- A cylindrical water tank is of diameter 7 metres and height 2.8 metres.
a) Find the capacity of the water tank in litres.
b) Six members...(Solved)
A cylindrical water tank is of diameter 7 metres and height 2.8 metres.
a) Find the capacity of the water tank in litres.
b) Six members of a family use 15 litres each per day. Each day 80 litres are used for cooking and washing and a further 60 litres are wasted.
Find the number of complete days a full tank of water would last the family.
c) members of the family were absent for 90 days. During the 90 days, wastage was reduced by 20% but cooking and washing remained the same. Calculate the number of days a full tank would now last the family.
Date posted: November 5, 2019. Answers (1)
- Divide line AB such that AP = 2/5 AB(Solved)
Divide line AB such that AP = 2/5 AB
Date posted: November 5, 2019. Answers (1)
- Use the matrix method to find the co-ordinates of the points of intersection of the line
3x - 4y = 1 and y + 7x =...(Solved)
Use the matrix method to find the co-ordinates of the points of intersection of the line
3x - 4y = 1 and y + 7x = 23
Date posted: November 5, 2019. Answers (1)
- In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX...(Solved)
In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX = 3 cm.
a) Calculate the length of AX.
b) The area of ΔABX is 6cm2. Calculate the area of ΔCXD.
Date posted: November 5, 2019. Answers (1)
- Without using a calculator evaluate(Solved)
Without using a calculator evaluate
Date posted: November 5, 2019. Answers (1)
- A line L is perpendicular to the line Given that L passes through (3, 10).
Find the
a) Gradient of L
b) Equation of L in...(Solved)
A line L is perpendicular to the line 
Given that L passes through (3, 10).
Find the
a) Gradient of L
b) Equation of L in form of y = mx + c where m and c are constants.
Date posted: November 5, 2019. Answers (1)
- Find the value of(Solved)
Find the value of
Date posted: November 5, 2019. Answers (1)
- Simplify the expression(Solved)
Simplify the expression
Date posted: November 5, 2019. Answers (1)
- Find all the integers satisfying the inequalities.
3 - 2x < x - 3 = 4(Solved)
Find all the integers satisfying the inequalities.
3 - 2x < x - 3 ≤ 4
Date posted: November 5, 2019. Answers (1)
- Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a.(Solved)
Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a.
Date posted: November 5, 2019. Answers (1)
- Solve the equation below.(Solved)
Solve the equation below.
Date posted: November 5, 2019. Answers (1)
- Use logarithms to evaluate(Solved)
Use logarithms to evaluate
Date posted: November 5, 2019. Answers (1)
- Without using a calculator, evaluate.
(Solved)
Without using a calculator, evaluate.
Date posted: November 5, 2019. Answers (1)
- A (50oN, 40oW) and B(50oN, 80oE) lie on the surface of the earth. (take R=6370km, p = 22/7)
(a) Calculate the distance along the small circle...(Solved)
A (50oN, 40oW) and B(50oN, 80oE) lie on the surface of the earth. (take R=6370km, π = 22/7)
(a) Calculate the distance along the small circle between A and B, giving your answer in
i) Nautical miles
ii) Kilometers
(b) Find the distance between A and B along a great circle (over North pole) in
i) Nautical miles
ii) Kilometres
c) Find the time at A if the local time at B is 12:00 noon
Date posted: November 2, 2019. Answers (1)
- Use a ruler and compasses only for all the constructions in this question.
(a) Construct a triangle ABC such that angle BAC = 30o, AB=4cm and...(Solved)
Use a ruler and compasses only for all the constructions in this question.
(a) Construct a triangle ABC such that angle BAC = 30o, AB=4cm and AC = 6cm
b) Construct a circle passing through points A, B and C
c) On the opposite side of point C, locate point on the circumference such that
ACD= BCD. Measure length CD
Date posted: November 2, 2019. Answers (1)
- The sketch below represents the curve y=x2+5 and a straight line PQ which meets the x-axis andy-axis at the points (-4, 0) and (0, 8)...(Solved)
The sketch below represents the curve y=x2+5 and a straight line PQ which meets the x-axis and
y-axis at the points (-4, 0) and (0, 8) respectively. The line intersects the curve at point P and Q as
shown.
a) Find the equation of the line in the form y = mx + c
b) Determine the co-ordinates of P and Q
c) Calculate the area of the shaded region
Date posted: November 2, 2019. Answers (1)
- A quantity A varies jointly as the cube of y and inversely as the square root of x. If A = 7 when
y=2 and x=25,
(a)...(Solved)
A quantity A varies jointly as the cube of y and inversely as the square root of x. If A = 7 when
y=2 and x=25,
(a) Write an equation convecting A, x and y
(b) Find the value of y to three significant figures, when A=12 and x=36
(c) Find the percentage change in A when y is decreased by 11% and x is increased by 21%.
Date posted: November 2, 2019. Answers (1)
- The first three terms of a G.P. are the first, fourth and tenth terms of an A.P. Given that the first
term is 6 and that...(Solved)
The first three terms of a G.P. are the first, fourth and tenth terms of an A.P. Given that the first
term is 6 and that all the terms of the G.P. are different, find the common ratio.
Date posted: November 2, 2019. Answers (1)
- Determine the quartile deviation from the data below.
42, 1, 12, 6, 14, 20, 24(Solved)
Determine the quartile deviation from the data below.
42, 1, 12, 6, 14, 20, 24
Date posted: November 2, 2019. Answers (1)
- In the figure below SR is a tangent to the circle, PQR is a straight line and PQ: QR = 1:1.
Find PR and QR given...(Solved)
In the figure below SR is a tangent to the circle, PQR is a straight line and PQ: QR = 1:1.
Find PR and QR given that SR = 8√2 cm
Date posted: November 2, 2019. Answers (1)