MATH-March-QP & Memo-2015-Gr10_hlayiso.com_.pdf

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Downloaded from hlayiso.com Mathematics (Grade 1) NSC March 2015 Common lest > INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions: 1. 2. This question paper consists of 4 questions. Answer ALL the questions. Clearly show ALL calculations, diagrams, graphs, et cetera, which you have used in determining the answers, Answers only will NOT necessarily be awarded full marks. You may use an approved scientific calculator (non-programmable and non-graphical) may be used, unless stated otherwise. If necessary, round off answers to TWO decimal places, unless stated otherwise. Number the answers correctly according to the numbering system used in this question paper. Write neatly and legibly. Copyright reserved Please turn over ()

Downloaded from hlayiso.com Mathematics {Grade 10} NSC Match 2015 Common Test 3 QUESTION 1 1.1 Determine the product of the following expression: (2x ~ yx? + Oxy+ y) 1.2 Simplify the following expressions fully: 2 tay Yole yr4 I-84 1 1 12.20 ————+—— x —3x-4 4-x A square frame drawn below encloses an area of 190 cm’. 1.3 r x 13.1 Calculate x, the length of the side of the frame, without using a calculator, 1.3.2 Is the length of the side of the frame a rational or irrational number? 1.3.3 Determine between which two consecutive integers the length will lie. QUESTION 2 2.1 . Without using a calculator, simplify the following expression fully: 15% x 3h" 5 2.2 Solve for x in the following equations: 2.2.1 2" = 0,25 2.2.2 537 =5 Copyright reserved Please turn over (2) 4) (5) (2) 1) @) [16] (3) GB) G) i)

~ Downloaded from hlayiso.com ioe Mathematics (Grade 10) NSC March 2015 Common Test 4 QUESTION 3 3.1 Solve for x: (x-3)(2x +9) = 0 (2) 3.2 Solve for x and illustrate the solution on a number line: —3(x ~2) > 21 (3) 3.3 Solve for xand y simultaneously: x+2y=11 and 2x-3y=-6. (4) 3.4. Whilst on holiday, a family of 2 adults and 4 children stay at a hotel for 7 days. The hotel charges R300 less per day for a child than an adult. The bill for the 7-day holiday is R21 000. How much does the hotel charge for an adult? Show all your working details. (4) 3.5 If (x3 +5x% y = (x? ~ 5x7 +a, calculate the value of a. (4) [17] QUESTION 4 Beads are placed next to each other to form the arrangements as shown below: Arrangement | Arrangement 2 Arrangement 3 9 ©,0©.© ©. 6.6.0.0 ©,®© ©. 9. © © ©.© © © © oO .©) © © © : © © 9% oO 4.1 Write down how many beads will there be in the next two arrangements? (2) 4.2 Determine an expression for the n-th term of the arrangement? (2) 43 Determine how many beads will there be in the 150th arrangement? (2) 4.4 Determine the arrangement in which there will be 448 beads? (2) [8] Copyright reserved TOTAL MARKS: 50

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