KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
ALT B | AREA APPROXIMATION | | FORM 4 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 22A quadrant (a quarter of a circle) of radius 10 cm is drawn on the grid below. The quadrant is divided into 5 vertical strips.
0 Comments
ALT B | STATISTICS II | | FORM 4 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 19The table below represents the number of streams in 20 schools.
Calculate: (a) the mean number of streams per school; (3 marks) (b) the variance; (5 marks) (c) the standard deviation correct to 2 decimal places. (2 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 | MATRICES & TRANSFORMATIONS | SECTION 1 | QUESTION 17 | KCSE 2010 | FORM 4 LEVELThe points A(6,1), B(3,2), C(4,5) and D (9,5) are vertices of an object ABCD as shown in the figure below.
LONGITUDES & LATITUDES | KCSE 1997 | PAPER 1 | SECTION B | FORM 4 LEVELA ship leaves an island (5°N, 45°E) and sails due east for 120 hours to another island. The average speed of the ship is 27 knots.
(take 1 nautical mile to be 1.853 Km and the radius of the earth to be 6370 Km) QUESTION 23 | KCSE 2023 | INTEGRATION | PAPER 2 | FORM 4 LEVELThe following figure is a sketch of a curve whose equation is y = 3x² - 9x. The curve cuts the x-axis at O(0, 0) and at R(3, 0). The curve cuts the line y and Q. The coordinates of Q is (4, 12). Line RN is perpendicular to PQ at N.
QUESTION 22 | KCSE 2023 | LOCI | PAPER 2 | FORM 4 LEVELIn this question, use a ruler and a pair of compasses only. The following figure is drawn to scale. It shows sides AB and AD of a trapezium ABCD in which AB and DC are parallel. Angle DAB = 40° and vertex C is not shown.
QUESTION 21 | KCSE 2023 | LINEAR PROGRAMMING | PAPER 2 | FORM 4 LEVELAn express train operates between two towns. The train pulls x coaches on first class and y coaches on economy class. Each first class coach can hold 72 passengers while each economy class coach can hold 120 passengers.
The table below shows values of x and some values of y for the curve y = 14+ 10x 8x² - 4x³.1/1/2024 QUESTION 20 | KCSE 2023 | TRIGONOMETRY III | PAPER 2 | FORM 3 LEVEL
QUESTION 16 | KCSE 2023 | 3d geometry | PAPER 2 | FORM 3 LEVELP, Q and R are points on a level ground. Q is 4.5 m south of P. R is to the east of P and 5.3 m from Q. A vertical post at P is supported by a cable of length 3.5 m. The cable joins the top T of the post to point R.
Calculate the angle between the cable and the level ground correct to 2 decimal places. (3 marks) QUESTION 15 | KCSE 2023 | differentiation | PAPER 2 | FORM 4 LEVELThe gradient function of a curve is given by dy/dx = 3 - 4x. If the curve passes through the point (-1, 10), find the equation of the curve. (3 marks)
QUESTION 11 | KCSE 2023 | MATRICES & TRANSFORMATION | PAPER 2 | FORM 4 LEVEL
A transformation matrix T = [1 0] [k 0] maps P(2, 3) onto P'(2, 10). Point Q(-4, 4) is transformed under the same matrix T. Find the coordinates of Q', the image of Q. (3 marks)
T = \begin{pmatrix} 1 & 0 \\ K & 0 \\ \end{pmatrix}
The following table shows the frequency distribution of marks scored by 40 students in a test1/1/2024 QUESTION 7 | KCSE 2023 | STATISTICS II | PAPER 2 | FORM 4 LEVELThe following table shows the frequency distribution of marks scored by 40 students in a test. Calculate the upper quartile mark. (3 marks)
QUESTION 5 | KCSE 2023 | LONGITUDES & LATITUDES | PAPER 2 | FORM 4 LEVELA plane took 3 hours to fly from P(66.42°N, 30°E) to Q(66.42°N, 52.5°E). Determine the speed of the plane in knots correct to one decimal place. (3 marks)
QUESTION 23 | KCSE 2023 | differentiation | PAPER 1 | FORM 4 LEVELThe displacement, x metres, of a particle moving a long straight line after t seconds is given by x = t³/3 - 3t² + 9.
QUESTION 18 | KCSE 2023 | MATRICES & TRANSFORMATIONS | PAPER 1 | FORM 4 LEVELOn the following grid, triangle PQR is drawn.
QUESTION 15 | KCSE 2023 | DIFFERENTIATION | PAPER 1 | FORM 4 LEVELThe equation of a curve curve is given by y = 3x² - 2x. Determine the equation of a normal to the at x = 2. (4 marks)
QUESTION 11 | KCSE 2023 | AREA APPROXIMATION | PAPER 1 | FORM 4 LEVELThe equation of a curve is given by y = x². Using the trapezium rule with 4 strips, estimate the area enclosed by the curve y = x², the lines x = 1, x = 5 and the x-axis. (4 marks)
QUESTION 9 | KCSE 2023 | THREE DIMENSIONAL GEOMETRY | PAPER 1 | FORM 4 LEVELIn the following figure, triangle ABC is a uniform cross section of a solid ABCDEF. Given that BE is one of the edges of the solid, complete the sketch showing hidden edges with broken lines. (3 marks)
QUESTION 24 | KCSE 2021 | lINEAR mOTION | PAPER 2 | FORM 4 LEVELA particle was moving along a straight line. The acceleration of the particle after t seconds was given by (4t-13) ms^-2. The initial velocity of the particle was 18 ms-¹.
QUESTION 23 | KCSE 2021 | TRIGONOMETRY III | PAPER 2 | FORM 4 LEVEL(a) Complete the table below giving the values correct to 1 decimal place. (b) On the grid provided and using the same axis, draw the graphs of y = 2sin(3/4 x) - 2cos(3/4 x) and y = 1 + 2cos x for 0° ≤x≤ 360°. (4 marks)
QUESTION 22 | KCSE 2021 | STATISTICS II | PAPER 2 | FORM 4 LEVELWorkers in a factory commute from their homes to the factory. The table below shows the distances in kilometres, covered by the workers. The mean distance covered was 14.5 km.
QUESTION 21 | KCSE 2021 | MATRICES & TRANSFORMATIONS | PAPER 2 | FORM 4 LEVELThe vertices of the triangle shown on the grid are A' (3,-3), B' (1,-1) and C' (3,-1). Triangle A'B'C' is the image of triangle ABC under a transformation whose matrix is (0 1)upper-row (1 -2)lower-row. (a) Find the coordinates of triangle A, B and C. (4 marks)
(b) Triangle A"B"C" is the image of triangle A'B'C' under a transformation matrix (2 marks) (-2 0)upper-row (0 -1)lower-row. Determine the coordinates of A", B" and C". (c) On the same grid provided, draw triangles ABC and A"B"C". (2 marks) (d) Determine a single matrix, that maps ABC onto A" B"C". (2 marks) Find the area enclosed by the curve y = x² + 2x the straight lines x = 1, x = 3 and the x-axis28/12/2023 QUESTION 16 | KCSE 2021 | Integration | PAPER 2 | FORM 4 LEVELFind the area enclosed by the curve y = x² + 2x the straight lines x = 1, x = 3 and the x-axis.
(3 marks) In a transformation an object of area x cm² is mapped on to an image whose area is 13x cm².28/12/2023 QUESTION 15 | KCSE 2021 | Matrices & Transformations | PAPER 2 | FORM 4 LEVELIn a transformation an object of area x cm² is mapped on to an image whose area is 13x cm². Given that the matrix of the transformation is [(x 7)upper row and (x-1 3x)lower row] find the possible values of x. (3 marks)
|
Categories
All
Archives
December 2024
Latest Posts |
Primary Resources
College Resources
Can't find what you want? Use this Search box. |
Secondary Resources
|
Contact Us
Manyam Franchise
P.O Box 1189 - 40200 Kisii Tel: 0728 450 424 Tel: 0738 619 279 E-mail - sales@manyamfranchise.com |