KCSE MATHEMATICS QUESTIONS AND ANSWERS ON PROBABILITY FORM 3 LEVEL : A 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 al
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON TRIGONOMETRY 1 FORM 2 LEVEL : Triangle ABC is such that AB = 4 cm, BC = 7 cm and angle ABC = 100°. Calculate to 2 decimal places: (a) the area of triangle ABC; (2 marks) (b) the perimeter of triangle ABC; (4 marks) (c) the size of angle ACB. (4 marks)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON AREA APPROXIMATION FORM 4 LEVEL : A quadrant (a quarter of a circle) of radius 10 cm is drawn on the grid below. The quadrant is divided into 5 vertical strips.
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON SEQUENCE AND SERIES FORM 3 LEVEL : The terms of an Arithmetic sequence are 2,5,8,11, ... (a) Find: (i) the common difference of the sequence; (1 mark) (ii) the next two terms of the sequence; (2 marks) (iii) the 30th term of the sequence. (2 marks) (b) The sum of the first n terms of the s
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON STATISTICS II FORM 4 LEVEL : The 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)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON LINEAR MOTION FORM 1 LEVEL : Below 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)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON COMMERCIAL ARITHMETIC II FORM 3 LEVEL : A 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 i
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON COMMERCIAL ARITHMETIC II FORM 3 LEVEL : A 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 th
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON LONGITUDES FORM 4 LEVEL : The 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 Ï€ = 22/7) (3 marks)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON GRAPHICAL METHODS FORM 3 LEVEL : The 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)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON CIRCLES, CHORDS AND TANGENTS FORM 3 LEVEL. : In 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.
KCSE MATHEMATICS QUESTION AND ANSWER ON SEQUENCE AND SERIES FORM 3 LEVEL : The second term of a geometric sequence is 24 and the fifth term is 192. Find the first term of the sequence. (3 marks)
KCSE MATHEMATICS QUESTION AND ANSWER ON MATRICES FORM 3 LEVEL : (a) Find the determinant of the matrix (3 1-1 1). (1 mark) (b) A rectangle whose area is 15 cm² is transformed by the matrix (3 1-1 1) Determine the area of its image under the matrix of the transformation. (2 marks)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON SCALE DRAWING FORM 1 LEVEL : The 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)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON STATISTICS I FORM 2 LEVEL : The pie-chart below represents the expenditure of a family in a certain month on maize, meat, vegetables, fruits and milk.
Given that OA = 6p-4q, OB = 2p - 14q and AB = m(2p + 5q), find the value of m. (4 marks) : Given that OA = 6p-4q, OB = 2p - 14q and AB = m(2p + 5q), find the value of m. (4 marks)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON COMPOUND PROPORTIONS FORM 3 LEVEL : An 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: (a) the fraction of the tank that is emptied in 1 hour; (2
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON SCALE DRAWING FORM 1 LEVEL : The angle of elevation of the top of a vertical mast, viewed by an observer 50m away, was found to be 16.7°. (a) Calculate to the nearest centimetre: (i) the height of the mast; (3 marks) (ii) the length of a cable fixed at the point of the observer to th
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON LINEAR MOTION FORM 3 LEVEL : The figure below is a velocity - time graph for a car that travelled from t = 0 to t = 60, where t is time in seconds.
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON VOLUME AND CAPACITY FORM 2 LEVEL : The volume of a cuboid is 64m³. The volume of a smaller similar cuboid is 512 cm³. (a) Express the volume of the larger cuboid in cm³. (2 marks) (b) Calculate the ratio of the surface area of the larger cuboid to that of the smaller cuboid. (5 marks) (c)
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON SCALE DRAWING-BEARING FORM 1 LEVEL : Towns 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. (a) Using a scale of 1 cm to represent 100 km, show by scale drawing the locations of towns A, B and C. (3 marks) (b) Determine the
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON SURFACE AREA OF SOLIDS FORM 2 LEVEL : The 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.
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON QUADRATIC EQUATIONS FORM 3 LEVEL : The length and width of a rectangular plot of land are given as (7x + 5) m and (x + 10) m respectively. (a) Express the area of the plot in the form ax² + bx + c. (2 marks) (b) If the area of the plot is 600 m², find the perimeter of the plot. (6 marks) (
KCSE MATHEMATICS QUESTIONS AND ANSWERS ON MATRICES AND TRANSFORMATIONS FORM 4 LEVEL : The points A(6,1), B(3,2), C(4,5) and D (9,5) are vertices of an object ABCD as shown in the figure below.
KCSE QUESTIONS AND ANSWERS ON COMMERCIAL ARITHMETIC I FORM 1 LEVEL : A saleswoman was paid a basic salary of Ksh12 000 per month. She also received commission in two parts as follows: 2% for sales of up to Ksh 30 000, 32% for sales above Ksh 30 000. In one month she sold goods worth Ksh 84 000. Determine the saleswoman's t