KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
These are Mathematics questions and answers categorized according to topics, papers i.e. Paper 1 and 2, Levels i.e. form 1 to form 4, kcse year the examination was done and section A or B
Select topic/category to open topical questions from that particular option provided.
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ALT B | SEQUENCE AND SERIES | | FORM 3 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 18The terms of an Arithmetic sequence are 2,5,8,11, ...
ALT B | COMMERCIAL ARITHMETIC II | | FORM 3 LEVEL | SECTION ii | PAPER 2 | KCSE 2010 | QUESTION 17A shop sells a certain type of fridge at a cash price of Ksh 80 000. If the fridge is bought on Hire Purchase (H.P), a deposit of Ksh 24 000 is paid. A customer is also charged 15% per annum simple interest on the balance of the cash price after deposit is paid. Khamala bought one such fridge on H.P. He paid the balance plus the interest in 5 equal monthly instalments.
ALT B | TIME, DISTANCE AND SPEED | | FORM 1 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 16Below is a travel timetable for a bus travelling from town P to town S via towns Q and R.
If the distance between town P and town S is 220km, calculate the average speed at which the bus travels. (3 marks) ALT B | COMMERCIAL ARITHMETIC II | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 15A building was valued at Ksh 720 000 on 1st January 2007. The value of the building appreciated at 2% per annum in the first year. The value of the building then depreciated at the rate of 5% for the next 2 years. Calculate the value of the building at the end of year 2009. (3 marks)
ALT B | LONGITUDES AND LATITUDES | | FORM 4 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 14The positions of two points A and B on the surface of the earth are A(32.8°N, 26°E) and B(21.2°S, 26°E).
Calculate in kilometres the shortest distance between A and B. (Take the radius of the earth to be 6370 km and π = 22/7) (3 marks) ALT B | graphical methods | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 13The table below gives values of two variables x and y obtained from an experiment.
(a) On the grid provided below, plot the values of y against x and draw the line of best fit. (2 marks) ALT B | CIRCLES, CHORDS AND TANGENTS | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 12In the figure below, PRQS is a circle of radius 17cm. Line PQ is a diameter of the circle and is perpendicular to chord RS at T.
ALT B | SEQUENCE AND SERIES | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 11The second term of a geometric sequence is 24 and the fifth term is 192. Find the first term of the sequence. (3 marks)
ALT B | SCALE DRAWING | | FORM 1 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 9The area of each small square of the grid below is 64 mm².
Estimate in mm², the area of the figure drawn on the grid. (3 marks) ALT B | STATISTICS I | | FORM 2 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 8The pie-chart below represents the expenditure of a family in a certain month on maize, meat, vegetables, fruits and milk.
During that month, the family spent equal amounts of money on milk and fruits.
ALT B | COMPOUND PROPORTIONS | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 7An inlet pipe fills an empty water tank in 8 hours while an outlet pipe empties the full tank in 5 hours. When the tank is full, the inlet and outlet pipes are opened at the same time. Calculate:
ALT B | logarithms i | | FORM 2 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 1and give the answer correct to 5 significant figures. [2 marks]
ALT B | quadratic equations | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 3Solve by factorisation, the quadratic equation:
2x²-3x-50 = 0 (3 marks) ALT B | FORMULA AND VARIATIONS | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 4ALT B | Circles, Tangents and Chords | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 5The figure below shows a circle centre O and external point X.
ALT B | VOLUME AND CAPACITY | SECTION 2 | QUESTION 22 | KCSE 2010 | FORM 2 LEVELThe volume of a cuboid is 64m³. The volume of a smaller similar cuboid is 512 cm³.
ALT B | LINEAR MOTION | SECTION 2 | QUESTION 23 | KCSE 2010 | FORM 3 LEVELThe figure below is a velocity - time graph for a car that travelled from t = 0 to t = 60, where t is time in seconds. Use the graph to calculate:
ALT B | SCALE DRAWING | SECTION 2 | QUESTION 24 | KCSE 2010 | FORM 1 LEVELThe angle of elevation of the top of a vertical mast, viewed by an observer 50m away, was found to be 16.7°.
ALT B | SCALE DRAWING-BEARING | SECTION 2 | QUESTION 21 | KCSE 2010 | FORM 1 LEVELTowns A, B and C are located such that B is 400 km to the north of A and town C is 750 km on a bearing of 225° from town B.
ALT B | SURFACE AREA OF SOLIDS | SECTION 2 | QUESTION 20 | KCSE 2010 | FORM 2 LEVELThe diagram below represents a pipe whose cross-section is shaded. The pipe has internal radius of 0.26m and an external radius of 0.3m.
ALT B | QUADRATIC EQUATIONS | SECTION 1 | QUESTION 19 | KCSE 2010 | FORM 3 LEVELThe length and width of a rectangular plot of land are given as (7x + 5) m and (x + 10) m respectively.
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