## New QMaths 12 Selected Worked Solutions PDF eBook on DVD

### By Beth Addison-Smith, Miles Ford, Kerry Gibbs, David Goodwin, Tania Haigh, Tamara Ham, Daphne Leggo, David Mander, Zoe Matthews, John McKinlay, Michael Mooney, David Watkins, Julie Watson-Hayward, Roger Walter | Copyright Year:2011 | ISBN-13: 9780170195836

Published:09/02/2011
The selected worked solutions for New Q Maths 12A, 12B and 12C are all contained on this DVD for Year 12. The solutions have been chosen to assist students with the middle level to difficult questions in the textbooks. They are representative and provide students with an opportunity to consolidate and apply the approach they develop to other problems of the same type. A large number of problem-solving and modeling questions have accordingly been included in the selection. The solutions are presented in the same way as the examples in the textbook, with explanation on the left and the mathematical steps on the right.

eBook features include:
• Adobe annotation tools are enabled, allowing the user to highlight text and add notes and links to their own files and save their annotations
• Printing enabled
• School site licences available for schools that have adopted any of the New Q Maths 11 and 12 textbooks.
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### CONTENTS

New Q Maths 12A Selected Worked Solutions

Exercise 1.1: 3a,b, 4a,b,c, 5a,b,c, 6a,b,c
Exercise 1.2: 1a,c, 2a, 3a, 4a
Chapter 2 Land measurement I
Exercise 2.1: 1a, 2a, 5a,b,c, 7, 8a, 9, 11, 12, 13, 14a
Exercise 2.2; 1, 3, 4
Exercise 2.3: 1, 3, 5a,b,c,d, 8, 9
Exercise 2.5: 1, 2, 5
Chapter 3 Simple and compound interest
Exercise 3.1: 5a,b,c, 7, 8, 12, 13, 14, 19, 20
Exercise 3.2: 2, 5, 6, 11a, 13a,b, 14, 17, 18a,b
Exercise 3.3: 2a, 3, 5, 7, 10
Exercise 3.4: 1a, 3
Chapter 4 Exploring data I
Exercise 4.1: 1a, 2a, 5a, 6, 8a,b
Exercise 4.2: 2, 4a, 6a, 7, 10a,b
Exercise 4.3: 1a, 5, 7, 9, 11
Chapter 5 Depreciation and growth of money
Exercise 5.1: 1, 3, 4a,b,c, 7, 8
Exercise 5.2: 1a,b,c,d, 5, 7, 8a,b
Exercise 5.3: 1, 2, 5, 8, 14, 15a,b, 18a,b,c
Exercise 5.4: 2, 4a, 9, 10
Chapter 6 Exploring data II
Exercise 6.1: 1a,b,c,d,e,f, 81,b, 10a,b
Exercise 6.2: 1a,b,c,d,e, 2a,b,c, 4, 9, 11a,b, 14, 17
Exercise 6.3; 1a,b,c,d,e, 3a,b, 15a,b,c
Chapter 7 Linear programming I
Exercise 7.1: 6a,b,c,d, 7a,b,c,d, 9a,b,c,d,e,f
Exercise 7.2: 1a, 2,4,6
Exercise 7.3: 1a,b,c,d, 3a,b,c,d, 4a,b,c,d
Chapter 8 Networks and queuing I
Exercise 8.1: 3a, 4, 6a
Exercise 8.2: 1a, 3a,b
Exercise 8.3: 1a, 2, 4a,b, 5, 6
Chapter 9 Data models I
Exercise 9.1: 4a,b,c,d,e,f, 6, 7, 8, 9
Exercise 9.2: 3, 6, 8, 10, 11, 14, 16
Exercise 9.3: 2a,b,c,d, 6a,b, 8, 11a,b
Exercise 10.1: 1a, 2a, 3a,b,c,d,e,f, 4a,b,c, 5a,c, 6a,c, 8, 9a,b
Exercise 10.4: 1a, 2a, 4, 7, 8
Exercise 10.5: 1a, 2a, 4
Chapter 11 Land measurement II
Exercise 11.1: 3a,b,c, 4a,b,c, 5a,b,c,d,e,f
Exercise 11.2: 1a,b,c(i),d(i), 3a,b, 5a,b,c,d,e,f, 9
Exercise 11.3: 1a,b,c,d,e,f, 2a,b,c,f, 5
Chapter 12 Loans and credit
Exercise 12.1: 1, 6, 11, 14
Exercise 12.2: 1a, 2a,b, 3a, 4, 6
Exercise 12.3: 3a,b,c, 6
Chapter 13 Exploring data III
Exercise 13.1: 1, 3, 7
Exercise 13.2: 1a,b,c, 4a,b,c,d,e,f
Exercise 13.3: 2a,b,c, 5, 9a,b,c,d
Exercise 13.4: 1a,b, 2a,b, 4a,b,c, 6, 7
Chapter 14 Investing money
Exercise 14.1: 2a,b, 5
Exercise 14.2: 1a,b, 2a, 3a, 4a, 5a,b, 7
Exercise 14.3: 1a,b,c,d,e, 2a,b,c, 4a,b,c,d, 5a,b, 9, 10, 12
Exercise 14.4: 1, 4, 8a,b
Chapter 15 Linear programming II
Exercise 15.1: 2, 4
Exercise 15.2: 1a,b,c, 4a,b,c,
6a,b,c, 8a,b,c
Exercise 15.3: 1a,b,c,d,e,
3a,b,c,d,e,f,g,h
Chapter 16 Networks and queuing II
Exercise 16.1: 1, 3
Exercise 16.2: 1a, 2a,b, 4a,b,c,d
Exercise 16.4: 1a,b, 3, 4
Exercise 16.5: 1a(i),b, 2a,b,c,d, 7a,b,c, 8a,b,c
Chapter 17 Data models II
Exercise 17.1: 2, 4
Exercise 17.2: 9a,b, 11a,b, 12, 13
Exercise 17.3: 1a,b, 2a,b,c, 4a,b,c, 7

New Q Maths 12B Selected Worked Solutions

Chapter 1 Quadratic, cubic and polynomial functions
Exercise 1.1: 2a,c, 3a,d, 7a,d, 9b,c,d, 11
Exercise 1.2: 3a,b, 4a,e,i
Exercise 1.3: 1a,b,e, 2b, 3, 4
Exercise 1.4: 2a, 9a,b, 10a,b, 11a,b,e, 14, 16a,b,c,d,e
Exercise 1.5: 1a,b,c,d, 3a, 5a,c,e, 6a, 7a, 10a,b, 11
Exercise 9.5: 2a,e, 3a,b,c,d,e, 8a,b,c,d,e,f
Chapter 2 Derivatives of sine and cosine
Exercise 2.1: 3a, 4a, 8b, 9a, 11a, 14a, 15a, 16a, 17a,d,e, 19a,b, 20, 21a,b,c, 23a,b,c,d
Exercise 2.2: 2a,f,g,l, 5a,d,g, 6a,b,f, 9a,b,c
Exercise 2.3: 1a,e, 2a,c,f, 3c,f, 4
Exercise 2.4: 1, 3a,b,c, 5, 6, 9a,b, 10
Chapter 3 Exponential and logarithmic functions and derivatives
Exercise 3.1: 1a, 2a,b, 5d,f, 6a,c,l,j, 7a,d, 8a,d, 10a, 13a,e, 14a
Exercise 3.2: 3a,d,e, 5a,f,g, 6b, 8a,b,d,e,j, 10a,b,e,h,n,o,t
Exercise 3.3: 1a,f, 2d,e, 3a,b,e,g, 4a,b,c, 5a, 6a,b,c
Exercise 3.4: 1a,b,d,g, 2a,c,e, 3, 4a,e, 5a,g,j,m,n, 6g,h, 7
Exercise 3.5: 4a,c,d,h, 5a,b,f
Exercise 3.6: 4a,c,e,h, 5b,c,f
Exercise 3.7: 2a,b, 3, 4a,b,c, 5a,b, 7, 9, 12
Chapter 4 Integration
Exercise 4.1: 1a, 3a, 5a
Exercise 4.2: 1a,d,g,k, 2a, 6
Exercise 4.3: 1a,b,c,h, 3a,g,j, 4, 5, 7
Exercise 4.4: 2a, 6a, 8a, 11a, 12a, 13a, 17, 19
Exercise 4.5: 1a,b,c,d, 3, 6, 8
Chapter 5 Binomial and normal distributions
Exercise 5.1: 1a,b, 3a,b,c, 8, 10
Exercise 5.2: 4, 6, 13, 15a,b, 17, 20, 21, 23, 25
Exercise 5.3: 1a,b,c,d,e, 2a for n=5, 8, 10, 12
Exercise 5.4: 2a,b,c,d,e,f, 6a,b,c,d,e,f, 10a,c, 12a, 13, 16, 18, 19a,b, 22a,b,c, 25
Chapter 6 Optimisation 1
Exercise 6.1: 1a(i),b(i), 6a,b,c,d,e,f, 9a,b,c,d,e,f,
11a,b,c,d,e, 13, 14a,b, 17, 18
Exercise 6.2: 1, 3, 5
Exercise 6.3: 1a,d, 2f,g, 3
Exercise 6.4: 1, 2, 9, 12, 13, 14
Chapter 7 Practical integration techniques
Exercise 7.1: 1a, 9a
Exercise 7.2: 1a, 3a,b, 4, 7, 8, 10, 11a,b,c, 13, 14
Chapter 8 Financial applications
Exercise 8.1: 4, 5, 6, 7, 11, 12a, 13a, 14, 16a, 19a,b,c, 20a,b,c,d, 23, 25, 26
Exercise 8.2; 1a, 2a, 3a, 4a, 5a, 6, 9, 10, 11a, 13a,b, 14
Exercise 8.3: 1, 5, 9a, 11, 12
Exercise 8.4: 1, 3, 4, 8, 9, 11a
Exercise 8.5: 1a, 2a, 3a, 4a, 5a, 7, 8, 11, 12
Exercise 8.6: 1a, 2a, 3a, 4a,b, 6, 7a,b, 8a,b, 11a,b,c,d, 12, 17, 19, 21a,b,c,d,e,f, 23a,b,c,d
Chapter 9 Graphs and transformations
Exercise 9.1: 5a,b,c, 6b, 7a,g, 10a, 11a, 12a,b
Exercise 9.2: 1a,b,c,d, 2a,b,c,d, 5a,b,c, 7a,b,c,d,e,f,g
Exercise 9.3: 1a,c,d, 2a, 3a,b,c, 7a,b, 8a,b
Exercise 9.4: 1a,f,h, 3a,e
Chapter 10 Trigonometric equations
Exercise 10.1: 3a,b, 4a, 5a, 6a, 7a, 10a,d, 11a, 12b, 14a, 15a, 16a
Exercise 10.2: 1a,b,c, 2a,d, 3a,b,c,d, 6a, 7a, 8a,d
Exercise 10.3: 1a,b, 3a,b, 5, 7a,b,c, 8a,d, 9a,b, 10b,c,e, 11a,b,e, 12a,c
Exercise 10.4: 1a,c,h, 4a, 5a, 6a, 7a, 8a, 9a,d, 11a,e
Chapter 11 Optimisation II
Exercise 11.1: 1a,b, 2, 3, 6, 8a,b, 9, 11, 12, 15
Exercise 11.2: 1, 2, 4, 6, 7, 10, 13
Exercise 11.3; 1, 3a,b, 5

New QMaths 12C Selected Worked Solutions

Chapter 1 Finite Directions
Exercise 1.1: 2d, 4a, 6c, 7a, 13
Exercise 1.2: 1a, 2, 4, 6, 8, 10
Exercise 1.3; 1, 5, 7
Chapter 2 Products of vectors
Exercise 2.1: 1a,b, 2a,b, 4a,b, 7, 8, 10, 11, 13, 16, 18
Exercise 2.2: 2a, 3a, 6a, 7a,d, 10a,b, 11a,b,c, 12, 14, 17a, 19a
Exercise 2.3: 1, 3,7, 10, 11, 13, 14, 16a,b,c, 18, 20, 21, 23
Chapter 3 De Moivre's theorem
Exercise 3.1: 2a, 4a,b, 5e, 7, 9, 10
Exercise 3.2: 1a, 2a,b, 6a,c, 7a, 9a, 10, 11b
Exercise 3.3: 1a,b,c, 3a, 4a, 6a, 7
Exercise 3.4: 1a,b,c, 2a,b,c, 4a,b, 5a, 6, 8, 10a,c, 11b, 12a, 14a,b, 17a
Exercise 3.5: 3a,b,c, 4a,b, 5a,c, 8a,b, 9a, 10a, 14a, 15a,b, 19a, 20
Chapter 4 Integration techniques
Exercise 4.1: 1a, 3a,f, 4a,b,c, 6
Exercise 4.2: 1a, 2a, 3, 6
Exercise 4.3: 1a,d, 2a, 3a,b
Chapter 5 Linear programming I
Exercise 5.1: 4, 5, 7,10, 12
Exercise 5.2: 1,2, 4, 5, 6
Exercise 5.3: 1a,b,c, 4a,b,c, 6, 8, 9
Chapter 6 Conics I
Exercise 6.1: 2a,b,d,e, 3a, 6a,d, 7, 10
Exercise 6.2: 1a, 2a, 3a, 5, 6, 7a, 8a, 9a,c, 10a, 12, 13, 15a,d
Exercise 6.3: 1a,d, 3a, 5a, 7, 8
Exercise 6.4: 1a, 2a, 3a, 4a, 6a, 8, 10a,b, 12a,b,c,d
Exercise 6.5: 1a, 2a, 5a, 6a, 8, 9, 10a,b,c
Exercise 6.6: 1, 3, 5, 9, 11, 12
Chapter 7 Dynamics I
Exercise 7.1: 2a,c, 3a, 4a,d,f, 5a,b,c, 6a,b, 9a,b, 11a,b,c,d, 13a,b,c, 14a,b,c
Exercise 7.2: 4a, 6, 8, 11, 13, 17, 18,1a,c,h, 4a, 5a, 6a, 7a, 8a, 9a,d, 11a,e, 20
Exercise 7.3: 3a,b,c,d,e, 5a, 7a,b,c, 9a,b, 16, 17
Exercise 7.4: 1a,b,c, 4a, 6a,b, 8a,b, 10, 15a,b, 16a,b,c,d
Chapter 8 Advanced periodic and exponential functions I
Exercise8.1; 1, 3, 6, 15, 16, 18, 20
Exercise 8.2: 1a, 3a, 4a, 5,9, 11,13, 16, 19, 21, 24, 26
Exercise 8.3: 1a(i),(ii),b(i),(ii), 3, 7, 8, 12, 14, 17a,b,c, 19, 20
Chapter 9 Introductory modelling with probability I
Exercise 9.1: 2e,g,h, 4, 5a, 6a, 7, 9
Exercise 9.2: 1, 2, 4, 5, 6, 10a,b, 11a(i),(ii),b, 13
Exercise 9.3: 2a,b,c, 4, 6, 8, 9a,b,c,d,e,f, 11, 13
Chapter 10 Introduction to number theory I
Exercise 10.1: 1, 3, 5, 9, 11, 13, 16, 18, 20, 22, 24
Exercise 10.2: 4, 5, 6, 8a, 9a, 11, 13a,b, 15, 19, 21a,b
Exercise 10.3: 2a, 3a,b, 11, 12, 14
Exercise 11.1: 1, 7, 8, 10, 12, 13, 15
Exercise 11.2: 1a, 2, 4, 6, 8, 9, 13, 16a,b
Exercise 11.3: 1a, 2, 4, 6, 8, 11
Chapter 12 Matrices and determinants
Exercise 12.1: 1a,e,i
Exercise 12.2: 1e,i, 2a,c
Exercise 12.3: 1a, 2a,e
Chapter 13 Approximation methods in calculus
Exercise 13.1: 1, 3a, 7a,b,c,d,e, 9, 11a, 13
Exercise 13.2: 1a, 2a(i), 4, 5a
Exercise 13.3: 1, 2, 6
Exercise 13.4: 1, 4a,b, 9
Exercise 13.5: 2a,b, 4, 6a,b, 8
Chapter 14 Linear programming II
Exercise 14.1: 1a,e, 2
Exercise 14.2: 1a,b, 3a, 8a,b
Exercise 14.3: 1, 3
Exercise 14.4: 1, 3, 7, 8
Chapter 15 Conics II
Exercise 15.1: 3a,c,e,f, 4a,b,d,e, 6a,c, 7
Exercise 15.2: 1a, 2a, 3a,c, 6, 7
Exercise 15.3: 1a, 3a, 4, 5a,b, 7, 9, 11, 13, 16, 17
Exercise 15.4: 1a, 3a, 5a, 6a, 9, 11, 12
Exercise 15.5: 1a, 3, 5a, 10, 11, 15a,b
Chapter 16 Dynamics II
Exercise 16.1: 2, 3a,b,c, 7a,b,c,d,e, 10a,b, 11a,b,c
Exercise 16.2: 1a,b,d, 2a, 3a,c, 4a,c, 5, 6, 7, 8, 11, 12a,b, 12, 13
Exercise 16.3: 1a,b(i), 3a, 4, 5, 6a,b,c, 9a,b,c,d, 12a,b
Exercise 16.4: 1a,b, 2, 4, 5, 7, 10, 13a,b, 16, 19
Chapter 17 Advanced periodic and exponential functions II
Exercise 17.1: 1a, 2, 5, 7a,b,c, 9
Exercise 17.2: 1a,b, 3a, 4a,b,d, 5a,b,c
Exercise 17.3: 1, 3, 5a,b, 7
Chapter 18 Introductory modelling with probability II
Exercise 18.1: 1a,b,f, 4a,b,c,d, 6a,b,c, 7
Exercise 18.2: 1, 2, 3a, b(i), 5, 6, 7a, 9, 11, 12
Exercise 18.3: 2a,b, 4a, 5, 6, 7a, 9, 12a, 15a,b,c
Chapter 19 Introduction to number theory II
Exercise 19.1: 1a,b,c,d, 4a,c, 7, 9, 11, 13, 15, 17, 19, 20
Exercise 19.2: 1a,c, 2a, 4, 6, 8, 10, 11, 12
Exercise 19.3: 1a,b, 2a, 3, 5, 6, 7, 9

### FEATURES

Selected from middle difficulty and most difficult questions in each set, chosen to help students progress in each topic

Plenty of modelling and problem-solving questions included

Solutions are in the same style as the examples in the textbooks, with “thinking” explanations on the left and mathematical working on the right

Questions are included with the solutions.