New Q Maths 12A Selected Worked Solutions

Chapter 1 Navigation I
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
Chapter 10 Navigation II
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
Chapter 11 Advanced differential calculus
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