KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
QUESTION 24 | KCSE 2022 | MATRICES AND TRANSFORMATIONS | PAPER 1 | FORM 4 LEVELTriangle ABC and A'B'C' are drawn on the grid provided.
(a) Describe fully a single transformation that mapped triangle ABC onto triangle A'B'C'. (2 marks) (b) On the same grid, draw: (i) triangle A"B"C" the image of triangle A'B'C' under a rotation of +90° about Ο (0, 0). (2 marks) (ii) triangle A"B"C", the image of triangle A"B"C" under a reflection in the line y = -x. (2 marks) (c) Draw the line of symmetry of triangle A'B'C' and hence determine its equation in the form y = mx +c, where m and c are constants. (4 marks)
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The diagram below is a sketch of two curves y = 2x² + 1 and y = x² + 1 drawn on the same grid.13/11/2023 QUESTION 22 | KCSE 2022 | AREA APPROXIMATION | PAPER 1 | FORM 4 LEVELThe diagram below is a sketch of two curves y = 2x² + 1 and y = x² + 1 drawn on the same grid.
QUESTION 21 | KCSE 2022 | STATISTICS II | PAPER 1 | FORM 3 LEVELThe amount of money, in Kenya shillings, spent on airtime by a group of 30 people in a period of an hour was recorded as shown below.
(a) Complete the frequency distribution table below. QUESTION 20 | KCSE 2022 | GEOMETRICAL CONSTRUCTIONS | PAPER 1 | FORM 1 LEVEL In the figure below, line AB = 10 cm and is part of a trapezium ABCD. Point X is such that angle BAX = 45°.
QUESTION 19 | KCSE 2022 | EQUATIONS OF A STRAIGHT LINE | PAPER 1 | FORM 2 LEVELA triangle ABC is right angled at point A. The vertices of the triangle are A(1, -2), B(5, 4) and C(m, n).
The equation of line BC is 5y - x = 15.
A shot put is spherical and has mass of 7.26kg. It is made of a metal with a density of 6.93 g/cm³13/11/2023 QUESTION 18 | KCSE 2022 | DENSITY | PAPER 1 | FORM 1 LEVELA shot put is spherical and has mass of 7.26kg. It is made of a metal with a density of 6.93 g/cm³. (Take PIE = 22/7).
A contractor hired Wema and Tatu to transport 144 tonnes of stones to building sites A and B.13/11/2023 QUESTION 17 | KCSE 2022 | COMMERCIAL ARITHMETIC I | PAPER 1 | FORM 3 LEVELA contractor hired Wema and Tatu to transport 144 tonnes of stones to building sites A and B.
To transport 48 tonnes of stones for a distance of 28 km, the contractor paid Ksh 24000.
THE TABLE BELOW SHOWS THE NUMBER OF STUDENTS IN EACH CLASS IN A SCHOOL. THE PERCENTAGE (%) OF THE STUDENTS IN EACH CLASS WHO WEAR GLASSES IN ALSO SHOWN.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 24In the figure below A, B, C and D are points on the circumference of the circle, centre O. A tangent to the circle at A intersects chord CD produced at E. Line AB is parallel to line EC. Angle AED = 45 degrees and angle ABD = 40 degrees.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 23The systolic blood pressure of 60 patients attending a clinic was recorded as follows:KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 22A road contractor has to transport 240 tonnes of hardcore. He will use two types of lorries, type A and type B. He has 3 type A lorries and 2 type B lorries. The capacity of each type A lorry is 8 tonnes while that of type B is 15 tonnes. All type A lorries must each make the same number of trips. Similarly all type B lorries must each make the same number of trips. The number of trips made by each type B lorry should be less than twice those made by each type A lorry. Each type A lorry must not make more than 6 trips.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 21An aircraft took off from point A (x degrees North, 15 degrees east) at 0720h, local time. It flew due west to another point B (x degrees North, 75 degrees West) a distance of 5005 km from A.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 20Kering purchased (2x-1) identical pens for Ksh 180. Naraya purchased (3x+1) identical pencils for Ksh 200.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 19THE TABLE BELOW SHOES THE INCOME TAX RATES FOR A CERTAIN YEARKCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 18A FARMER HAS TWO TRACTORS P AND Q. TRACTOR P, WORKING ALONE, CAN PLOUGH A PIECE OF LAND IN 5 HOURS WHILE TRACTOR Q WOULD TAKE ON AND TWO-THIRDS HOURS LESS THAN TRACTOR P.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 17The volume v cm3 of a solid depends partly on r2 and partly on r3 where r cm is one of the dimensions of the solid
The average speed of a pick-up was 20 km/h faster than the average speed of a lorry. The pick-up took 45 minutes less than the lorry to cover a distance of 180 km.
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