KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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ALT B | GRAPHICAL METHODS | | FORM 3 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 24Some water is heated in a beaker and then left to cool for 12 minutes. After the heating is stopped, the relationship between the water temperature C, in degrees centigrade and the time t, after heating is given as C = 100 -1/2 T^2.
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ALT B | vectors ii | | FORM 3 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 23The figure below shows a triangle OAC in which B is the mid-point of OC and D is the mid-point of AC.
Given that OA = 2i + 5j and OB = 4i + j,
ALT B | AREA APPROXIMATION | | FORM 4 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 22A quadrant (a quarter of a circle) of radius 10 cm is drawn on the grid below. The quadrant is divided into 5 vertical strips.
ALT B | TRIGONOMETRY I | | FORM 2 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 21Triangle ABC is such that AB = 4 cm, BC = 7 cm and angle ABC = 100°. Calculate to 2 decimal places:
ALT B | PROBABILITY | | FORM 3 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 20A bag contains 5 yellow (Y) balls and 3 blue (B) balls. All the balls are identical except for the colour. A ball is drawn at random from the bag without replacement and its colour noted. A second ball is draw at random from the same bag and its colour also noted.
ALT B | STATISTICS II | | FORM 4 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 19The table below represents the number of streams in 20 schools.
Calculate: (a) the mean number of streams per school; (3 marks) (b) the variance; (5 marks) (c) the standard deviation correct to 2 decimal places. (2 marks) 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.
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