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The quantities P and Q are such that P varies partly as Q and partly as the square of Q. When q = 60 and...
(Solved)
The quantities P and Q are such that P varies partly as Q and partly as the square of Q. When q = 60 and when Q = 3, P
= 105.
a) Write the equation connecting P and Q.
b) Find the value of P when Q = 5
Date posted:
May 7, 2019
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Answers (1)
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a) Expand (1 – 2x)6 upto to the fourth term.
(Solved)
a) Expand (1 – 2x)6 upto to the fourth term.
b) Use the expansion in (a) above to find the value of (0.98)6 correct to 4 significant figures.
Date posted:
May 7, 2019
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Answers (1)
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The base and the height of a right angled triangle were measured as 4.34 cm and 8.25 cm respectively.Calculate the percentage error in the area...
(Solved)
The base and the height of a right angled triangle were measured as 4.34 cm and 8.25 cm respectively.Calculate the percentage error in the area of the triangle.
Date posted:
May 7, 2019
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Answers (1)
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Solve for x in the equation. Sin (2x – 10)0 = -0.5 for 00= x= 3600
(Solved)
Solve for x in the equation. Sin (2x – 10)0 = -0.5 for 00≤ x≤ 3600
Date posted:
May 7, 2019
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Answers (1)
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A point divides line PQ in the ratio 3: -2. Given that P = 2i -3j + k and Q = 3i -4j – 3k...
(Solved)
A point divides line PQ in the ratio 3: -2. Given that P = 2i -3j + k and Q = 3i -4j – 3k find the coordinates of T.
Date posted:
May 7, 2019
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Answers (1)
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Make x the subject of the formula
(Solved)
Make x the subject of the formula
Date posted:
May 7, 2019
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Answers (1)
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In the figure below, AT and AD are tangents to the circle at B and D respectively. DEF is a straight line, < ?????? =...
(Solved)
In the figure below, AT and AD are tangents to the circle at B and D respectively. DEF is a straight line, < 𝐶𝐵𝑇 = 600, 0 and < ADF = 420
Calculate giving reasons, the value of:
a) < DCE
b) c) d) e)
Date posted:
May 6, 2019
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Answers (1)
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A pole stands directly across the street from a building. The angle of depression of the top of the building from the top
of the pole...
(Solved)
A pole stands directly across the street from a building. The angle of depression of the top of the building from the top
of the pole is 24.50 and the angle of elevation of the top of the pole from the foot of the building is 48.60. Given that the
distance between the pole and the building is 50 m, calculate to 2 decimal places.
a) the height of the pole
b) the difference in height between the pole and the building.
c) the height of the building.
d) the angle of elevation of the top of the building from the top of the pole.
Date posted:
May 6, 2019
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Answers (1)
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A triangular plot PQR is such that PQ = 72m, QR = 80m and PR = 84m
(Solved)
A triangular plot PQR is such that PQ = 72m, QR = 80m and PR = 84m
calculate.
i) the area of the plot in square metres
ii) the largest angle in the triangle
iii) The perpendicular height from P to the side QR
Date posted:
May 6, 2019
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Answers (1)
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The velocity of a particle moving in a straight line after t seconds is given by V = 2t2 – t-6m/s. calculate
(Solved)
The velocity of a particle moving in a straight line after t seconds is given by V = 2t2 – t-6m/s. calculate
a) the acceleration of particle after 2 seconds
b) the distance covered during the third second.
c) the time when the particle will be momentarily at rest.
d) the minimum velocity attained.
Date posted:
May 6, 2019
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Answers (1)
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The figure below represents a solid cuboid ABCDEFGH with a rectangular base. AC = 13 cm, BC = 5 cm and CH = 15cm. M...
(Solved)
The figure below represents a solid cuboid ABCDEFGH with a rectangular base. AC = 13 cm, BC = 5 cm and CH = 15cm. M is the midpoint of GH.
a) Calculate the surface area of the cuboid
b) Calculate the angle between line AH and the base ABCD.
c) Calculate the angle between the base ABCD and the plane ADM
d) Calculate the angle between line AC and MF
Date posted:
May 6, 2019
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Answers (1)
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The line 2y – 4x -5 = 0 meets another line L at appoint where y = 4.5. Find the equation of L in the...
(Solved)
The line 2y – 4x -5 = 0 meets another line L at appoint where y = 4.5. Find the equation of L in the form y = mc+c if
the lines are perpendicular to each other.
Date posted:
May 6, 2019
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Answers (1)
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Given that sin ? =12/13,find without using mathematical tables or a calculator tan ( 90 – ?)0
(Solved)
Given that sin Ѳ =12/13,find without using mathematical tables or a calculator tan ( 90 – Ѳ)0
Date posted:
May 6, 2019
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Answers (1)
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A truck left Nairobi at 7a.m for Nakuru at an average speed of 60km/hr. At 8 a.m a bus left Nakuru for Nairobi at an
average...
(Solved)
A truck left Nairobi at 7a.m for Nakuru at an average speed of 60km/hr. At 8 a.m a bus left Nakuru for Nairobi at an
average speed of 120km/hr. How far from Nairobi did the vehicles meet if Nairobi is 160 km from Nakuru.
Date posted:
May 6, 2019
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Answers (1)
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The table below shows income tax rates for a certain year.
(Solved)
The table below shows income tax rates for a certain year.
A secondary school teacher was earning a monthly basic salary of Ksh. 55,480 house allowance of Kshs. 12,000 and a
commuter allowance of ksh. 8000. He was entitled to a personal relief of Kshs. 1162 per month.
a) Calculate
i) The teacher’s taxable income.
ii) The teacher’s net monthly tax.
b) In addition to the tax the other deductions were per month as follows:
- Cooperative loan Ksh. 10,000
- Co-operative shares Ksh. 2,000
- Window and children’s pensions scheme at 2% of the basic salary.
Calculate the teacher’s net monthly pay.
Date posted:
May 6, 2019
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Answers (1)
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In a transformation, an object with area 9cm2 is mapped onto an image whose area is 54cm2. Given that the matrix of transformation is
(Solved)
In a transformation, an object with area 9cm2 is mapped onto an image whose area is 54cm2. Given that the matrix of transformation is 
find the value of x.
Date posted:
May 6, 2019
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Answers (1)
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The table shows the frequency distribution of marks scored by students in a test.
(Solved)
The table shows the frequency distribution of marks scored by students in a test.
Determine the median mark correct to one decimal point.
Date posted:
May 6, 2019
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Answers (1)
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The percentage marks obtained by 40 students in a test are as under:
85, 30, 49, 62, 17, 84, 24, 15, 82, 61, 74, 38, 27,...
(Solved)
The percentage marks obtained by 40 students in a test are as under:
85, 30, 49, 62, 17, 84, 24, 15, 82, 61, 74, 38, 27, 13, 44, 72, 61, 49, 38, 23,
90, 32, 67, 18, 45, 58, 22, 46, 37, 39, 43, 55, 62, 30, 46, 59, 41, 26, 34 and 47.
a) Prepare a grouped frequency table from the above data using a class width of 10.
b) Use 49.5 as the working mean and estimate the mean from the grouped frequency table.
c) Prepare a cumulative frequency table and draw the cumulative frequency curve on the grid of squares provided.
Date posted:
May 6, 2019
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Answers (1)
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Use this velocity - time graph which represents the motion of a car for 10 seconds, to find:
(Solved)
Use this velocity - time graph which represents the motion of a car for 10 seconds, to find:
a) The rate of acceleration.
b) The rate of retardation.
c) The total distance travelled.
d) The total distance travelled during the first 4 seconds.
e) The average speed maintained during this journey.
f) The distance travelled at the constant speed.
Date posted:
May 6, 2019
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Answers (1)
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A line T passes through points (-3, -5) and (3, -6) and is perpendicular to a line l at (-2, -2).
(Solved)
A line T passes through points (-3, -5) and (3, -6) and is perpendicular to a line l at (-2, -2).
a) Find the equation of l.
b) Find the equation of T in the form ax + by = c where a, b and c are constants.
c) Given that another line Q is parallel to T and passes through (1, -3) find x and y intercepts of Q.
d) Find the points of intersection of L and Q.
Date posted:
May 6, 2019
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Answers (1)