BASIC MATHEMATICS TERMINAL EXAMINATIONS FORM IV msomimaktaba, October 8, 2020 PRESIDENT’S OFFICE REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT MARY WILSON GIRLS’ SECONDARY SCHOOL BASIC MATHEMATICS TERMINAL EXAMINATIONS FORM 4 -2019 Duration: 02:30 Hours Friday , 14th June, 2019 INSTRUCTIONSThis paper consists of section A and B.Answer all questions in section A and any four (4) questions from section B.Mathematical tables and Geographical instruments may be used whenever it is necessary.Whenever it is necessary use π = 3.14 and R= 6370 km SECTION A: (60 Marks) Answer all questions in this section (a) Use mathematical table to evaluate , give your answer to the nearest whole number.(b) Express 3.2121… in the form a/b where a and b are integers and b 0 a) Evaluate 2b) Solve for x if (9-1)c) Calculate the value of x in the equation (½ (a) The universal set has n() = 23 and its two subsets A and B has n(A) = 17 and n(B) = 8. If n(AB) = 3, determine n (A B)/ (b) The Venn diagram below shows the Universal set and its two subsets P and Q 7 3 02 83 9 4 10 P Q List down the elements of (i) P⋃Q (ii) Q (iii) P Q (iv) P Q a) Find the equation of a straight line passing through (-4, 2) and which is perpendicular to the line whose equation is x + 2y – 4 = 0b) Given vectors V = 3i + j and U = 6i + 8j, evaluate–⋃ (ii) ││ ││ a) i) Prove that triangle is similar to triangle in the figure below. B D C E A ii) If EC = 20cm, calculate the value of b) Find the area of a regular polygon of sides, inscribed in a circle of radius 4cm a) A sales man bought goods from South Africa for 30, 000/= rands. When hearrived in Tanzania he was charged a tax of How much Tanzania shillings did he pay as tax? (Assume that 1 South Africa rand 100 Tsh). b) The variable varies directly as square of Y and inversely as Find the value of when and, given that and when(a) Bakari sold a phone at a price of 400Tsh and made a profit of Determine the buying price of a phone.(b) Find a simple interest on Tsh. 50, 000/= invested for 18 Months at the rate of 15% per annum.(a)If a sequence x, 5 , 1 – 4x is an Arithmetic sequence. Calculate the value of(b) Find the first term and the common ratio of a geometric progression whose third term is and the 8th term is – 96.(a) Given that SinA and CosB where A is obtuse angle while B is acute angle. Find the value of Cos (A + B) b) Find in the triangle below. A 0 0 B C (a) Factorize the expression x2 + 5x + 6 b) Given the right angled triangle below. Calculate the length of hypotenuse side. A (2x + 1) cm 2x cm C (x – 1) cm B SECTION B (40MARKS) Answer any four (4) questions. 11. A factory needs to employ new workers. It employ skilled and unskilled workers. The conditions are; there cannot be more than workers. There are must be at least skilled workers. Each skilled worke is paid per day and each unskilled worker is paid per day. The total wages cannot be more than Write down inequalities in and for the above conditions.Illustrate these inequalities, shading out the unwanted region. Each skilled worker produces items per day and each unskilled worker produces items. Use the graph to find how many workers of each type should be hired to maximize production. 12. The table below shows the test scores of a certain class in mathematics at Juhudi Secondary School. 2121212222222223232424242124242526272727 Construct a frequency distribution table showing scores (X) and frequency (f) By using a frequency distribution table in (a) above, calculate Median scoreMean scoreMode score Draw the Histogram to present the data. 13. a) By using the figure below, show that = if O is the centre of the circle and = 0 O X Y N Page 4 of 5b) If O is the centre of a circle, and andProve that = T N Q O K c) Calculate the distance between (0, 0) and (0, 0). Give your answer in nautical miles (nm) Tabiseni traders started business on 1st April 2014 with capital in cash 3 263 000/= April 2: purchases for cash 234 000/=2: purchases goods for cash 1 400 000/=3: bought furniture for cash 203 000/=3: sold goods for cash 402 000/=4: purchases shelves for cash 150 000/=5:sold goods for cash 1 600 000/=9:Paid wages for cash 32 000/=20: paid rent for cash 72 000/=21:cash sales 375 000/=22:bought goods for cash 314 000/=26:paid salaries for cash 52 000/=29:paid electricity 41 000/=RequiredPrepare cash accountPrepare the trading and profit and loss account as at 31st 2014 15. a) The matrix is singular. What is the value of k? b) Given A = find: i) ii) Use your answer in (i) to solve equation c) Find the image of the line y = – x under reflection in the 16. a) A card is chosen at random from a park of cards numbered What is the probability that it is:Multiple of 3?Multiple of 8?Multiple of 3 and 8?Multiple of 3 or 8?b) A function is defined as = x2 + 3 i) Find ii) Write down the domain and range of iii) Calculate the Axis of Symmetry ofPage 5 of 5 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 Computer Studies Form Four Past Papers – NECTA O Level October 16, 2019October 16, 2019Click The Links Below to download Past Papers Computer Studies Year Questions/Answers 2017 Paper 1, Paper 2 2016 Paper 1 2015 Paper 1, Paper 2 2014 Paper 1, Paper 2 2013 Paper 1, Paper 2 2012 Paper 1, Paper 2 2011 Paper 1, Paper 2 2010 Paper 1, Paper 2… Read More 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 Form Four Past Papers Geography Form Four Past Papers – NECTA O Level October 16, 2019October 16, 2019Click The Links Below to download Past Papers Geography Year Questions/Answers 2018 Questions 2017 Questions 2016 Questions 2015 Questions, Questions (Private) 2014 Questions, Questions (Private) 2013 Questions, Questions (Private) 2012 Questions 2011 Questions 2010 Questions, Questions (Private) 2009 Questions 2008 Questions 2007 Questions 2005 Questions O LEVEL NECTA PAST… Read More Leave a Reply Cancel replyYour email address will not be published. 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Form Four Past Papers Computer Studies Form Four Past Papers – NECTA O Level October 16, 2019October 16, 2019Click The Links Below to download Past Papers Computer Studies Year Questions/Answers 2017 Paper 1, Paper 2 2016 Paper 1 2015 Paper 1, Paper 2 2014 Paper 1, Paper 2 2013 Paper 1, Paper 2 2012 Paper 1, Paper 2 2011 Paper 1, Paper 2 2010 Paper 1, Paper 2… Read More
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