The figure below is a cone whose base radius is 3.5cm and slant height 7cm. The net of the cone is a sector of a circle.
(a) Find the angle subtended at the centre of the sector. (2mks)
(b) Draw the net of the solid. (1mk)
A Kenya company received US Dollars M. The money was converted into Kenya Shillings in a bank which buys and sells foreign currencies.
(a) If the company received Ksh.15, 132,000, calculate the amount, M received in US Dollar. (2mks)
(b) The company exchanged the above Kenya shillings into Sterling pounds to buy a car in Britain. Calculate the cost of the car to the nearest Sterling pound. (2mks)
A line passes through the point (-1, 2) and has gradient -½. Write down its equation in the form ax + by = c (3mks) The interior angles of a hexagon are 2x + 5, 4x - 5, 4x + 5, 3x, 4x - 20 and 2x. Find the value of x. (3mks)
A chord PQ of length 15cm subtends an angle of 65º at the circumference centre O. Find the radius of the circle. (3mks)Worked Solution
The figure below is a velocity time graph for a car.
(a) Find the total distance traveled by the car.
(b) Calculate the deceleration of the car.
Agnes paid rent which was 1/10 of her net salary. She used ½ of the remaining amount to make a down payment for a plot. She gave her mother Kshs. 2,500 and did shopping worth Kshs. 7,500 for herself. She saved the remainder which was Ksh. 12,500. How much was the down payment that she made. (4mks)Worked Solution
From a point 20m away on a level ground the angle of elevation to the lower window line is 25° and the angle of elevation to the top line of the window is 34°. Calculate the height of the window. [3 marks]Worked solution
The table below shows the number of goals scored in 40 soccer matches during a certain season.19/11/2021 The table below shows the number of goals scored in 40 soccer matches during a certain season.
Calculate the mean number of goals scored per match. (3mks)Worked Solution
A man invests Ksh.24, 000 in an account which pays 16% interest p.a. the interest is compounded quarterly. Find the amount in the account after 1½ years. (3mks)Worked Solution
From a point 20m away on a level ground the angle of elevation to the lower window line is 270 and the angle of elevation to the top of the window is 320. calculate the height of the window (3mks)Worked Answer:
The sides of a parallelogram are 4cm by 5cm and its area is 12cm square. calculate its angles.24/10/2021 The sides of a parallelogram are 4cm by 5cm and its area is 12cm2. calculate its angles (3mks)Worked Answer:
A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland he bought a watch worth 52 Deutsche marks.Find the value of the watch in:-a) Swiss Francsb) Kenya shillings (3mks) Use the exchange rates below1 Swiss Franc = 1.28 Deutsche marks1 Swiss Franc = 45.21 Kenya shillings Worked Answer:
The figure above is a triangular prism of uniform cross – section in which AF = 4cm, AB = 5cm and BC = 8cm.
a) If a triangle BAF = 300, calculate the surface area of the prism (3mks)b) Draw a clearly labelled net of the prisms (1mk)Worked Answer:
A man imported a vehicle at sh 600,000 and sold it at sh. 1, 080,000. find his percentage profit if he spent sh 60,000 for clearing the vehicle from the port and a further sh. 40,000 for shipping. (3mks)Worked Example:
The exterior angle of regular polygon is an eighth of the interior angle. How many sides does the regular polygon have? (3mks)Worked Answer:
During a certain ceremony goats and chicken were slaughtered. The number of heads (for both chicken and goats) was 45. The total number of legs was 100. Determine the exact number of goats and chicken slaughtered. (3mks) Worked Answer:
a) Find the total distance traveled by the car (2mks)b) Calculate the deceleration of the car (2mks)Worked Answers:
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