KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
QUESTION 12 | KCSE 2021 | Geometrical Constructions | PAPER 1 | FORM 1 LEVELLine AB drawn below is a side of a trapezium ABCD. (a) Using a ruler and pair of compasses only, complete trapezium ABCD in which AB is parallel to DC, BAD = 67.5°, AD = 5 cm, BC = 5.5 cm and ∠ABC is acute. (3 marks)
(b) Measure the length of DC. (1 mark)
0 Comments
QUESTION 11 | KCSE 2021 | Trigonometry II | PAPER 1 | FORM 3 LEVELSolve for Θ (2 marks)
sin (2Θ - 15) = cos 3Θ. The cost of one litre of Petrol is Ksh 110. John's vehicle covers 12 km on one litre of petrol.25/12/2023 QUESTION 10 | KCSE 2021 | Rates, Ratio, Percentage and Proportion | PAPER 1 | FORM 1 LEVELThe cost of one litre of Petrol is Ksh 110. John's vehicle covers 12 km on one litre of petrol. He used Ksh 2 805 on petrol to travel from town A to town B. Jane's vehicle consumes 12.5 litres of Petrol for every 100 km travelled.
Calculate the amount of money that Jane would use to travel from town A to B on the same road. (3 marks) 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) 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 LEVELQUESTION 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;
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) QUESTION 12 | KCSE 2022 | STATISTICS II | PAPER 2 | FORM 4 LEVELThe data below represents the number of animals owned by 7 neighbours:
9, 5, 14, 6, 8, 13 and 15. Calculate, correct to the nearest whole number, the standard deviation of the number of animals. (3 marks) QUESTION 11 | KCSE 2022 | TRIGONOMETRY III | PAPER 2 | FORM 4 LEVEL The figure below represents the curve of the function y = 1 − A sin wx for the range −35◦ ≤ x ≤ 50◦. Determine the values of A and R.
QUESTION 9 | KCSE 2022 | GRAPHICAL METHODS | PAPER 2 | FORM 3 LEVELThe population growth of a colony of bacteria was recorded at intervals of 5 seconds(s) as shown in the table below (a) On the grid provided, draw a graph of the population of bacteria against time. (2 marks) (b) Use the graph to determine, correct to 2 decimal places, the average rate of change of the population of bacteria between t = 5 seconds and t = 20 seconds. (2 marks)
QUESTION 10 | KCSE 2022 | GRAPHICAL METHODS | PAPER 2 | FORM 3 LEVEL A circle centre C(5, 5) passes through points A(1, 3) and B(a, 9). Find the equation of the circle and hence the possible values of a. (3 marks)
|
Categories
All
Archives
December 2024
Latest Posts |
We Would Love to Have You Visit Soon! |
Hours24 HR Service
|
Telephone0728 450425
|
|
8-4-4 materialsLevels
Subjects
|
cbc materialsE.C.D.E
Lower Primary
Upper Primary
Lower Secondary
Upper Secondary
|
teacher support
Other Blogs
|