KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
ALT B  matrices   FORM 3 LEVEL  SECTION 1  PAPER 2  KCSE 2010  QUESTION 2and R = P  2Q find:
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ALT B  quadratic equations   FORM 3 LEVEL  SECTION 1  PAPER 2  KCSE 2010  QUESTION 3Solve by factorisation, the quadratic equation:
2x²3x50 = 0 (3 marks) ALT B  FORMULA AND VARIATIONS   FORM 3 LEVEL  SECTION 1  PAPER 2  KCSE 2010  QUESTION 4ALT B  Circles, Tangents and Chords   FORM 3 LEVEL  SECTION 1  PAPER 2  KCSE 2010  QUESTION 5The figure below shows a circle centre O and external point X.
ALT B  QUADRATIC EQUATIONS  SECTION 1  QUESTION 19  KCSE 2010  FORM 3 LEVELThe length and width of a rectangular plot of land are given as (7x + 5) m and (x + 10) m respectively.
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.
ALT B  COMMERCIAL ARITHMETIC 1  SECTION 1  QUESTION 16  KCSE 2010  FORM 1 LEVELA saleswoman was paid a basic salary of Ksh12 000 per month. She also received commission in two parts as follows: 2% for sales of up to Ksh 30 000, 3 1/2% for sales above Ksh 30 000. In one month she sold goods worth Ksh 84 000. Determine the saleswoman's total earnings that month. (4 marks) FEATURED QUESTIONSFEATURED PRODUCTSOn Sale On Sale FREE GRADE 4 REVISION KITS & PAST PAPERS TERM 1 2020
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IRE Grade 7 Opener Question Paper: Understanding the Quran, Hadith, and Tawheed Review: The IRE Grade 7 Opener Question Paper provides a comprehensive assessment of students' understanding of key concepts in Islamic Religious Education. The paper focuses on three main topics: the Quran, Hadith, and Tawheed, ensuring a wellrounded evaluation of students' knowledge. The questions in the paper are thoughtprovoking and require students to demonstrate a deep understanding of the subject matter. The first section covers the Quran, asking students to define the term and explain the need for its revelation. It also explores the roles of Angel Jibril in the revelation process and the two stages in which the Quran was revealed. Additionally, students are required to analyze the significance of Surah AlFatiha and derive lessons from it. The second section delves into the Hadith, examining the teachings of Surah AlNasir and Suratul AlAsri. It also discusses the circumstances under which Suratul Fill was revealed and explores the differences between the Quran and Hadith. Furthermore, the paper highlights the evolution of Hadith, its forms, and its contribution to Islamic thought and culture. Lastly, the paper addresses the concept of Tawheed, requiring students to identify the articles of Iman and define Tawheed itself. It provides an opportunity for students to showcase their understanding of this fundamental concept in Islam. The questions are appropriately challenging for Grade 7 students, encouraging critical thinking and a comprehensive understanding of the subject matter. The paper also emphasizes the importance of neatness and provides ample space for students to write their answers. Overall, the IRE Grade 7 Opener Question Paper effectively assesses students' knowledge of the Quran, Hadith, and Tawheed. It covers a wide range of topics and encourages students to think deeply about the principles and teachings of Islam. This paper serves as a valuable tool for evaluating students' grasp of key concepts in Islamic Religious Education. Three alarms are programmed to sound at intervals of 25 minutes, 30 minutes and 35 minutes.2/3/2024 ALT B  LCM  SECTION 1  QUESTION 14  KCSE 2010  FORM 1 LEVELThree alarms are programmed to sound at intervals of 25 minutes, 30 minutes and 35 minutes. Given that the three alarms sound together at a particular time, determine the time, in hours, it will take for them to sound together again. (4 marks)
ALT B  AREA PART OF A CIRCLE  SECTION 1  QUESTION 13  KCSE 2010  FORM 2 LEVELThe figure below is a circle centre 0 of radius 10.5 cm. Angle AOB = 150°. Calculate the area of the shaded part of the circle, correct to 4 significant figures. (4 marks)
ALT B  RATES, RATIO & PERCENTAGE  SECTION 1  QUESTION 12  KCSE 2010  FORM 1 LEVELThe price of a shirt and that of a pair of trousers are increased in the same ratio. The price of the shirt is increased from Ksh 800 to Ksh1 200. If the new price of the pair of trousers is Ksh 2 700, calculate its original price.
(3 marks) ALT B  AREA OF QUADRILATERALS  SECTION 1  QUESTION 11  KCSE 2010  FORM 2 LEVELThe figure below shows a trapezium KLMN in which KN is parallel to LM, KN = 20 cm, MN = 12 cm, LM = 8 cm and ∠KNM = 36°. Calculate the length of the perpendicular from M to KN and hence find the area of the trapezium. (4 marks)
ALT B  LINEAR INEQUALITIES  SECTION 1  QUESTION 10  KCSE 2010  FORM 2 LEVELSolve the inequality 3x  2 < 10 + x ≤ 2 + 5x. (3 marks)
ALT B  GEOMETRICAL CONSTRUCTIONS  SECTION 1  QUESTION 9  KCSE 2010  FORM 1 LEVELUsing a pair of compasses and a ruler only, construct:
(a) a triangle ABC such that AB = 6 cm, BC = 3.5cm and CA = 4 cm; (1 mark) (b) a circle to pass through the vertices of the triangle ABC. (2 marks) ALT B  VOLUME & CAPACITY  SECTION 1  QUESTION 8  KCSE 2010  FORM 2 LEVELThe base of a rectangular water tank is 4 m long and 3.5m wide. The tank contains 21 000 litres of water. Calculate the height of the water in the tank. (3 marks)
ALT B  FRACTIONS  SECTION 1  QUESTION 7  KCSE 2010  FORM 1 LEVELWithout using a calculator, evaluate: (3 marks)
In the figure below, ABCDEF is a regular polygon. Line AB and EC are each extended to meet at G11/2/2024 ALT B  ANGLES AND PLANE FIGURES  SECTION 1  QUESTION 6  KCSE 2010  FORM 1 LEVELIn the figure below, ABCDEF is a regular polygon. Line AB and EC are each extended to meet at G. Calculate the size of angle BGC. (3 marks)
ALT B  LOGARITHMS  SECTION 1  QUESTION 5  KCSE 2010  FORM 2 LEVELUse logarithms to evaluate (43.2 X 0.015) / ∛0.00679 (4 marks)
ALT B  AREA OF A RECTANGLE  SECTION 1  QUESTION 4  KCSE 2010  FORM 2 LEVELThe length of a rectangular floor of a hall is 35.2m. If the diagonal of the floor is 37.7m, Calculate the area of the floor. (3 marks)
ALT B  ALGEBRA & INTEGERS  SECTION 1  QUESTION 3  KCSE 2010  FORM 1 LEVELGiven that x = 2, y = 3 and z = 5, evaluate [2x + 3 (y + z)] / 4yz. (2 marks)
ALT B  SQUARES & SQUARE ROOTS  SECTION 1  QUESTION 2  KCSE 2010  FORM 1 LEVELUse the prime factors of 7056 to find √7056 (2 marks)
ALT B  BODMAS  SECTION 1  QUESTION 1  KCSE 2010  FORM 1 LEVELWithout using a calculator, evaluate: 270 ÷ (90 x 2) + 7 x 440 ÷ 5. (2 marks)
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. kcse 1996  paper 1  section a  question 3  commercial arithmetic  form 1 levelThe cost of 5 skirts and 3 blouses is Kshs 1750. Mueni bought three of the skirts and one of the blouses for Kshs 850. Find the cost of each item (3 marks).
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)

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