KILOSA DISTRICT COUNCIL, FORM FOUR PRE-NATIONAL EXAMINATION – BASIC MATHEMATICS msomimaktaba, October 8, 2020 THE UNITED REPUBLIC OF TANZANIA PRESIDENT’S OFFICE REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT KILOSA DISTRICT COUNCIL FORM FOUR PRE-NATIONAL EXAMINATION BASIC MATHEMATICS 041 TIME:3:00 Hours Thursday 22nd,August 2019INSTRUCTIONS This paper consists of section A and B with a total of fourteen questions (14)Answer all questions from both sections. Each question in section A carries (6 marks) where as in section B each question carries (10 marks)All necessary working and answers for each question done must be shown clearlyMathematical table and graph papers may be usedCalculators, cellular phone and any unauthorised material are not allowed in the examination roomWrite your examination number on every page of your answer sheet/booklets provide SECTION A: 60 MARKS Write a number 699.79 in to:HundredsOnesTenthIts expanded form (a) Solve = (b) Solve for x: = (a) (i) A and B are sets defined as A = B =Find a set of (ii) Butundwe village has 200 families of which 180 have grown Serena and 165 have grown cassava in their private plots. How many families have grown both food crops if each family has grown at least one of the two crops? (b) A fair die and a coin are tossed once, what is the probability of tail on the coin and prime number of the die showing up? A line passes through the points (-2, -3) and (-5, 1). Find the equation of the line through (-2, _3) 0perpendicular to the given line. (a) (i) A line passes through the points (-2, -3) and (-5, 1). Find the equation of the line through (-2, _3) 0perpendicular to the given line. (ii) Determine the slope of the line — 4 = 0 (b) Given that; , , . Find(a) Find the length of in a figure below if , and A E 3cm C 5cm D 5cm B (b) Find the radius of the circle inscribed in a regular hexagon with perimeter 500m.(a) Madenge bought 60 bottles of water each 350ml for 60 peoples. Write the amount of water Madenge bought in litres (b) y varies jointly with x and inverse of the square root of z. when and , then . Find y in terms of x and z(a) If and evaluate (b) Find the total amount of money accumulated in 4 years from a principal amount of Tsh.60,000/= deposited in a bank, if the bank pays interest at the rate of 5 per annum.(a) Compute the sum of the first 10 terms of the series (b) The 4th, 6th and 9th terms of an arithmetic progression forms the first three terms of a geometric progression. If the first term of the Arithmetic progression is 3, determine the common difference and common ratio.(a) Angle A is acute if, find in simplified form of the value of (b) Show that, hence find the value of given that(a) Factorize completely (b) Solve for x and y from the equation and , use the substitutions andSECTION BThe table below shows the distribution of marks obtained by 40m students in a Mathematics test. Marks21-3031-4041-5051-6061-7071-80Frequency43415122 Use the class mark of the modal class as the assumed mean to calculate the mean markCalculate the modeDraw cumulative frequency curve and use it to estimate the median(a) The figure below shows a rectangular prism in which S R P O 4m D C 5m A 6m B Calculate the length of diagonal ARFind the angle diagonal AR makes with the floor(b) In the figure below O is the centre of the circle. Find an equation relating x and y. x y O (a) Given the matrix; A = , find . Hence find the value of x and y by matrix method given that; (b) A translation T carries the point (1, 2) to (-2, 8). Find the image of the point (5, -7) under T.A crafts man wishes to decide how many of each type A and B charcoal stove he has to fabricate in order to maximize profit for this Month. Unit profit for type A stove is Tsh.1000/= and Unit profit for type B stove is Tsh.1500/=. Type A stove requires 1m2 of mild steel sheet per unit and type B requires 2m2. He has only 12m2 of mild steel sheet available. He can fabricate a total of 8 stoves of either type per month. (a) How many of each type should he fabricate in order to maximize profit? (b) What is the maximum profit? ALL NOTES FOR ALL SUBJECTS QUICK LINKS:AGRICULTURE O LEVEL PURE MATHEMATICS A LEVELBAM NOTES A LEVELBASIC MATH O LEVELBIOLOGY O/A LEVELBOOK KEEPING O LEVELCHEMISTRY O/A LEVELCIVICS O LEVELCOMPUTER(ICT) O/A LEVELECONOMICS A LEVELENGLISH O/A LEVELCOMMERCE O/A LEVELACCOUNTING A LEVELGENERAL STUDIES NOTESGEOGRAPGY O/A LEVELHISTORY O/A LEVELKISWAHILI O/A LEVELPHYSICS O/A LEVELMOCK EXAMINATION PAPERSNECTA PAST PAPERS Form 4 Basic Mathematics Study Notes Form Four Past PapersPost navigationPrevious postNext postRelated Posts Form Four Past Papers Biology Form Four Past Papers – NECTA O Level October 16, 2019October 16, 2019Click The Links Below to download Past Papers Biology Year Questions/Answers 2018 Questions, Practical 2A, Advance Instruction 2A 2017 Questions, Practical 2A, Advance Instruction 2A, Practical 2B, Practical 2C 2016 Questions, Practical 2A, Advance Instruction 2A, Practical 2B, Advance Instruction 2B, Practical 2C 2015 Questions, Practical 2A, Advance Instruction 2A,… Read More Basic Mathematics Study Notes Form 4 Mathematics – AREAS AND VOLUMES November 13, 2018August 17, 2024 AREAS AND VOLUMES AREAS CASE 1.Right angled triangle Area = ½ b x h 2. Triangle with altitude that lies within the triangle Area 0f Δ ABC = ½ bh + ½ d h = ½ h(b + d) = ½ hL 3. A triangle where the altitude… Read More Form Four Past Papers Commerce Form Four Past Papers – NECTA O Level October 16, 2019October 16, 2019Click The Links Below to download Past Papers Commerce Year Questions/Answers 2018 Questions 2017 Questions 2016 Questions 2015 Questions 2014 Questions 2013 Questions 2012 Questions O LEVEL NECTA PAST PAPERS – Form Four (CSEE) Powered BY maktaba.tetea.org ALL NOTES FOR ALL SUBJECTS QUICK LINKS: AGRICULTURE O LEVEL PURE… Read More Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment *Name * Email * Website Save my name, email, and website in this browser for the next time I comment. Δ
Form Four Past Papers Biology Form Four Past Papers – NECTA O Level October 16, 2019October 16, 2019Click The Links Below to download Past Papers Biology Year Questions/Answers 2018 Questions, Practical 2A, Advance Instruction 2A 2017 Questions, Practical 2A, Advance Instruction 2A, Practical 2B, Practical 2C 2016 Questions, Practical 2A, Advance Instruction 2A, Practical 2B, Advance Instruction 2B, Practical 2C 2015 Questions, Practical 2A, Advance Instruction 2A,… Read More
Basic Mathematics Study Notes Form 4 Mathematics – AREAS AND VOLUMES November 13, 2018August 17, 2024 AREAS AND VOLUMES AREAS CASE 1.Right angled triangle Area = ½ b x h 2. Triangle with altitude that lies within the triangle Area 0f Δ ABC = ½ bh + ½ d h = ½ h(b + d) = ½ hL 3. A triangle where the altitude… Read More
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