;
(Solved)
Find the value of the following;
Date posted:
May 10, 2019
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Answers (1)
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Find the radius and centre of a circle whose equation is,
3x² + 3y² - 12x + 18y = 9
(Solved)
Find the radius and centre of a circle whose equation is,
3x² + 3y² - 12x + 18y = 9
Date posted:
May 10, 2019
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Answers (1)
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A quantity y is partly constant and partly varies as x. If x = 7, y = 4 and x = 16, y = 40....
(Solved)
A quantity y is partly constant and partly varies as x. If x = 7, y = 4 and x = 16, y = 40. Find the equation connecting x
and y . Find the value of x when y = 30.
Date posted:
May 10, 2019
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Answers (1)
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The sum of the first three positive numbers of a Geometric progression is 3. If the first term is three times the second
term, find the...
(Solved)
The sum of the first three positive numbers of a Geometric progression is 3. If the first term is three times the second
term, find the three numbers.
Date posted:
May 10, 2019
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Answers (1)
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Use mathematical tables to evaluate.
(Solved)
Use mathematical tables to evaluate.
Date posted:
May 10, 2019
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Answers (1)
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A sales man is paid a commission of 2% on goods worth over kshs 100,000. He is also paid a monthly salary of Kshs
12000. In...
(Solved)
A sales man is paid a commission of 2% on goods worth over kshs 100,000. He is also paid a monthly salary of Kshs
12000. In certain month, he sold 360 handbags at Kshs 500 each.
(a) Calculate the salesman's earnings that month.
(b) The following month, the salesman's monthly salary was increased by 10%. His total earnings that month was shs
17600 Calculate:
(i) the total amount of money received from the sales of handbags that month.
(ii) the total number of handbags sold that month.
Date posted:
May 10, 2019
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Answers (1)
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A bus left Mombasa and travelled towards Nairobi at an average speed of 60km/h. After 2½hours, a car left Mombasa
and travelled along the same road...
(Solved)
A bus left Mombasa and travelled towards Nairobi at an average speed of 60km/h. After 2½hours, a car left Mombasa
and travelled along the same road at an average speed of 100km/h. If the distance between Mombasa and Nairobi is
500km, determine:
(a) (i) the distance of the bus from Nairobi when the car took off.
(ii) the distance the car travelled to catch up with the bus.
(b) Immediately the car caught up with the bus, the car stopped for 25 minutes. Find the new average sped at which
the car travelled in order to reach Nairobi at the same time as the bus.
Date posted:
May 10, 2019
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Answers (1)