KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Two parallel chords AB = 4cm and CD = 10 cm lie on opposite sides of a centre O of a circle.19/12/2023 QUESTION 6 | KCSE 2022 | CIRCLES, CHORDS AND TANGENTS | PAPER 2 | FORM 3 LEVEL Two parallel chords AB = 4cm and CD = 10 cm lie on opposite sides of a centre O of a circle. The perpendicular distance between the two chords is 7 cm.
Calculate the radius of the circle leaving the answer in surd form. (3 marks)
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QUESTION 5 | KCSE 2022 | QUADRATIC EQUATIONS | PAPER 2 | FORM 3 LEVELThe perimeter of a rectangle is 48 cm while it area is 108 cm². Form a quadratic equation to represent the situation and hence determine the dimensions of the rectangle. (3 marks)
QUESTION 4 | KCSE 2022 | FORMULA & VARIATIONS | PAPER 2 | FORM 3 LEVELThe market value of a certain precious stone varies directly as the square of its mass. One such stone of mass 10 kg has a value of Ksh. 600000.
Calculate the value of a similar stone whose mass is 18.5 kg. 3 marks QUESTION 3 | KCSE 2022 | SURDS | PAPER 2 | FORM 3 LEVELSimplify (3 + √5)/(7 − 3√5), leaving the answer in the form a + b√c where a, b and c are integers.
Two machines A and B working independently can take 8 hours and 10 hours respectively to do a task18/12/2023 QUESTION 2 | KCSE 2022 | COMPOUND PROPORTIONS AND RATES OF WORK | PAPER 2 | FORM 3 LEVELTwo machines A and B working independently can take 8 hours and 10 hours respectively to do a task. A third machine C and machine A working together can do the same task in 5 hours. Determine the time it would take machine B and machine C working together to do the same task. 3 marks
QUESTION 1 | KCSE 2022 | SEQUENCES AND SERIES | PAPER 2 | FORM 3 LEVEL An investor took a loan from a bank that charged interest. the loan and the interest accrued were repaid in monthly instalments. The investor repaid Ksh. 1500 in the first month and in each subsequent month the instalments were reducing by Ksh. 50 until the loan was fully repaid. Determine the maximum amount that may be paid for that loan. [3 marks]
QUESTION 21 | KCSE 2022 | STATISTICS II | PAPER 1 | FORM 3 LEVELThe amount of money, in Kenya shillings, spent on airtime by a group of 30 people in a period of an hour was recorded as shown below.
(a) Complete the frequency distribution table below. A contractor hired Wema and Tatu to transport 144 tonnes of stones to building sites A and B.13/11/2023 QUESTION 17 | KCSE 2022 | COMMERCIAL ARITHMETIC I | PAPER 1 | FORM 3 LEVELA contractor hired Wema and Tatu to transport 144 tonnes of stones to building sites A and B.
To transport 48 tonnes of stones for a distance of 28 km, the contractor paid Ksh 24000.
QUESTION 8 | KCSE 2022 | RELATIVE SPEED | PAPER 1 | FORM 3 LEVELA lorry left town A for town B and maintained an average speed of 50 km/h. A car left town A for town B 42 minutes later and maintained an average speed of 80 km/h. At the time the car in town B, the lorry haf 25 km to cover to town B. Determine the distance between town A and B (3 marks)QUESTION 5 | KCSE 2022 | QUADRATIC EQUATIONS | PAPER 1 | FORM 3 LEVELSimplify: [18ax - (3a-4x)(3a + 4x)] / (3a-8x) (3 marks)QUESTION 1 | KCSE 2022 | QUADRATIC EQUATIONS | PAPER 1 | FORM 3 LEVELSolve for n: 6n/n-a = 25/n
THE TABLE BELOW SHOWS THE NUMBER OF STUDENTS IN EACH CLASS IN A SCHOOL. THE PERCENTAGE (%) OF THE STUDENTS IN EACH CLASS WHO WEAR GLASSES IN ALSO SHOWN.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 24In the figure below A, B, C and D are points on the circumference of the circle, centre O. A tangent to the circle at A intersects chord CD produced at E. Line AB is parallel to line EC. Angle AED = 45 degrees and angle ABD = 40 degrees.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 23THE TABLE BELOW SHOES THE INCOME TAX RATES FOR A CERTAIN YEARKCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 18A FARMER HAS TWO TRACTORS P AND Q. TRACTOR P, WORKING ALONE, CAN PLOUGH A PIECE OF LAND IN 5 HOURS WHILE TRACTOR Q WOULD TAKE ON AND TWO-THIRDS HOURS LESS THAN TRACTOR P.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 17THE POSITION VECTORS OF POINTS P, Q AND R ARE [1 -1 3], [3 3 1] AND [6 9 -2] RESPECTIVELY. SHOW THAT POINTS P, Q AND R ARE COLLINEARKCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 15Two variables x and y are such that y varies directly as x^n where n is a constantKCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 6 |
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