KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
QUESTION 7 | KCSE 2021 | Quadratic Expressions | PAPER 1 | FORM 3 LEVELSimplify (4 + 2y)² - (2y - 4)². (2 marks)
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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 LEVELQUESTION 24 | KCSE 2022 | LOCI | PAPER 2 | FORM 4 LEVEL In this question use a ruler and a pair of compasses. The line AB drawn below is a side of triangle ABC in LABC which = 90° and BAC = 60°.
In an inter school mathematics contest, schools can register teams in junior and senior categories.23/12/2023 QUESTION 23 | KCSE 2022 | LINEAR PROGRAMMING | PAPER 2 | FORM 4 LEVELIn an inter school mathematics contest, schools can register teams in junior and senior categories. Information on number of students and the participation fee per team in each category is given in the table below. The organising committee projected to register x junior teams and y senior teams.
QUESTION 22 | KCSE 2022 | STATISTICS II | PAPER 2 | FORM 4 LEVELFifty teachers in a sub county attended a workshop. The table below shows the distribution of the distances (d) in kilometres travelled by the teachers from their respective school to the training venue.
QUESTION 21 | KCSE 2022 | COMMERCIAL ARITHMETIC II | PAPER 2 | FORM 3 LEVEL(a) Juma bought a house 4 years ago for Ksh 2500000. The value of the house rose steadily over 4 years to its current value of Ksh 3 700000. Calculate, correct to 2 decimal places, the annual rate of appreciation in the value of the house. (3 marks) (b) At the time Juma bought the house in 21(a), Tony also bought a car valued at Ksh 5 100000. The value of the car depreciated steadily at a rate of 2% every 4 months. Determine correct to the nearest shilling, the current value of the car. (3 marks) (c) The house bought in 21(a) continued to appreciate in value at the same rate while the car bought in 21(b) continued to depreciate in value at the same rate. Determine the number of years from the time of purchase, it would take for the value of the house and that of the car to be equal. Give the answer correct to 1 decimal place. (4 marks)
QUESTION 20 | KCSE 2022 | VECTORS I | PAPER 2 | FORM 2 LEVELIn the diagram below, the vertices of triangle ABC are A(0, 3), B(4.5, 6) and C(10.5, 0).
Points P(3, 5) and Q(9, 1.5) lie on lines AB and BC respectively.
QUESTION 19 | KCSE 2022 | MATRICES AND TRANSFORMATION | PAPER 2 | FORM 4 LEVELmaps triangle A'B'C' into triangle A"B"C". The coordinates of point C" is (10, 8) and the area of triangle A"B"C" is 15 square units.
QUESTION 18 | KCSE 2022 | Probability | PAPER 2 | FORM 3 LEVELTwo bags P and Q contain identical marbles except for the colours. Bag P contains 3 green and 4 red marbles. Bag Q contains 2 green and 3 red marbles. (1 mark)
QUESTION 17 | KCSE 2022 | COMPOUND PROPORTIONS AND RATES OF WORK | PAPER 2 | FORM 3 LEVELA wholesaler stocks two types of rice: Refu and Tamu. The wholesale prices of 1 kg of Refu and 1 kg of Tamu are Ksh 80 and Ksh 140 respectively. The wholesaler also stocks blend A rice which is a mixture of Refu and Tamu rice mixed in the ratio 3: 2.
QUESTION 16 | KCSE 2022 | LINEAR MOTION | PAPER 2 | FORM 2 LEVELThe velocity v m/s of a particle moving in a straight line is (-2t+4) m/s. Determine the distance moved by the particle during the first second of its motion. (3 marks)
QUESTION 15 | KCSE 2022 | LONGITUDES | PAPER 2 | FORM 4 LEVELAn aircraft took off from an airport A(0°, 40°W) at 1100 h local time. The aircraft landed at airport B(0°, 65°W) at 1200 h local time.
Determine the speed of the aircraft in knots. (4 marks) QUESTION 14 | KCSE 2022 | VECTORS II | PAPER 2 | FORM 3 LEVELPoint P(8, 4, -1) divides line AB internally in the ratio 4: 1. The position vector of point A with respect to the origin O is [-4 8 3]
Determine the coordinates of point B. (3 marks) K.C.S.E MATHEMATICS Q & A - MODEL 1997PP2QN05The figure below represents a circle a diameter 28 cm with a sector subtending an angle of 75^0 at the center. Find the area of the shaded segment to 4 significant figures
K.C.S.E MATHEMATICS Q & A - MODEL 1997PP2QN06A pyramid of height 10 cm stands on a square base ABCD of side 6 cm
K.C.S.E MATHEMATICS Q & A - MODEL 1997PP2QN02Mary Has 21 Coins Whose Total Value Is Kshs 72. There Are Twice As Many Five Shillings Coins As There Are Ten Shillings Coins. The Rest Are One Shillings Coin. Find The Number Of Ten Shillings Coins That Mary Has.
K.C.S.E MATHEMATICS Q & A - MODEL 1997PP2QN04On the figure below construct (i) The perpendicular bisector of BC (ii) The locus of a point P which moves such a way that ∠APB = ∠AVB and P is on the same side of AB on the same side of AB as C K.C.S.E MATHEMATICS Q & A - MODEL 1997PP2QN01Evaluate Without Using Mathematical Tables;
K.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 13 | KCSE 2022 | COMMERCIAL ARITHMETICS II | PAPER 2 | FORM 3 LEVEL The table below shows income tax rates in a certain year.
A tax relief of Ksh 1 408 per month was allowed. Calculate the monthly income tax paid by an employee whose monthly taxable income was Ksh 26545.75. (3 marks) |
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