- The quantities P, Q and R are such that P varies directly as Q and inversely as the square of R. Given that P =...(Solved)
The quantities P, Q and R are such that P varies directly as Q and inversely as the square of R. Given that P = 2 when Q = 12 and R = 6. Determine the equation connecting the three.
Date posted: May 6, 2019. Answers (1)
- In the figure below PQR is the diameter of the circle centre O. Angle QPR = 200 and angle QTR = 800(Solved)
In the figure below PQR is the diameter of the circle centre O. Angle QPR = 200 and angle QTR = 800
Determine the size of
a) Reflex angle POS
b) Angle OSQ
Date posted: May 6, 2019. Answers (1)
- The first term of an arithmetic sequence is 5 and the common difference is 2.(Solved)
The first term of an arithmetic sequence is 5 and the common difference is 2.
a) List the first six terms of the sequence.
b) Determine the sum of the first 40 terms of the sequence.
Date posted: May 6, 2019. Answers (1)
- The length of two similar iron bars A and B were given as 10.5m and 8.2m. Calculate the maximum possible difference
in length between the two...(Solved)
The length of two similar iron bars A and B were given as 10.5m and 8.2m. Calculate the maximum possible difference
in length between the two bars.
Date posted: May 6, 2019. Answers (1)
- The figure below shows a right pyramid VEFGHK. The base EFGHK is a regular pentagon. EO = 7cm and VE = 12cm.(Solved)
The figure below shows a right pyramid VEFGHK. The base EFGHK is a regular pentagon. EO = 7cm and VE = 12cm.
Calculate
a) The perimeter of the base to 2 decimal places.
b) The length VO to 2 decimal places.
c) The angle which edge VF makes with the edge FE.
d) The volume of the pyramid to 2 decimal places
Date posted: May 6, 2019. Answers (1)
- The figure below represents a game sanctuary in the shape of a quadrilateral in which AB = 30km,AE = 20km and CE = 45km (Solved)
The figure below represents a game sanctuary in the shape of a quadrilateral in which AB = 30km,AE = 20km and CE = 45km 0, 0 and 0.
Calculate
a) The side BC correct to 2 decimal places.
b) The angle ABE to 1 decimal place.
c) The area of the game sanctuary in hectares correct to 2 decimal places.
Date posted: May 6, 2019. Answers (1)
- A calf runs in a straight line towards a cow with a velocity of vm/s after t seconds given by v = t (8 -...(Solved)
A calf runs in a straight line towards a cow with a velocity of vm/s after t seconds given by v = t (8 - t).
a) Complete the table below
b) Calculate the distance covered by the calf.
i) Using eight trapezia of equal width.
ii) Using the exact method.
Date posted: May 6, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- Maina can do a piece of work in 12 hours. Muthui can do it in 20 hours. How long would it take Muthui to complete...(Solved)
Maina can do a piece of work in 12 hours. Muthui can do it in 20 hours. How long would it take Muthui to complete the work if Maina has been working for 7 hours.
Date posted: May 6, 2019. Answers (1)
- A particle moving in a straight line has its displacement x metres from the origin O at time t seconds defined by the
equation x =...(Solved)
A particle moving in a straight line has its displacement x metres from the origin O at time t seconds defined by the
equation x = t3 - 6t2 + 7. Determine the values of t for which the particle is momentarily at rest.
Date posted: May 6, 2019. Answers (1)
- A point A (-1, 3) is mapped onto A1(8, 12). Fidn the centre of enlargement given that the scale factor is 2.(Solved)
A point A (-1, 3) is mapped onto A1(8, 12). Fidn the centre of enlargement given that the scale factor is 2.
Date posted: May 6, 2019. Answers (1)
- A major arc of a circle substends an angle of 2500 at the centre of a circle. If the radius of the circle is 9.8cm...(Solved)
A major arc of a circle substends an angle of 2500 at the centre of a circle. If the radius of the circle is 9.8cm find the area of the minor sector. (Use ๐ = 22/7)
Date posted: May 6, 2019. Answers (1)
- Solve 15 < 5 (3 - x) = 30 hence show your solution on a number line.(Solved)
Solve 15 < 5 (3 - x) โค 30 hence show your solution on a number line.
Date posted: May 6, 2019. Answers (1)
- Find the values of x for which A has no inverse.(Solved)
Find the values of x for which A has no inverse.
Date posted: May 6, 2019. Answers (1)
- Construct a DABC in which BC = 5cm, 0 and 0. From A drop a perpendicular to BC and measure its
length to the nearest mm.(Solved)
Construct a triangle ABC in which BC = 5cm, 0 and 0. From A drop a perpendicular to BC and measure its length to the nearest mm.
Date posted: May 6, 2019. Answers (1)
- The mass of a cylindrical metal rod of radius 14cm and height 10cm is 5.47kg. Find itโs density in g/cm3 to 2 decimal places.(Solved)
The mass of a cylindrical metal rod of radius 14cm and height 10cm is 5.47kg. Find itโs density in g/cm3 to 2 decimal places.
Date posted: May 6, 2019. Answers (1)
- Eight years ago the age of a father was six times the age of his son and after eight years from today the age of...(Solved)
Eight years ago the age of a father was six times the age of his son and after eight years from today the age of the
father would be only twice the age of his son. Find their present ages.
Date posted: May 6, 2019. Answers (1)
- Given that a = 5i + 2j and h = 3i + 4j evaluate |7?? - 5h|(Solved)
Given that a = 5i + 2j and h = 3i + 4j evaluate |7๐ โ 5โ|
Date posted: May 6, 2019. Answers (1)