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- A spherical ball is 15cm in diameter. What is its surface area? (Solved)
A spherical ball is 15cm in diameter. What is its surface area?
Date posted: October 16, 2019. Answers (1)
- Evaluate without using tables or a calculator; (Solved)
Evaluate without using tables or a calculator;
![fig116102019752.png](/questions/uploads/fig116102019752.png)
Date posted: October 16, 2019. Answers (1)
- a)Complete the table below to 2 d.p.
b)Draw the graphs of y = cos x and y = sin x – cos x, for 0 =...(Solved)
a)Complete the table below to 2 d.p.
![fig42121020191226.png](/questions/uploads/fig42121020191226.png)
b)Draw the graphs of y = cos x and y = sin x – cos x, for 0 ≤ x ≤ 180
c) Using your graphs:
i) Solve the equation ½ Sin x = Cos x.
ii) State the range of values of x in 0 ≤ x ≤ 180, for which 2 Cos x ≤ Sin x.
iii) Solve the equation
Sin x – 1.25 = Cos x
Date posted: October 12, 2019. Answers (1)
- The velocity, v m/s of a particle after t seconds is given by v = t2 – 2t + 4.
a)i) Using the mid- coordinate rule...(Solved)
The velocity, v m/s of a particle after t seconds is given by v = t2 – 2t + 4.
a)i) Using the mid- coordinate rule with six strips, estimate the distance covered by the particle between t = 1 and t =13 seconds.
ii) Find the exact distance the particle covered between t =1 and t = 13 seconds.
b)Calculate the percentage error arising from the estimate in (a) above.
Date posted: October 12, 2019. Answers (1)
- A and B are two points on the latitude 500N. The two points lie on the longitudes 300E and 1500W respectively
a)Calculate:
i) The distance...(Solved)
A and B are two points on the latitude 500N. The two points lie on the longitudes 300E and 1500W respectively
a)Calculate:
i) The distance in km, from A to B along the parallel of latitude. (take π= 22/7, R = 6370km)
ii) The shortest distance from A to B along the great circle, in nautical miles.
b)An aircraft takes 54 hours to fly between the two points, along the great circle. Calculate its speed in km/h.( take 1nm = 1.853km)
Date posted: October 12, 2019. Answers (1)
- a)Complete the table below for the function y = x3 + 2x2 – 3x – 4, to 1 d.p
b)Draw the graph of y = x3...(Solved)
a)Complete the table below for the function y = x3 + 2x2 – 3x – 4, to 1 d.p
![fig38121020191206.png](/questions/uploads/fig38121020191206.png)
b)Draw the graph of y = x3 + 2x2 – 3x – 4, using the values in the completed table.
c) Using your graph:
i) Solve the equation
x3 + 2x2 – 3x = 4.
ii) Estimate the coordinates of the turning points of the curve.
Date posted: October 12, 2019. Answers (1)
- A triangular piece of land PQR is such that PQ = 100m, PR = 120m and angle QPR = 780.
Calculate :
i) RQ
ii)QRP
iii)Find the area...(Solved)
A triangular piece of land PQR is such that PQ = 100m, PR = 120m and angle QPR = 780.
Calculate :
i) RQ
ii)QRP
iii)Find the area of the land in hectares.
Date posted: October 12, 2019. Answers (1)
- A trapezium ABCD is such that the two parallel sides are of length 18cm and 26cm. AB = 9cm and angle ABC = 450. Calculate...(Solved)
A trapezium ABCD is such that the two parallel sides are of length 18cm and 26cm. AB = 9cm and angle ABC = 450. Calculate the area of the trapezium to 1 decimal place.
Date posted: October 12, 2019. Answers (1)
- The end points of a diameter of a circle are P (-3, -9) and Q (7, 15). Determine the equation of the circle in the...(Solved)
The end points of a diameter of a circle are P (-3, -9) and Q (7, 15). Determine the equation of the circle in the form x2+y2+ax+by=c where a, b and c are constants.
Date posted: October 12, 2019. Answers (1)
- Find the equation of the normal to the curve y = 2x3 – 3x2 + 6, when x = 2.(Solved)
Find the equation of the normal to the curve y = 2x3 – 3x2 + 6, when x = 2.
Date posted: October 12, 2019. Answers (1)
- The sixth term of a geometric progression is 16 and the third term is 2. Determine the common ratio and the first term.(Solved)
The sixth term of a geometric progression is 16 and the third term is 2. Determine the common ratio and the first term.
Date posted: October 12, 2019. Answers (1)
- Point R divides line PQ externally in the ratio 4:3. The position vectors of P and Q are 2i + j – 3k and i...(Solved)
Point R divides line PQ externally in the ratio 4:3. The position vectors of P and Q are 2i + j – 3k and i – 2j + k respectively. Find the position vector, of R.
Date posted: October 12, 2019. Answers (1)
- A businessman mixes sugar costing sh. 90 per kg with another type which costs sh.120 per kg. Find the ratio in which the two types...(Solved)
A businessman mixes sugar costing sh. 90 per kg with another type which costs sh.120 per kg. Find the ratio in which the two types should be mixed so that if a kilogram of the mixture is sold at ksh. 147 a profit of 50% is realized.
Date posted: October 12, 2019. Answers (1)
- The probability of a team losing a game is 1/5. The team plays the game until it wins. Find the probability that the team wins...(Solved)
The probability of a team losing a game is 1/5. The team plays the game until it wins. Find the probability that the team wins in the fourth round.
Date posted: October 12, 2019. Answers (1)
- Find the area of the shaded region shown in the figure below. (Solved)
Find the area of the shaded region shown in the figure below.
![fig27121020191119.png](/questions/uploads/fig27121020191119.png)
Date posted: October 12, 2019. Answers (1)
- The figure below represents a hollow cylinder. The internal and external radii are estimated to be 6cm and 8cm respectively, to the nearest whole number....(Solved)
The figure below represents a hollow cylinder. The internal and external radii are estimated to be 6cm and 8cm respectively, to the nearest whole number. The height of the cylinder is exactly 14cm.
![fig25121020191115.png](/questions/uploads/fig25121020191115.png)
a)Determine the exact values for the internal and external radii which will give maximum volume of the material.
b)Calculate the maximum possible volume of the material
Date posted: October 12, 2019. Answers (1)
- The current price of a vehicle is ksh. 500,000. The value of the vehicle depreciates at a rate of 15% p.a for the first two...(Solved)
The current price of a vehicle is ksh. 500,000. The value of the vehicle depreciates at a rate of 15% p.a for the first two years and at 20% p.a thereafter. Find the number of years it will take for its value to reduce to ksh. 147,968.
Date posted: October 12, 2019. Answers (1)
- Solve for x in the equation.
(Solved)
Solve for x in the equation.
![fig22121020191056.png](/questions/uploads/fig22121020191056.png)
Date posted: October 12, 2019. Answers (1)
- Make C the subject of the formula.(Solved)
Make C the subject of the formula.
![fig20121020191042.png](/questions/uploads/fig20121020191042.png)
Date posted: October 12, 2019. Answers (1)
- A rectangle whose area is 15cm2 is transformed by a matrix .Determine the area of its image under the matrix of transformation.(Solved)
A rectangle whose area is 15cm2 is transformed by a matrix
.Determine the area of its image under the matrix of transformation.
Date posted: October 12, 2019. Answers (1)