KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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In the figure below, OABC is a rhombus drawn in a circle, centre O, of radius 3 cm. Angle AOC = 120°22/3/2024 | angle properties of a circle | FORM 3 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 16 |In the figure below, OABC is a rhombus drawn in a circle, centre O, of radius 3 cm. Angle AOC = 120°
Determine the total area of the shaded regions to 2 decimal places. (4 marks)
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| ANGLES AND PLANE FIGURES | FORM 1 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 14 |The sum of interior angles of a regular polygon is 1620°. Calculate the number of sides of the polygon. (2 marks)
| FACTORIZATION | FORM 3 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 13 |Use factorization method to solve the equation: 1/8 x^2 + x = 48.
| SIMILARITY and Enlargement | FORM 2 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 12 |The areas of the lids of two similar cylinders are 16 cm² and 25 cm². If the volume of the bigger cylinder is 800 cm³, find the volume of the smaller cylinder. (4 marks)
| geometrical constructions | FORM 1 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 11 |Using a ruler and a pair of compasses only, construct triangle ABC such that AB = 4.5 cm, BC = 8.1 cm and angle CBA = 60°. Measure angle CAB.
(3 marks) | logarithms | FORM 3 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 10 |Use logarithm tables to evaluate √(2.5 × 0.064) / 8.1
A support cable of length 6.5 m is fixed on a vertical pole at a distance of 0.9 m from the top.22/3/2024 | LENGTH | FORM 1 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 9 |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)
| GCD | FORM 1 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 7 |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 can be obtained from the rods. (4 marks) | LINEAR INEQUALITIES | FORM 2 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 6 |Find the integral values of x which satisfy the inequality 3x ≤ 2x + 3 < 4x + 5. (3 marks)
| VOLUME AND CAPACITY | FORM 2 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 5 |A cylindrical container of height 45 cm has a capacity of 25 litres. Find the radius of the container to the nearest millimetre. (3 marks)
Use cube tables to calculate, to 4 significant figures, the volume of a cube whose side is 0.4321 m22/3/2024 | VOLUME AND CAPACITY | FORM 2 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 4 |Use cube tables to calculate, to 4 significant figures, the volume of a cube whose side is 0.4321 m. (3 marks)
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]
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