KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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THE FIGURE BELOW SHOWS A RECTANGULAR BASED RIGHT PYRAMID, USE IT TO ANSWERS QUESTIONS THAT FOLLOW:2/1/2023 RATES, RATIO, PROPORTION AND PERCENTAGE | RATES | FORM 1 LEVEL | PAPER 2 QUESTIONS | SECTION AA dam containing 4158m-cubed of water is to be drained. A pump is connected to a pipe of radius 3.5cm and the machine operates for 8 hours per day. Water flows through the pipe at the rate of 1.5m per second. Find the number of days it takes to drain the dam. (3mks)
RATES, RATIO, PROPORTION AND PERCENTAGE | RATES | FORM 3 | PAPER 2 QUESTIONS | SECTION AAtieno is now four times as old as her daughter and six times as old as her son. Twelve years from now, the sum of the ages of her daughter and son will differ from her age by 9 years. What is Atieno’s present age? (3mks)
BIONOMIAL EXPANSION | FORM 3 | PAPER 2 QUESTIONS | SECTION A(ii) Use your expansion to estimate the value ofCorrect to one decimal place. (2mks)
ANGLE PROPERTIES OF A CIRCLE | CIRCLES: CHORDS AND TANGENTS | | PROPERTIES OF CHORDS INTERSECTING EXTERNALLY | FORM 3 | PAPER 2 QUESTIONS | SECTION A
Chords AB and CD of a circle meet at X.If AB = 8cm, BX = 5cm and DX = 6. Calculate the length of chord CD. (3mks)
WORKED ANSWER:
Let CD be x
CX * DX = AX * BX (PROPERTIES OF CHORDS INTERSECTING EXTERNALLY)
(X + 6)6 = 13 * 5 6X + 36 = 65 6X = 29 X = 29/6 = 4.83CM GRAPHICAL METHODS | Determining of the centre and radius of a circle | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION A2X² + 2y² - 6X + 10y + 9 = 0 is the equation of a circle. Find the radius and the centre of the circle. (4mks)
FORMULAE AND VARIATIONS | Change of the subject | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION AGiven that P = QXⁿ make n the subject of the formula and simplify your answer. (3mks)
T is a transformation represented by the matrixUnder T, a square of area 10cm square is mapped onto a square of area 110cm square find the value of x. (3mks)Worked Answer:
Two grades of coffee one costing sh.42 per kilogram and the other costing sh.47 per kilogram are to be mixed in order to produce a blend worth sh.46 per kilogram in what proportion should they be mixed. (3mks)Worked Answer:A map has a scale of 1 : 2500 and on it is square plot of land which has an area of 4cm². Calculate the actual area in hectares of the land. (3mks)Worked Answer:The initial salary of Mr. Lutta is sh. 42, 000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years. Give your answer to the nearest thousands. (3mks)Worked Answer:
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.
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