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- A blender mixes two brands of Juice A and B to obtain 70mls of the mixture worth Ksh. 165 per litre. If brand...(Solved)
A blender mixes two brands of Juice A and B to obtain 70mls of the mixture worth Ksh. 165 per litre. If brand A is valued at Ksh. 168 per 1 litre bottle and brand B at Ksh. 153 per 1 litre bottle, calculate the ratio in which the bands A and B are mixed.
Date posted: September 20, 2019.
- A stone is thrown vertically upwards from Point O. After t seconds the stone is S metres fromO. Given that S = 29.4t...(Solved)
A stone is thrown vertically upwards from Point O. After t seconds the stone is S metres from O. Given that S = 29.4t – 4.9t2, find the maximum height reached by the stone.
Date posted: September 20, 2019.
- Solve for x in the equation:
3cos2x + sin x + 1 = 0 For 0 < x < 360
(Solved)
Solve for x in the equation:
3cos2x + sin x + 1 = 0 For 0 < x < 360
Date posted: September 20, 2019.
- The marks of 80 students in a Mathematics test are shown in the table below.
Find the quartile deviation of the marks.
(Give your answer to the...(Solved)
The marks of 80 students in a Mathematics test are shown in the table below.
Find the quartile deviation of the marks.
(Give your answer to the nearest whole number)
Date posted: September 20, 2019.
- A circle whose equation is (x – 1)2 + (y – k)2 = 10 passes through point (2,5). Find the coordinates of the two...(Solved)
A circle whose equation is (x – 1)2 + (y – k)2 = 10 passes through point (2,5). Find the coordinates of the two possible centres of the circle.
Date posted: September 20, 2019.
- Find B given that A2 = (A + B).(Solved)
If matrix A
. Find B given that A2 = (A + B).
Date posted: September 20, 2019.
- Make r the subject in the formular:(Solved)
Make r the subject in the formular:
![fig3520920191053.png](/questions/uploads/fig3520920191053.png)
Date posted: September 20, 2019.
- Evaluate without using mathematical tables or calculators:
2 Log105 – ½ Log1016 + 2 Log1040(Solved)
Evaluate without using mathematical tables or calculators:
2 Log105 – ½ Log1016 + 2 Log1040
Date posted: September 20, 2019.
- Expand (2 + 1/5x)8 up to the term in x3. Use your expansion to evaluate (2.04)8 correct to 4 decimal places.(Solved)
Expand (2 + 1/5x)8 up to the term in x3. Use your expansion to evaluate (2.04)8 correct to 4 decimal places.
Date posted: September 20, 2019.
- Expand the expression:(3v2 + 5) (3v2 – 5). Hence work out the following:
(Solved)
Expand the expression:(3√2 + 5) (3√2 – 5). Hence work out the following:
![fig3220920191040.png](/questions/uploads/fig3220920191040.png)
Date posted: September 20, 2019.
- Use logarithm table to evaluate:(Solved)
Use logarithm table to evaluate:
![fig3020920191037.png](/questions/uploads/fig3020920191037.png)
Date posted: September 20, 2019.
- Study the flow chart below and answer the questions that follow(Solved)
Study the flow chart below and answer the questions that follow
Process Y
i. Write the formula of Alcohol X, Compound Z and name process Y.
ii. Propane and Chlorine react as shown below :
a) Name the type of reaction that takes place.
b) State the condition under which this reaction takes place.
Date posted: September 20, 2019.
- The curve y =3x2- 6x + 6 passes through the point s ( 2,3)(a)Determine the gradient function of the curve.(b) Find the co-ordinates of...(Solved)
The curve y=3x2- 6x + 6 passes through the point s ( 2,3)
(a)Determine the gradient function of the curve.
(b) Find the co-ordinates of the turning point of the curve.
(c) Determine whether the point is a minima or a maxima.
(d) Find the equation of the
(i) Tangent to the curve at S.
(ii) Normal to the curve at S.
Date posted: September 20, 2019.
- The relationship between two variables S and T is given by the equation S = KTn where K and n are constants.
(a) Write down the...(Solved)
The relationship between two variables S and T is given by the equation S = KTn where K and n are constants.
(a) Write down the linear equation relating to S and T
(b) Hence complete the table above for the linear equation relating to S and T.
(c) Draw a suitable straight line graph to represent the data.
(d) use your graph to determine the values of K and n.
(e) find the value of S when T = 3.5
Date posted: September 20, 2019.
- Study the table below and answer the questions that follow(Solved)
Study the table below and answer the questions that follow
i) What name is given to a series of organic compounds like the ones in the table?
ii) To what class of organic compounds does the above hydrocarbon belongs?
iii) Select one hydrocarbon that would be a gas at room temperature (298K) given a reason for your answer.
iv) Give the formula of the seventh member of the above series.
v) What is the relationship between the boiling point and the relative molecular masses of the hydrocarbons in the table above?
Explain your answer.
Date posted: September 20, 2019.
- Mr. Korir bought a tractor valued at Ksh. 800,00. the value of the tractor is depreciating at 20% p.a
(a) Calculate the value of the tractor...(Solved)
Mr. Korir bought a tractor valued at Ksh. 800,00. the value of the tractor is depreciating at 20% p.a
(a) Calculate the value of the tractor after 4 years.
(b) Find the time it would take for its value to be Ksh. 400,000. give you’re answer correct to 2 decimal
places.
(c) If after 4 years the tractor is sold through a broker who charge 5% commission find the amount received
by Mr. Korir from the sale
Date posted: September 20, 2019.
- Complete the table below giving the values to 2 decimal places.(Solved)
Complete the table below giving the values to 2 decimal places.
![fig222092019951.png](/questions/uploads/fig222092019951.png)
Date posted: September 20, 2019.
- Three quantities P,Q,and R are such that P varies jointly with Q and the square of R . if P = 900 when...(Solved)
Three quantities P,Q,and R are such that P varies jointly with Q and the square of R . if P = 900 when
Q = 20 and R = 3
Find (i) an equation connecting P, Q and R
(ii) the value of R when Q = 10 and P = 800
Date posted: September 20, 2019.
- The sum of the first 14 of an AP is 595. Given that the sum of the first 8 terms of the same AP is...(Solved)
The sum of the first 14 of an AP is 595. Given that the sum of the first 8 terms of the same AP is 220
Find the
(i) the first term
(ii) the common difference.
Date posted: September 20, 2019.
- Study the scheme below and answer questions that follow.(Solved)
Study the scheme below and answer questions that follow.
i) Name
Gas K
Gas M
ii) State observation made in
Step I
Step II
iii) State the conditions necessary for step II to occur.
iv) Write an equation to show how pollution effect of sulphur (IV) oxide is controlled in contact process.
v) Explain the role of sulphur in vulcanization of rubber.
Date posted: September 20, 2019.
- The equation of a circle is x2+y2-25y=-14x+38. Determine the centre and the radius of the circle(Solved)
The equation of a circle is x2+y2-25y=-14x+38. Determine the centre and the radius of the circle
Date posted: September 20, 2019.
- Find the exact area enclosed by the curve y=3x2,the x-axis and the line x=2 and x=4. (Solved)
Find the exact area enclosed by the curve y=3x2,the x-axis and the line x=2 and x=4.
Date posted: September 20, 2019.
- Study the structure below and answer questions that follow.(Solved)
Study the structure below and answer questions that follow:
a) What observation is made when the molecule above is heated to a temperature of 1130 C
b) Write an equation for the reaction of atom of the above structure with hydrogen.
Date posted: September 20, 2019.
- A coffee trader buys two grades of coffee at sh. 80 and sh. 100 per parket . Find the ratio at which she
should mix...(Solved)
A coffee trader buys two grades of coffee at sh. 80 and sh. 100 per parket . Find the ratio at which she
should mix them so that by selling the mixture at a sh. 120, a profit of 25% is realized.
Date posted: September 20, 2019.
- Find the distance in kilometers between places R(40oS,25oW) and S(40oS,120oE) along the parallel of latitude(Take radius of the earth to be 6370km and p...(Solved)
Find the distance in kilometers between places R(40oS,25oW) and S(40oS,120oE) along the parallel of latitude(Take radius of the earth to be 6370km and pi = 22/7) correct to 2 d.p.
Date posted: September 20, 2019.
- Find the expansion of (1+1/2 x)3
Hence use your expansion to obtain the value of (1.05)3. Correct to 4s.f. (Solved)
Find the expansion of (1+1/2 x)3
Hence use your expansion to obtain the value of (1.05)3. Correct to 4s.f.
Date posted: September 20, 2019.
- The table below shows the marks obtained by Form 3 students of Rehema Secondary School in Mathematics Exam. The total numbers of students were 100.Find...(Solved)
The table below shows the marks obtained by Form 3 students of Rehema Secondary School in Mathematics Exam. The total numbers of students were 100.
Find the standard deviation of the distribution.
Date posted: September 20, 2019.
- Equal masses of magnesium ribbon were reacted separately with equal volumes of 1M hydrochloric acid and 1M methanoic acid. The results were plotted on a...(Solved)
Equal masses of magnesium ribbon were reacted separately with equal volumes of 1M hydrochloric acid and 1M methanoic acid. The results were plotted on a graph as shown below. Two curves X and Y were obtained.
a) Explain which curves represents:
i) 1M hydrochloric acid.
ii) 1M Methanoic acid.
b) State the significance of point Z.
c) Write ionic equation for the reaction between magnesium and dilute hydrochloric acid.
d) Calculate the maximum mass of the gas that would be liberated if 1.2g of magnesium reacted with excess hydrochloric acid.
(Mg = 24, H =1).
e) Calculate the volume of the gas produced in (e) above at r.t.p (molar gas volume at r.t.p) = 24dm3.
Date posted: September 20, 2019.
- Solve the equation;(Solved)
Solve the equation;
Log (x2-8x+20) = Log 4 + Log (x-4)
Date posted: September 20, 2019.
- Find the matrix of transformation that would map triangle ABC with vertices at A(-5,2), B(-3,2) and
C(-3,5) onto triangle A1B1C1 with vertices at A1(-5,-2), B1(-3,-2)...(Solved)
Find the matrix of transformation that would map triangle ABC with vertices at A(-5,2), B(-3,2) and
C(-3,5) onto triangle A1B1C1 with vertices at A1(-5,-2), B1(-3,-2) and C1(-3,-5).
Date posted: September 20, 2019.