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2018 Yr11 Mathematics Task 1 with solutions
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DANEBANK DANEBANK MATHEMATICS PRELIMINARY COURSE ASSESSMENT TASK 1 2018 Name: Teacher: Mrs Flick Mr Campain Mrs Mandile Mrs Underwood (Please Circle) Date: April 2018 Reading Time: 5 minutes Time Allowed: 60 minutes Weighting: INSTRUCTIONS EXAM STRUCTURE Attempt all questions. SECTION 1: MULTIPLE CHOICE QUESTIONS 1 5 Write using black pen. 15 Allow about 8 minutes for this section Board approved calculators may be used. SECTION 2: QUESTIONS 6 8 A reference sheet is provided. In Questions 6 8 show relevant Allow about 52 minutes for this section mathematical reasoning calculations Total Marks: This paper must not be removed from the Examination Room. DANEBANK DANEBANK MATHEMATICS PRELIMINARY COURSE ASSESSMENT TASK 1 2018 Name: Teacher: Mrs Flick Mr Campain Mrs Mandile Mrs Underwood (Please Circle) Date: April 2018 Reading Time: 5 minutes Time Allowed: 60 minutes Weighting: INSTRUCTIONS EXAM STRUCTURE Attempt all questions. SECTION 1: MULTIPLE CHOICE QUESTIONS 1 5 Write using black pen. 15 Allow about 8 minutes for this section Board approved calculators may be used. SECTION 2: QUESTIONS 6 8 A reference sheet is provided. In Questions 6 8 show relevant Allow about 52 minutes for this section mathematical reasoning calculations Total Marks: This paper must not be removed from the Examination Room. Section I 5 Marks Attempt questions Allow about 8 minutes for this section. Use the answer sheet for questions 1 5. 1. Which of the following is an expression for x2 5x 6 ? (A) (B) 6) (C) (D) (x 2) 2. 5x 125 can be rewritten as: (A) x log125 5 (B) 125 log5 x (C) log5 125 x (D) 5 logx 125 3. 2x X 5x is equal to: (A) 7x (B) 72x (C) 10x (D) 102x Year 11 Mathematics Assessment Task 1, 2018 1 Section I 5 Marks Attempt questions Allow about 8 minutes for this section. Use the answer sheet for questions 1 5. 1. Which of the following is an expression for x2 5x 6 ? (A) (B) 6) (C) (D) (x 2) 2. 5x 125 can be rewritten as: (A) x log125 5 (B) 125 log5 x (C) log5 125 x (D) 5 logx 125 3. 2x X 5x is equal to: (A) 7x (B) 72x (C) 10x (D) 102x Year 11 Mathematics Assessment Task 1, 2018 1 Section II 38 marks Attempt questions 6 9. Allow about 52 minutes for this section. Answer each question in the appropriate writing booklet. Your responses should include relevant mathematical reasoning calculations. Question 6 (13 marks) Start a NEW booklet Marks (a) Simplify: V32 V18 v2 1 (b) Evaluate four significant figures correct to 2 71 x 5 (c) Find the points of intersection of the graphs of the following equations. 2 (d) (i) Rationalise the denominator of: 2 2 2 V3 (ii) Find integers a and b such that: 1 (e) Expand and simplify (3x 5y) (2x 4y) 1 (f) Solve 2 (g) Is the function f(x) even, odd or neither? (show full working) 2 Year 11 Mathematics Assessment Task 1, 2018 3 Section II 38 marks Attempt questions 6 9. Allow about 52 minutes for this section. Answer each question in the appropriate writing booklet. Your responses should include relevant mathematical reasoning calculations. Question 6 (13 marks) Start a NEW booklet Marks (a) Simplify: V32 V18 v2 1 (b) Evaluate four significant figures correct to 2 71 x 5 (c) Find the points of intersection of the graphs of the following equations. 2 (d) (i) Rationalise the denominator of: 2 2 2 V3 (ii) Find integers a and b such that: 1 (e) Expand and simplify (3x 5y) (2x 4y) 1 (f) Solve 2 (g) Is the function f(x) even, odd or neither? (show full working) 2 Year 11 Mathematics Assessment Task 1, 2018 3 Question 7 (6 marks) Start a NEW booklet Marks (a) Find the values of X for which 2 (b) Show that 0 16 2 (c) Factorise completely 2 Question 8 (6 marks) Start a NEW booklet (a) Factorise a3 8b 3 1 (b) Make neat sketches of the following equations on separate sets of axes. Mark clearly the essential features of each graph. i. 2 1 ii. 2 2 Year 11 Mathematics Assessment Task 1, 2018 4 Question 7 (6 marks) Start a NEW booklet Marks (a) Find the values of X for which 2 (b) Show that 0 16 2 (c) Factorise completely 2 Question 8 (6 marks) Start a NEW booklet (a) Factorise a3 8b 3 1 (b) Make neat sketches of the following equations on separate sets of axes. Mark clearly the essential features of each graph. i. 2 1 ii. 2 2 Year 11 Mathematics Assessment Task 1, 2018 4 Year 11 Mathematics Task 1 2018 Question Mark Max Mark Topic Outcome 1 1 BAA P3 2 1 BAA Log P3 3 1 BAA P3 4 1 BAA P3 5 1 Real Functions P5 Total MCQ 6(a) 1 BAA Surds P3 6(b) 2 BAA P3 6(c) 2 BAA P3 6(d)i 2 BAA Surds P3 6(d)ii 1 BAA Surds P3 6(e) 1 BAA P3 6(f) 2 BAA Log P3 6(g) 2 Real Functions P5 Total Q6 7(a) 2 BAA Absol. Value P3 7(b) 2 BAA P3 7(c) 2 BAA P3 Total Q7 8(a) 1 BAA P3 8(b) 5 Real Functions P5 Total Q8 9(a) 1 BAA P3 9(b)i 1 BAA P3 9(b)ii 2 BAA P3 9(c)i 2 Real Functions P5 9(c)ii 1 Real Functions P5 9(d)i 2 BAA P3 9(d)ii 2 BAA P3 9(e) 2 Real Functions P5 Total Q9 BAA Real Functions TOTAL Year 11 Mathematics Task 1 2018 Question Mark Max Mark Topic Outcome 1 1 BAA P3 2 1 BAA Log P3 3 1 BAA P3 4 1 BAA P3 5 1 Real Functions P5 Total MCQ 6(a) 1 BAA Surds P3 6(b) 2 BAA P3 6(c) 2 BAA P3 6(d)i 2 BAA Surds P3 6(d)ii 1 BAA Surds P3 6(e) 1 BAA P3 6(f) 2 BAA Log P3 6(g) 2 Real Functions P5 Total Q6 7(a) 2 BAA Absol. Value P3 7(b) 2 BAA P3 7(c) 2 BAA P3 Total Q7 8(a) 1 BAA P3 8(b) 5 Real Functions P5 Total Q8 9(a) 1 BAA P3 9(b)i 1 BAA P3 9(b)ii 2 BAA P3 9(c)i 2 Real Functions P5 9(c)ii 1 Real Functions P5 9(d)i 2 BAA P3 9(d)ii 2 BAA P3 9(e) 2 Real Functions P5 Total Q9 BAA Real Functions TOTAL Solutions Year 11 Mathematics 2018 i. B Task I (half yrly) l 2. x C 3. (2x5)2 c 9. A 5 D. Question 6 13 as 532 J16x2 19x2 452 252 b) 1. 1 4sigfig 2 c) y x y (1) (2) (imax.) in(1) , 0 2 d) i) 2 x 2 ii) 54x53 445 I Solutions Year 11 Mathematics 2018 i. B Task I (half yrly) l 2. x C 3. (2x5)2 c 9. A 5 D. Question 6 13 as 532 J16x2 19x2 452 252 b) 1. 1 4sigfig 2 c) y x y (1) (2) (imax.) in(1) , 0 2 d) i) 2 x 2 ii) 54x53 445 I 3 Question 7 al 2x 74 2x x 2 x 1 b) 0 let x 10x :. 9x 3 9 16 45 c) y 3 Question 7 al 2x 74 2x x 2 x 1 b) 0 let x 10x :. 9x 3 9 16 45 c) y 4 Question 8 as a3 3 t 2ab 462) b) i) y 2 x (xxil ii) y I sc y I TA I I 4 Question 8 as a3 3 t 2ab 462) b) i) y 2 x (xxil ii) y I sc y I TA I I Q9 ctd 6 d)ijy 11 2x 2x4 3y 2xx 2x 2 2y 16 y if ii) 3x4 xy 27 3x4 3 9x3 3x4 V3 3x4 3rt e) f(x) dom : 700 Range: osysz test 200 Q9 ctd 6 d)ijy 11 2x 2x4 3y 2xx 2x 2 2y 16 y if ii) 3x4 xy 27 3x4 3 9x3 3x4 V3 3x4 3rt e) f(x) dom : 700 Range: osysz test 200
2018 Yr11 Mathematics Task 1 with solutions
Subject: math advanced
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