KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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ALT B | TIME, DISTANCE AND SPEED | | FORM 1 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 16Below is a travel timetable for a bus travelling from town P to town S via towns Q and R.
If the distance between town P and town S is 220km, calculate the average speed at which the bus travels. (3 marks)
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ALT B | COMMERCIAL ARITHMETIC II | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 15A building was valued at Ksh 720 000 on 1st January 2007. The value of the building appreciated at 2% per annum in the first year. The value of the building then depreciated at the rate of 5% for the next 2 years. Calculate the value of the building at the end of year 2009. (3 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 | graphical methods | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 13The table below gives values of two variables x and y obtained from an experiment.
(a) On the grid provided below, plot the values of y against x and draw the line of best fit. (2 marks) ALT B | CIRCLES, CHORDS AND TANGENTS | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 12In the figure below, PRQS is a circle of radius 17cm. Line PQ is a diameter of the circle and is perpendicular to chord RS at T.
ALT B | SEQUENCE AND SERIES | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 11The second term of a geometric sequence is 24 and the fifth term is 192. Find the first term of the sequence. (3 marks)
ALT B | SCALE DRAWING | | FORM 1 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 9The area of each small square of the grid below is 64 mm².
Estimate in mm², the area of the figure drawn on the grid. (3 marks) ALT B | STATISTICS I | | FORM 2 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 8The pie-chart below represents the expenditure of a family in a certain month on maize, meat, vegetables, fruits and milk.
During that month, the family spent equal amounts of money on milk and fruits.
ALT B | COMPOUND PROPORTIONS | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 7An inlet pipe fills an empty water tank in 8 hours while an outlet pipe empties the full tank in 5 hours. When the tank is full, the inlet and outlet pipes are opened at the same time. Calculate:
ALT B | logarithms i | | FORM 2 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 1and give the answer correct to 5 significant figures. [2 marks]
ALT B | quadratic equations | | FORM 3 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 3Solve by factorisation, the quadratic equation:
2x²-3x-50 = 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 well-rounded evaluation of students' knowledge. The questions in the paper are thought-provoking 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 Al-Fatiha and derive lessons from it. The second section delves into the Hadith, examining the teachings of Surah Al-Nasir and Suratul Al-Asri. 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)
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