KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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QUESTION 9 | KCSE 2021 | Matrices & Transformations | PAPER 1 | FORM 4 LEVELA translation T maps A(-6, 2) onto A'(3, 5).
(a) Determine the translation vector T. (1 mark) (b) A point P'(-4, 2) is the image of P under T. Determine the coordinates of P. (2 marks)
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QUESTION 8 | KCSE 2021 | Commercial Arithmetics II | PAPER 1 | FORM 3 LEVELA table is sold at Ksh 4 500 and a chair at Ksh 2 000. A salesman earns a commission of 8% on every table and 5% on every chair sold. On a certain week, he sold 3 more chairs than tables and his total earnings were Ksh 3 980.
Determine the number of chairs he sold that week. (3 marks) QUESTION 7 | KCSE 2021 | Quadratic Expressions | PAPER 1 | FORM 3 LEVELSimplify (4 + 2y)² - (2y - 4)². (2 marks)
QUESTION 6 | KCSE 2021 | LINEAR motion | PAPER 1 | FORM 3 LEVELIn a race Kipsang maintained an average speed of 5 m/s. When he was 310 m to the finishing line, Mutunga was 50 m behind him. However, Mutunga finished the race 10 m ahead of Kipsang.
Determine Mutunga's average speed. (3 marks) QUESTION 5 | KCSE 2021 | Angles & Plane Figures | PAPER 1 | FORM 1 LEVELThe size of two interior angles of an irregular polygon each measures 90°. All the other remaining interior angles each measure 150°.
Determine the number of sides of the polygon. (3 marks) QUESTION 4 | KCSE 2021 | LINEAR Inequalities | PAPER 1 | FORM 2 LEVELSolve [5/3] - 2x < 1- [2/3]x <= 2 - x. Hence list the integral values that satisfy the 3 -2x<1-x2-x. 3 inequalities. (3 marks)
QUESTION 3 | KCSE 2021 | Rotation | PAPER 1 | FORM 2 LEVELComplete the figure below to show a rotational symmetry of order 3 about O. (3 marks)
QUESTION 2 | KCSE 2021 | L.c.m | PAPER 1 | FORM 1 LEVELTwo bells ring at intervals of 35 and 42 minutes respectively. The bells ring together at 8.48 a.m. Determine the time when the bells will ring together again. (3 marks)
QUESTION 1 | KCSE 2021 | Fractions | PAPER 1 | FORM 1 LEVELK.C.S.E MATHEMATICS Q & A-MODEL 1997PP1QN20(A) Draw The Graph Of Y = 6 + X - X2, Taking Integral Value Of X In -4 ≤ X ≤ 5. (The Grid Is Provided. Using The Same Axes Draw The Graph Of Y = 2 – 2x
(B) From Your Graphs, Find The Values Of X Which Satisfy The Simultaneous Equations Y = 6 + X - X2; Y = 2 – 2x (C) Write Down And Simplify A Quadratic Equation Which Is Satisfied By The Values Of X Where The Two Graphs Intersect. 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) QUESTION 23 | KCSE 2022 | DIFFERENTIATION | PAPER 1 | FORM 4 LEVELA supermarket sold 530 packets of milk daily when the price was Ksh 50 per packet.
Whenever the price per packet was increased by Ksh 4, the number of packets sold daily decreased by 20. If n represents the number of times the price was increased: (a) write an expression in terms of n for: (i) the price of a packet of milk after the price was increased. (1 mark) (ii) the number of packets of milk sold after the price was increased. (1 mark) (iii) the total sales, in simplified expanded form, after the price of a packet of milk was increased. (2 marks) (b) Determine: (i) the number of times the price was increased to attain maximum sales. (3 marks) (ii) the price of a packet of milk for maximum sales. (1 mark) (iii) the maximum sales. (2 marks) 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.
QUESTION 16 | KCSE 2022 | COMMON SOLIDS | PAPER 1 | FORM 1 LEVEL The base, ABCDEF, of a right pyramid is a regular hexagon of side 2.5 cm. Point V is the vertex of the pyramid and the length of the slanting edges is 4 cm.
Draw a labelled net of the pyramid. (3 marks) QUESTION 15 | KCSE 2022 | STATISTICS I | PAPER 1 | FORM 2 LEVELThe table below shows the mean marks in a mathematics test of two classes. Calculate, correct to 2 decimal places, the mean mark of the classes.
QUESTION 14 | KCSE 2022 | Volume & Capacity of Solids | PAPER 1 | FORM 2 LEVELThe capacities of two similar containers are 54ml and 250 ml respectively. The difference in the heights of the two containers is 4cm.
Calculate the height of the larger container. (3 marks) QUESTION 12 | KCSE 2022 | TRIGONOMETRY | PAPER 1 | FORM 2 LEVELAn electric post erected vertically is 20m from point P on the same level ground. The angle of elevation of the top, T, of the post from P is 30°. Given that S is the mid point of the post, calculate, correct to 1 decimal place, the angle of elevation of S from P. (3 marks)
QUESTION 11 | KCSE 2022 | Commercial Arithmetic I | PAPER 1 | FORM 1 LEVELA Kenyan bank bought and sold United Arab Emirates (UAE) dirhams on two different dates as shown below. A Kenyan tourist who travelled to UAE on 1st August 2021 converted Ksh 130050 to UAE dirhams.
During her stay in UAE, she spent 3520 UAE dirhams. She arrived back to Kenya on 16th August 2021. On the same day she converted the remaining amount of money to Kenya shillings at the same bank. Calculate the amount of money in Kenya shillings that she received from the bank. (3 marks) QUESTION 7 | KCSE 2022 | TIME | PAPER 1 | FORM 1 LEVELA watch loses 8 seconds every hour. It was set to read the correct time at 1100 h on Sunday.
Determine the time, in a 12-hour system, the watch will show on the following Thursday when the correct time is 0500 h. (3 marks) |
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