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The distance s metres of an object varies partly with time t seconds and partly with square root of time. Given that s = 16...
(Solved)
The distance s metres of an object varies partly with time t seconds and partly with square root of time. Given that s = 16 when t = 4 and s = 48 when t = 16. Write an equation connecting s and t.
Date posted:
November 5, 2019
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Answers (1)
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Construct rectangle ABCD in which AB = 4cm and BC = 3cm. Inside the rectangle construct the locus of point L1 which is 3 cm...
(Solved)
Construct rectangle ABCD in which AB = 4cm and BC = 3cm. Inside the rectangle construct the locus of point L1 which is 3 cm from A; Locus of L2 which is equidistant from line AB and AD and locus of point L3 which is 2cm from line AB.
Date posted:
November 5, 2019
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Answers (1)
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The dimensions of a rectangle are measured and given as 6.9 cm by 3.06 cm,
Calculate to 4 s.f. the percentage error in the area.
(Solved)
The dimensions of a rectangle are measured and given as 6.9 cm by 3.06 cm,
Calculate to 4 s.f. the percentage error in the area.
Date posted:
November 5, 2019
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Answers (1)
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The equation of a curve is given as y = x3 – 3x + 2.
Determine
a) the value of y when x = 2
b) the...
(Solved)
The equation of a curve is given as y = x3 – 3x + 2.
Determine
a) the value of y when x = 2
b) the gradient of the curve at x = 3.
c) the turning points of the curve and their nature.
Date posted:
November 5, 2019
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Answers (1)
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The table below gives some of the values of x and y for the function y = 1/2x2 + 2x + 1 in the interval...
(Solved)
The table below gives some of the values of x and y for the function y = 1/2x2 + 2x + 1 in the interval 0 ≤ x ≤ 6
a) Use the values in the table to draw the graph of the function on the grid provided.
b) i) Using the graph and the mid-ordinate rule with six (6) strips, estimate the area bounded by the
curve, the x – axis, the y- axis and the line x = 6.
ii) If the exact area of the region described in (b) (i) is 78cm2; calculate the percentage error
made when the mid-ordinate rule is used.
Date posted:
November 5, 2019
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Answers (1)
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a) Given that the matrix find A-1, the inverse of A.
b) Kariuki bought 400 goats and 600 sheep for a total of Kshs 1.7m....
(Solved)
a) Given that the matrix 
find A-1, the inverse of A.
b) Kariuki bought 400 goats and 600 sheep for a total of Kshs 1.7m. Maina bought 180 goats and 240 sheep for a total of Kshs 720,000. If the price of a goat is sh. X and that of a sheep is shs y,
i) Form two equations to represent the above information.
ii) Use the matrix A-1 to find the price of one goat and one sheep.
c) John bought 450 goats and 720 sheep. He was given a total discount of shs 66,600.
Date posted:
November 5, 2019
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Answers (1)
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In the figure below OA = a, OB = b, OA : AE = 2 : 3 and OB : OC = 1 : 2
a)...
(Solved)
In the figure below OA = a, OB = b, OA : AE = 2 : 3 and OB : OC = 1 : 2
a) Express AC and BE in terms of a and b
i) AC
ii) BE
b) If DC = kAC and BD = mBE where k and m are scalars.
By expressing DC in two ways, determine the values of k and m.
c) Find the ratio of BD : DE
Date posted:
November 5, 2019
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Answers (1)
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A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are...
(Solved)
A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are as follows: there is to be a down payment of 10% of the cash price and the rest of the money to be paid through a loan of 10% per annum compound interest.
A customer decided to buy the house through a loan.
a) i) Calculate the amount of money loaned to the customer.
ii) The customer paid the loan in 3 years.
Calculate the total amount paid for the house.
b) Find how long the customer would have taken to fully pay for the house if she paid a total of Kshs 891,750.
Date posted:
November 5, 2019
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Answers (1)
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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
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Answers (1)
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Divide line AB such that AP = 2/5 AB
(Solved)
Divide line AB such that AP = 2/5 AB
Date posted:
November 5, 2019
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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Without using a calculator evaluate
(Solved)
Without using a calculator evaluate
Date posted:
November 5, 2019
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Answers (1)
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Find the value of
(Solved)
Find the value of
Date posted:
November 5, 2019
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Answers (1)
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Simplify the expression
(Solved)
Simplify the expression
Date posted:
November 5, 2019
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Answers (1)
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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
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Answers (1)
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Solve the equation below.
(Solved)
Solve the equation below.
Date posted:
November 5, 2019
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Answers (1)
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Use logarithms to evaluate
(Solved)
Use logarithms to evaluate
Date posted:
November 5, 2019
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)