QUICK QUESTIONS WITH ANSWERS FOR REFERENCE

KCSE MATHEMATICS QUESTIONS AND ANSWERS ON FRACTIONS FORM 1 LEVEL : Simplify (1 1/5 - 3/8 ÷ 2/3) / (6/7 of 1 1/2 - 3/8)

KCSE MATHEMATICS QUESTIONS AND ANSWERS ON LOGARITHMS | FORM 3 LEVEL : Use logarithm tables to evaluate √(2.5 × 0.064) / 8.1

KCSE MATHEMATICS QUESTIONS AND ANSWERS ON LENGTH | FORM 1 LEVEL : A support cable of length 6.5 m is fixed on a vertical pole at a distance of 0.9 m from the top. The cable is anchored on the ground at a distance of 2.5 m from the foot of the pole. Determine the height of the pole. (3 marks)

KCSE MATHEMATICS QUESTIONS AND ANSWERS ON GCD FORM 1 LEVEL : Three metal rods of lengths 234 cm, 270 cm and 324 cm were cut into shorter pieces, all of the same length, to make window grills. Calculate the length of the longest piece that can be cut from each of the rods and hence the total number of pieces that ca

KCSE MATHEMATICS QUESTIONS AND ANSWERS ON VOLUME AND CAPACITY FORM 2 LEVEL : A cylindrical container of height 45 cm has a capacity of 25 litres. Find the radius of the container to the nearest millimetre

KCSE MATHEMATICS QUESTIONS AND ANSWERS ON VOLUME AND CAPACITY FORM 2 LEVEL : Use cube tables to calculate, to 4 significant figures, the volume of a cube whose side is 0.4321 m. (3 marks)

KCSE MATHEMATICS QUESTIONS AND ANSWERS ON TIME FORM 1 LEVEL : On a certain day a journalist started travelling at 0850 hours to attend a meeting. He travelled for 6½ hours and then rested for 1 hour 45 minutes. He attended the meeting for 3% hours and travelled for 35 minutes to a hotel. Determine the time, in 12-ho

KCSE MATHEMATICS QUESTIONS AND ANSWERS ON FACTORS FORM 1 LEVEL : Find the common prime factors of 1890 and 1008

KCSE MATHEMATICS QUESTIONS AND ANSWERS ON INTEGERS FORM 1 LEVEL : Evaluate {-3 * +6 + -2} / {-4 + +5 - -3}

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Japan's Economy Slips into Recession, Losing its Position as the World's Third-Largest Economy

KCSE MATHEMATICS QUESTIONS AND ANSWERS ON GRAPHICAL METHODS FORM 3 LEVEL : Some 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. (a) Use the relationsh

KCSE MATHEMATICS QUESTIONS AND ANSWERS ON VECTORS II FORM 3 LEVEL : The 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, (a) determine in terms of i and j: (i) AB; (2 marks) (ii) AC. (3 marks)

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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.

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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)

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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

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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 π = 22/7) (3 marks)

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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.

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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)

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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)

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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.

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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

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Top 10 Biggest Economies in Africa by GDP, 2023

Top 10 Biggest Economies in Africa by GDP, 2023

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)

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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.