Tiêu đề Copy of T930 - MATHEMATICS N1 QP AUG 2015.pdf ✅

Copyright reserved Please turn over T930(E)(A6)T AUGUST EXAMINATION NATIONAL CERTIFICATE MATHEMATICS N1 (16030121) 6 August 2015 (Y-Paper) 13:00–16:00 REQUIREMENT: Graph paper Scientific calculators may be used. This question paper consists of 7 pages and 1 formula sheet of 2 pages.
(16030121) -2- T930(E)(A6)T Copyright reserved Please turn over DEPARTMENT OF HIGHER EDUCATION AND TRAINING REPUBLIC OF SOUTH AFRICA NATIONAL CERTIFICATE MATHEMATICS N1 TIME: 3 HOURS MARKS: 100 INSTRUCTIONS AND INFORMATION 1. 2. 3. 4. 5. Answer ALL the questions. Read ALL the questions carefully. Number the answers according to the numbering system used in this question paper. Round answers off to three decimal numbers (where applicable). Write neatly and legibly.
(16030121) -3- T930(E)(A6)T Copyright reserved Please turn over QUESTION 1 1.1 1.1.1 250 km /h equals ... m/s. (2) 1.1.2 The reciprocal of 20 is ... (1) 1.1.3 Express 370 mm as a percentage of 1,225 m. (2) 1.2 Given: 7 4 7 3    x x 1.2.1 ... is the exponent of x. 1.2.2 7 is the ... of x-3 . 1.2.3 ... is the variable. 1.2.4 ... is the constant term. 1.2.5 The number of terms is ... (5 x 1) (5) [10] QUESTION 2 2.1 Simplify the following by only making use of exponential laws: 5 5 15 0 0 8 243 5( ) a a a b  (4) 2.2 Subtract 14a 24b 8c from 12b  4a  10c. (3) 2.3 Simplify: 6 2 4 8 4 16  a  a  a (3) 2.4 Divide 12 14 5 3 2 d  d  d  by d  1. Then indicate the quotient and remainder. (7) 2.5 Remove the brackets and simplify the following : ( 3)( 3 10) 2 y  y  y  (5) [22]
(16030121) -4- T930(E)(A6)T Copyright reserved Please turn over QUESTION 3 3.1 Show the prime factors of each of the following expressions: ab c a bc a bc 2 2 3 81 30 12 Now determine the highest common factor (HCF) and the lowest common multiple (LCM) of the expressions. (7) 3.2 Simplify the following logarithms without the use of a calculator. Show ALL the steps. log5 25 3log10 100 log3 9  log2 32 (5) 3.3 Simplify the fraction: a b 5ab 8 2 1 3 4 2   (4) 3.4 Simplify the following: 20 4 4 2 2 xy xy xy x y    (4) [20] QUESTION 4 4.1 Solve for x: 11  5x  5  6(10  x) (4) 4.2 The sum of THREE successive uneven numbers is 21. Determine the THREE numbers. Let the first number be x. (5) 4.3 V r h 2 2 1   is the formula used to calculate the volume of a cone . Manipulate the formula to make r the subject of the formula. (3) 4.4 Calculate the value of r in QUESTION 4.3 if V = 9 and h = 5. (2) [14]