MATH-March-QP & Memo-2016-internal-Gr10_hlayiso.com_.pdf

Downloaded from hlayiso.com GR. 10 MATHEMATICS — MARCH EXAMINATION ~ 2016 GSS Page 1 of 4 basic education | Department: - a - <Basic Education _. REPUBLIC OF SOUTH AFRICA MARKS: 50 EXAMINER : .D. CHELLAN TIME: 1 hour MODERATOR : R. DEMRUGARAM This question paper consists of 4 pages (including this page). P.T.O, ,..Page 2/ INSTRUCTIONS

Downloaded from hlayiso.com GR. 10 MATHEMATICS — MARCH EXAMINATION ~ 2016 GSS Page 2 of 4 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. 2. N This paper consists of 4 pages and 6 questions. Answer ALL questions. . Number your answers EXACTLY as the questions are numbered. | , If necessary, answers should be rounded off to TWO decimal digits, unless otherwise stated. ( ) All the necessary working details must be shown. Answers only will not necessarily be awarded full. marks. . It is in your own interest to write legibly and to present the work neatly. . An approved calculator (non-programmable and non-graphical) may be used unless stated otherwise. QUESTION 1 1.1 For which value(s) of x forxe {8 ; -1; 5}isvV4 + x : C 1.1.1. a rational number (1) 4.1.2 an irrational number (2) 1.2. Determine the two consecutive integers V53 lies between. (2) [5] P,T.O, ....Page 3/ QUESTION 2

GR. 10 MATHEMATICS — MARCH EXAMINATION ~ 2016 Downloaded from hlayiso.com QUESTION 2 2.4 (3x + 2)(x + 1) Determine the following products: 2.2 (2x + 3)(4x? ~ 6x + 9) 23 @Q+b-4)(a+b+4 4) QUESTION 3 3.1 8x? - y3 3.2 3x’ + Ixy - By? 3.3 2x? -~ 32 QUESTION 4 Simplify the following: 4x2 12% + 36 Se x~2 x~ 1 3x 5 4.2 x-1 * 2~x x2 — Bx 4 2 4.3 Factorise fully: 23x74 . geri 42X—~ 2 a 5x SX 4 BAI GSS Page 3 of 4 (3) (3) (4) [10] (2) (2) (3) [7] (3) (6) (4) (4) [17] P.T.O, ....Page 4/ QUESTION 5

Downloaded from hlayiso.com GR. 10 MATHEMATICS — MARCH EXAMINATION ~ 2016 GS.S Page 4 of 4 QUESTION 5 The city council plans to beautify the city centre with flower beds surrounded by hexagonal paving slabs according to the pattern in the sketches below. One bed Two beds 5.1 How many hexagonal slabs are needed to surround four flower beds? 5.2 Write a formula to generalise the relationship between the number of hexagonal paving slabs(n) and the number of flower beds(T,) 5.3 How many hexagonal paving slabs are needed for 20 flower bed? 5.4 Which flower bed will have 142 hexagonal paving slabs? QUESTION 6 Ifa + b = 5andab = 2, determine the value of a’ + b*. (Show all necessary working details) (1) (3) (2) (2) [8] [3] TOTAL : 50 MARKS

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