November Examination 2015

Transcription

1 POLYTECHNIC OF NAMIBIA SCHOOL OF HEALTH AND APPLIED SCIENCES DEPARTMENT OF MATHEMATICS AND STATISTICS QUALIFICATION(S): Bachelor of Regional and Rural Development, Bachelor of Communication, Bachelor of Technology Public Management, Bachelor of Supply Chain Management, Bachelor of Public Management, Bachelor of Office Management and Technology, Bachelor of Natural Resources Management, Bachelor of Emergency Medical Care QUALIFICATION CODE:07BRRD,2BACO,07BLSM,24BPMA,24BPMN,07BOMT,07BNTC, 07BRMC NQF LEVEL: COURSE NAME: COURSE CODE: BASIC MATHEMATICS BMS411S DUE DATE: November 201 TIME: MARKS: 100 3hours November Examination 201 EXAMINER(s): Mr. J Amunyela, Ms. Aina Shaanika, Ms. Yvonne Shaanika,. MODERATOR: INSTRUCTIONS: Ms Susan Mwewa 1. For QUESTION 1 write down the letter corresponding to the best option for each question 2. For QUESTION 2 & 3 show clearly all your work 3. All written work MUST be done in blue or black ink and sketches only in pencil PERMISSIBLE MATERIALS 1. Non-Programmable Calculator ATTACHMENTS: None This paper consists of 6 pages including this cover 1

2 SECTION A Question 1[26 Marks] 1.1 Which of the following numbers is a prime number? [2] A.2 B.4 C.6 D Decompose into prime factors 4848 [2] A B C D The expression ( 2 3 1) 2 + ( ) simplifies to: [3] A.-1 B C D Factorize [3] A.(6 9 )(4 6 ) B.(3 + 2 )(2 3 ) C.6( 2 ) (9 4 ) D.3 (2 3 ) + 2 (2 3 ) 1. What is the solution to the following equation? 1 3 ( + ) 2 3 = 0 [3] A.1 B. 2 C. D In a Mathematic class the number of boys is three more than four times the number of girls. Which of the following expressions represent the number of boys in the class if the number of girls is? [3] A.3 4 B C. + (4 + 3) D. > (4 + 3) 1.7 If A is a set of all even numbers and B is the set of all odd numbers, then =? [2] A.Universal set B.A set of all numbers C.Empty set D.zero set 2

3 1.8 Determine the values of,, given that [3] = A. = 4; = 22; = 2 B. = 4; = 26; = 2 C. = 4; = 22; = 2 D. = 2; = 22; = Given = (1 2), = 3 4 = 2 which of the following matrix 3 6 calculations is not possible? [3] A. B. C. D Ms Nangula wants to share six apples in the ratio of her daughter s ages (Anna to Rosa).If Anna is 1 year old and Rosa is 2 years old, how many apples Anna is going to get? [2] A.2 apples B.4 apples C.3 apples D.6apples 3

4 SECTION B (Show all your calculations) Question 2 [33 Marks] 2.1. A group of girls bought 72 rainbow hairbands, 144 brown and black hairbands, and 216 bright-coloured hairbands. What is the largest possible number of girls in the group if each girl has the same number of each colour of hairband and no leftover? [] 2.2. Simplify the following expressions: [3] (240 4) (28 16) (23 4) [4] Factorize the expression + [4] 2.4 In 2008 a number of 200 vehicles were sold at the government auction. In the first three hours the auctioneer sold 3 of the vehicles. In the next 2 hours, he sold 1 of the remaining number of vehicles. In the last hour the auctioneer sold 1 of the original number of vehicles How many vehicles were sold during the first five hours? [4] How many vehicles were sold in the last three hours [3] 2. Solve the linear equation 3( +1) 2 + 2( 3) 3 [] = 1 [] 4

5 Question 3 [41 marks] 3.1 In a survey of 200 households regarding the ownership of desktop (D) and laptop computers (L), the following information was obtained: 120 households own only desktop computers, 10 households own only laptop computers and 40 households own neither desktop nor laptop computers Represent the given information on a Venn diagram [4] Write down an equation in terms of which represents the universal set. [3] How many households own both desktop and laptop computers? [2] 3.2 Given the universal set = {2,3,4,,6,7,8,9,10,11} and Find = { : 3} = { + 1: 2 < < 7} = { : } [2] [2] [3] [1] 3.3 Given those matrices = 2 3 3, = 0 ;find [8] ( ) [2]

6 3.4 Determine the values of the variables in the following: 2 + = 2 1 [8] John wants to have a total of N$300 in two years so he can take a trip to Cape Town. He finds an account that pays 4% interest p.a, compounded semi-annually How much should John put into this account so that he ll have N$300 at the end of two years. [4] 3.6 Rauna invests N$ in a bank account at FNB,which earns interest.after 1 year Rauna has N$104 in the account How much interest did Rauna receive from the bank? [2] ******************************END OF EXAMINATION********************************* 6