KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
A commercial bank buys and sells Japanese Yen in Kenya Shillings at the rates shown below.7/1/2024 COMMERCIAL ARITHMETIC I  KCSE 1997  FORM 1 LEVEL  PAPER 2  SECTION AA commercial bank buys and sells Japanese Yen in Kenya Shillings at the rates shown below. A Japanese tourist at the end of his tour of Kenya was left with Kshs. 30,000 which he converted to Japanese Yen through the commercial bank. How many Japanese Yen did he get? KNEC ANSWERS
Given that 1 Japanese Yen is selling at Ksh 0.5446, we can use this rate to calculate the amount of Japanese Yen the tourist received.
The tourist had Kshs 30,000, so we can calculate the amount of Japanese Yen as follows: Amount in Japanese Yen = Kshs 30,000 ÷ Selling rate of 1 Japanese Yen Amount in Japanese Yen = Kshs 30,000 ÷ 0.5446 The calculation gives us: Amount in Japanese Yen ≈ 55,082.12 Therefore, the tourist received approximately 55,082 Japanese Yen.
0 Comments
SCALE DRAWING  BEARING  FORM 1 LEVEL  KCSE 1996  PAPER 2  QUESTION 20  SECTION BFour towns, R, T, K, and G, are arranged in the following manner: T is located 84 km directly north of R, K is positioned 60 km away from R on a bearing of 295°, and G is located 30 km away from K on a bearing of 340°. To create a scale drawing that accurately represents the relative positions of these towns, a scale of 1 cm representing 10 km will be used. Find (a) The distance and the bearing of T from K (b) The distance and the bearing G from T (c) The bearing of R from G COMMERCIAL ARITHMETIC I  PAPER 2  SECTION B  KCSE 1996 FORM 1 LEVELTwo businessmen jointly purchased a minibus capable of accommodating 25 paying passengers at full capacity. The fare for a oneway trip between towns A and B was set at Kshs 80 per passenger. The minibus operated three round trips between the two towns on a daily basis. The daily cost of fuel amounted to Kshs 1500. Additionally, the driver and conductor received daily allowances of Kshs 200 and Kshs 150 respectively. An additional Kshs 4,000 per day was allocated for maintenance, insurance, and loan payments.
COMMERCIAL ARITHMETIC II  QUESTION 21  KCSE 1996  FORM 3 LEVEL  SECTION BKubai saved Kshs 2,000 during the first year of employment. In each subsequent year, he saved 15% more than the preceding year until he retired.
statistics ii  kcse 1996  question 19  paper 2  section bIn an agricultural research centre, the length of a sample of 50 maize cobs was measured and recorded. The recorded measurements are presented in the frequency distribution table below. Calculate
ANGLE PROPERTIES OF A CIRCLE  FORM 2 LEVEL  KCSE 1996  PAPER 2  SECTION BIn the figure below, AOC represents a diameter of the circle with center O. The length of AB is equal to BC, and the angle ACD measures 25 degrees. The line EBF is a tangent to the circle at point B. Additionally, point G is located on the minor arc CD.
QUESTION 24  KCSE 2023  VECTORS I  PAPER 2  FORM 2 LEVELIn the following figure OABC is a trapezium. OA is parallel to CB and OA = 3 CB. M is the midpoint of AB. (a) Given that OA = 3a and OC = c express in terms of a and c.
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 xaxis 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 19  KCSE 2023  pROBABILITY  PAPER 2  FORM 3 LEVEL
QUESTION 18  KCSE 2023  COMMERCIAL ARITHMETIC II  PAPER 2  FORM 3 LEVELA welfare group invested Ksh 75 000 in shares and another Ksh 75 000 in a piece of land for a period of 5 years. The shares appreciated in value at a rate of 6% per annum (p.a) for a period of 3 years. In the remaining period of 2 years, the shares appreciated in value at a rate of 4.5% every 6 months. During the 5 years, the piece of land appreciated in value at a constant annual rate. At the end of the 5th year, the values of the two investments were equal.
QUESTION 17  KCSE 2023  SEQUENCES & SERIES  PAPER 2  FORM 3 LEVELThe first term of an arithmetic progression (A.P.) is a and the common difference d. The 7th term of the A.P. is 11. The sum of the first 12 consecutive terms of the A.P. is 123.
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 14  KCSE 2023  LINEAR MOTION  PAPER 2  FORM 3 LEVELA stone was thrown upwards from a point 8 metres above the ground. The following graph shows the height, h metres of the stone above the ground at time / seconds in the interval 0 ≤ t ≤ 4. Determine the rate of change of h at t = 2 seconds. (3 marks)
QUESTION 13  KCSE 2023  FORMULA & VARIATIONS  PAPER 2  FORM 3 LEVELA quantity v varies directly as the square of u and inversely as the cube root of w. When u = 5 and w = 8, the value of' v = 375. Find the value of v when u = 8 and w = 125. (3 marks)
QUESTION 12  KCSE 2023  QUADRATIC EQUATIONS  PAPER 2  FORM 4 LEVELThe length and width of a rectangular floor of a room are 10 m and 7 m respectively. A rectangular carpet of area 28 m² is placed on the floor. The carpet leaves a uniform space of x m with each of the walls of the room.
Form a quadratic equation in x and hence solve for x. (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}
QUESTION 10  KCSE 2023  COMMERCIAL ARITHMETIC II  PAPER 2  FORM 3 LEVELThe following table shows monthly income tax rates of a certain year. In that year, a monthly relief of Ksh 2 400 was allowed. The net tax on Lesianto's monthly income was Ksh 1 500.
Calculate Lesianto's monthly income. (3 marks) QUESTION 9  KCSE 2023  GRAPHICAL METHODS  PAPER 2  FORM 3 LEVELThe following figure shows a circle centre O.
QUESTION 8  KCSE 2023  VECTORS II  PAPER 2  FORM 3 LEVELGiven that p = 5i  j + 3k, q = 8i + j and r = 2p  q, determine the magnitude of r. (3 marks)
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 6  KCSE 2023  TRIGONOMETRY II  PAPER 2  FORM 3 LEVELSolve 6cos²(x) = 5sin(x) for 0≤x≤ 180°. (4 marks)

Categories
All
Archives
January 2025
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 Email  sales@manyamfranchise.com 