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- A ball is thrown upwards from the top of a cliff h metres above sea level with acceleration of -9.8m/s2 and an initial velocity of...(Solved)
A ball is thrown upwards from the top of a cliff h metres above sea level with acceleration of -9.8m/s2 and an initial velocity of 9.8m/s
i) Write down an expression for the height h of the ball above sea level if the height of the cliff is 100m.
ii) Calculate the greatest height reached by the ball above sea level.
Date posted: September 19, 2019. Answers (1)
- i)Sketch the curve y = x2 – 2x
ii) Use your sketch to find the areas between the x-axis and y = x2 – 2x from...(Solved)
i)Sketch the curve y = x2 – 2x
ii) Use your sketch to find the areas between the x-axis and y = x2 – 2x from x = 0 to x = 3.
Date posted: September 19, 2019. Answers (1)
- The table below shows the rate of taxation in a certain year.
Income in K£ p.a Rate of taxation shs per K£
1 – 3900 2
3901 – 7800 3
7801...(Solved)
The table below shows the rate of taxation in a certain year.
Income in K£ p.a Rate of taxation shs per K£
1 – 3900 2
3901 – 7800 3
7801 - 11700 4
11701 – 15600 5
15601 – 19500 7
Above 19500 9
In that period Mrs. Kalii earns a basic salary of kshs22,000 and is entitled to a house allowance of ksh10,000 per month. If she gets a personal relief of sh.1056 per month.
a)Calculate how much income tax she paid per month.
b)Mrs. Kalii’s other deductions per month were;
-Co-operative society contributions of Ksh.2,000
-Loan repayment kshs.2260
-Provident fund deducted through check off system at 2% of his basic salary.
Calculate his net monthly pay.
Date posted: September 19, 2019. Answers (1)
- Given that xo is an angle in the first quadrant such that 8sin2x + 2Cos x – 5 = 0, find tan x. (Solved)
Given that xo is an angle in the first quadrant such that 8sin2x + 2Cos x – 5 = 0, find tan x.
Date posted: September 19, 2019. Answers (1)
- find the distance between two points A(50oN, 20oE) and (50oN, 50oE) in;
i)Kilometers
ii)Nautical miles (Take R = 6400km and p= 3.142)
(Solved)
find the distance between two points A(50oN, 20oE) and (50oN, 50oE) in;
i)Kilometers
ii)Nautical miles (Take R = 6400km and π= 3.142)
Date posted: September 19, 2019. Answers (1)
- Without using tables or a calculator, find the value of(Solved)
Without using tables or a calculator, find the value of 
Date posted: September 19, 2019. Answers (1)
- Use the trapezium rule to estimate the area under the curve y = x2 + x – 6 over the interval 0 = x =...(Solved)
Use the trapezium rule to estimate the area under the curve y = x2 + x – 6 over the interval 0 ≤ x ≤ 8 using 4 trapezia.
Date posted: September 19, 2019. Answers (1)
- a)Expand (2 + x/4)5 upto the term in x3. b) Use your expansion to estimate the value of (1.975)5. Give your answer in 3 significant...(Solved)
a)Expand (2 + x/4)5 upto the term in x3.
b) Use your expansion to estimate the value of (1.975)5. Give your answer in 3 significant figures.
Date posted: September 19, 2019. Answers (1)
- A industrialist has 450 litres of a chemical which is 70% pure. He mixes it with a chemical of the same type but 90% pure...(Solved)
A industrialist has 450 litres of a chemical which is 70% pure. He mixes it with a chemical of the same type but 90% pure so as to obtain a mixture which is 75% pure. Find the amount of the 90% pure chemical used.
Date posted: September 19, 2019. Answers (1)
- The sum of two numbers m and n is 7. The sum of m and the reciprocal of n is 3 ¼. Find the two...(Solved)
The sum of two numbers m and n is 7. The sum of m and the reciprocal of n is 3 ¼. Find the two possible values of m and n.
Date posted: September 19, 2019. Answers (1)
- Show that;(Solved)
Show that;
Date posted: September 19, 2019. Answers (1)
- Ruth deposited sh20,000 in a fixed deposit account for a period of 1½ years. The bank pays compound interest on quarterly basis. At the end...(Solved)
Ruth deposited sh20,000 in a fixed deposit account for a period of 1½ years. The bank pays compound interest on quarterly basis. At the end of this period her account had shs46,200. Determine the rate at which interest was paid per annum.
Date posted: September 19, 2019. Answers (1)
- The average of the first and fourth terms of a G.P is 140. Given that the first term is 64, find the common ratio. (Solved)
The average of the first and fourth terms of a G.P is 140. Given that the first term is 64, find the common ratio.
Date posted: September 19, 2019. Answers (1)
- Simplify(Solved)
Simplify 
Date posted: September 19, 2019. Answers (1)
- Make A the subject of the formula given that(Solved)
Make A the subject of the formula given that 
Date posted: September 19, 2019. Answers (1)
- Given that 1.5 = x = 3.8 and 2.4 = y = 5, determine the smallest and the greatest value of x – y and...(Solved)
Given that 1.5 ≤ x ≤ 3.8 and 2.4 ≤ y ≤ 5, determine the smallest and the greatest value of x – y and hence the range of x – y.
Date posted: September 19, 2019. Answers (1)
- A ball is kicked vertically upwards from a point 0.5m above the ground at a velocity of 16m/s. Assuming that acceleration due to gravity is...(Solved)
A ball is kicked vertically upwards from a point 0.5m above the ground at a velocity of 16m/s. Assuming that acceleration due to gravity is 10m/s2
Determine
a)An expression for its velocity t seconds later
b)An expression for its height above the ground t seconds later
c)The maximum height reached by the ball
Date posted: September 19, 2019. Answers (1)
- a)Using a ruler and a pair of compass only construct triangle ABC in which angle BAC = 120o AB = 6.4cm and AC = 7.0cm (Solved)
a)Using a ruler and a pair of compass only construct triangle ABC in which angle BAC = 120o AB = 6.4cm and AC = 7.0cm
Measure
i) angle ABC
ii) BC
b) Construct the circumscribed circle of triangle ABC with O as its centre. Describe the circumscribed circle as a locus
Date posted: September 19, 2019. Answers (1)
- A particle moving along a straight line covers a distance 5 metres in time t seconds from a fixed point O on the line where...(Solved)
A particle moving along a straight line covers a distance 5 metres in time t seconds from a fixed point O on the line where s = t3 – 6t2 + 8t – 4
Find
a)The velocity of the particle when t = 5
b)The acceleration when t = 5 seconds
c)The time when the velocity of the particle is constant
Date posted: September 19, 2019. Answers (1)
- Mukai travels from A to B at xkm/h. The two towns are 40km apart. She then travels to town C at (x + 6)km/h. Town...(Solved)
Mukai travels from A to B at xkm/h. The two towns are 40km apart. She then travels to town C at (x + 6)km/h. Town B and C are 100km apart. If the time she takes from B to C is the same time from A to B, find the value of x
Date posted: September 19, 2019. Answers (1)