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- In the diagram M is the midpoint of XZ. OX = p + 2q. Oz = 7p – 2q and ZY = 3Kq + Mp...(Solved)
In the diagram M is the midpoint of XZ. OX = p + 2q. Oz = 7p – 2q and ZY = 3Kq + Mp where
k, and m are constants.
(a)Express the following in terms of p and q.
(i) XZ
(ii) XM
(iii) OM
(b)Express OY in terms of p, q, k and m.
(c)If y lies on OM produced with OY:OM = 3:2. Find the values of k and m.
Date posted: September 20, 2019. Answers (1)
- The table below shows monthly income tax rates.
A government employee earns a monthly salary of Ksh. 24,200 and is provided with a house at a...(Solved)
The table below shows monthly income tax rates.
A government employee earns a monthly salary of Ksh. 24,200 and is provided with a house at a nominal rent of Ksh. 700 per month.
(a)Calculate the employee’s taxable pay in K£.
(b)Calculate the total tax.
(c)The employee is entitled to a personal relief of Kshs. 1056 per month; and a monthly insurance relief at the rate of 15% of the premium paid. Calculate the net tax paid by the employee if the monthly premium amounts to Kshs. 2,400 for life insurance cover
d)Calculate his / her net pay that month.
Date posted: September 20, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- Find B given that A2 = (A + B).(Solved)
If matrix A . Find B given that A2 = (A + B).
Date posted: September 20, 2019. Answers (1)
- Make r the subject in the formular:(Solved)
Make r the subject in the formular:
Date posted: September 20, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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:
Date posted: September 20, 2019. Answers (1)
- Use logarithm table to evaluate:(Solved)
Use logarithm table to evaluate:
Date posted: September 20, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- Complete the table below giving the values to 2 decimal places.(Solved)
Complete the table below giving the values to 2 decimal places.
Date posted: September 20, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)