Text Book Exercises

Text Book - Cambridge Mathematical Methods Units 1&2

	Chapter 1
Ex	Learning Intentions\Be able to-	Questions
1A	Recognition of linear Eq	4abc, 5acef, 6ace, 7ace, 8
1B	Be able to interpret worded eq	1, 6,8,10
1C	Be able to solve 2 Eqs using substitution	1acef, 2ac, 4ac
1D	Be able to solve 2 Eqs using Elimination	1, 3, 5, 14
1E	Be able to understand < > =	1acef, 2, 5
1F	Be able to rearrange formulas	1ace, 3ace, 6, 7, 9
	Chapter 2
EX	Learning Intentions	Questions
2A	Calculate distance and mid points	1ac, 4ac, 5, 6
2B	Understand gradient	1acef, 4acef, 8acef
2C	To calculate linear Eq	1ac, 3ac, 6ac, 12all
2D	Graph Straight lines	1all, 2all,3all, 4all, 8all, 9ace
2E	Draw parallel and perpendicular lines	1aceg, 2ac, 4, 5, 6
2F	Recognise families of straight lines	1, 2, 3, 4, 6, 7
2G	Relate linear eq to practical applications	1, 2, 3, 4, 8
2H	Solve simultaneous eq	1, 2, 3, 4, 6, 7, 11, 12
	Chapter 3
EX	Learning Intentions	Questions
3A	expand	1-6 LHS
3B	factorise	1 – 10 LHS
3C	Use null factor law	1 LHS, 2, 4, 5, 6, 8, 10, 12, 13
3D	Graph quadratics	1, 2, 3 LHS
3E	Complete the sq	2 a, b, c, d, e, 3LHS, 6.
3F	Graph quadratics using TP form	1, 2, 3LHS, 4LHS
3G	Graph inequalities	1, 2LHS, 4LHS, 6, 8
3H	Use the quadratic formula	1LHS, 2a, b 3LHS, 4LHS
3I	Use the discriminant	1LHS, 2LHS, 3, 5, 6, 7, 9, 11, 13, 15, 17
3J	Solve simultaneous Eq	1, 2, 3LHS, 4LHS 5, 6, 8, 9
3K	Graph families of Quadratics	1, 2, 5, 7, 9, 11, 13, 14, 15, 18, 19, 20
3L	Apply quadratics	1, 3, 4, 5, 7, 8, 9, 10
Review	Do as many questions as possible
	Chapter 4
EX	Learning Intentions	Questions
4A	Sketch hyperbolas	1, 3, 4a, c, e, g, 5, 7,
4B	Sketch truncus	1LHS, 2, 3,
4C	Sketch square roots	1, 2LHS, 3LHS
4D	Sketch circles	1, 2, 3RHS, 4RHS, 5, 6, 8
4E	Sketch semi circles	1, 2, 4, 6, 8, 10, 12, 13
Review	Do as many questions as possible
	Chapter 5
EX	Learning Intentions	Questions
5A	Use set notation	1, 2, 3, 4, 5, 7, 8, 10
5B	Understand difference between domain and range	1, 2, 3, 4LHS, 5LHS, 6LHS, 7LHS,
5C	Understand what a function is	1, 2LHS, 3, 5a, d, 6, 10, 12, 13LHS,
5D	Understand what a 1-1 function is	1, 2, 3a, b, c, d, e, f, g, j, k, l, 4LHS, 6, 7, 9,
5E	Understand what a piecewise function is	1LHS, 3, 5, 7, 8, 10
5F	Application of functions	1, 2, 3, 5, 6, 8, 9
5G	Create an inverse function	1LHS, 2LHS, 3LHS, 5, 6, 7
5H	Apply functions to practical problems	1, 3, 4, 5,
Review	Do as many questions as possible
	Chapter 6
EX	Learning Intentions	Questions
6A	Add, subtract and multiply polynomials.	2, 3 a f, 4 a c e, 5 a d e, 7, 10 b
6B	Divide polynomials	1 a c, 2 a c, 3 b d, 4 b d, 5 b d, 6, 7 a c e
6C	Use the remainder, factor and rational-root theorems	1 a g i, 2 b d, 3 c, 4 b c, 5 c f h, 7 d, 8 b e h, 9 b d, 10, 12
6D	Solve equations involving cubic polynomials.	1 b d, 2 b d, 3 b d, 4 b d, 5 b d f, 6 b d e , 7 b d
6E	Sketch cubics using TP form	1 c e, 2 d f g, 3 b f, 4 c f
6F	Kketch the graphs of cubic and functions.	1 d, 2 d f, 3 c f, 4, 5b d f, 6
6G	Solve inequalities involving cubic polynomials.	1 a c f h, 2 b e f
6H	Families of cubic polynomial functions	1, 2, 5, 7, 9 b d f
6I	Quartic and other polynomial functions	1 b e, 2 c f, 3 b e h k, 4 b f l, 5 b d, 6, 8
6J	Apply cubic functions to solving problems.	1, 2, 5, 6
6K	use the bisection method	1
	Chapter 7
7A	Vertical & Horizontal Translations	1 a c e, 2 a d e, 3 c f, 5 b e
7B	Dilations & Reflections	1, 2 & 3
7C	Combinations	1 3
7D	determine transformations	1 a b, 2 b c e
7E	Matrices	1, 2, 3 d, 4 b, 6
7F	Inverses of Matrices	1, 2 c, 3, 4, 5
7G	Matrix Transformations	1, 2, 4 b e, 5, 6, 8, 9
7H	Transformations of Graphs	1, 2, 4, 5, 7
	Chapter 9
9A	Understand sample space	2, 3, 5, 6, 8, 10, 11, 13, 14, 17, 19
9B	Estimate probabilities	1, 3, 4, 6, 8, 9, 10
9C	Experimental probability	1, 3, 5, 7, 9, 10
9D	Events and combined events	1, 3, 4, 5, 7, 9, 11, 13, 15, 17, 19
9E	Probability tables	1, 3, 5, 7, 9, 11, 12
9F	Conditional probability	1, 3, 6, 8, 10, 12, 14, 15, 18, 20, 22, 24
9G	Independent events	1, 3, 5, 7, 9, 11, 13
9H	Simulation	1, 3, 2005
Review		Tech Free: odd , MC: 1 – 8, ER: 1, 3, 5
	Chapter 10
Ex	Learning Intentions	Questions
10A	Use counting methods addition and multiplication	2,3,8
10B	Calculate numbers of arrangements	1, 2, 3, 8, 13
10C	Make calculations based on combinations	1,2,4,9,13,16
10D	Apply skills to application questions	1, 2, 5, 8, 11
10E	Use binomial expansion	1 aceg
	Chapter 11
Ex	Learning Intentions	Questions
11A	Understand discrete probability & read probability tables	1,2LHS, 3acegi, 4,6,7,9,11
11B	Tree Diagrams & worded Questions	1,3,5,6
11C	Using Binomial Distribution to find the probability of success	1,2,3,4,5,8,11,12, 15,20,23
	Chapter 13
Ex	Learning Intentions	Questions
13A	Be able to simplify equations using index laws	1LHS, 2, 3, 5, 9LHS, 12LHS
13B	Be able to write rational indices as roots	1*, 2LHS, 3LHS
13C	graph exponential equations	1ac, 2ac, 4, 5LHS
13D	Using index laws to evaluate equations and inequalities	1*, 2LHS, 4LHS, 6aceg
13E	Be able to use log laws to simplify log equations.	1ac, 2LHS, 3LHS, 5LHS, 6LHS, 8, 10bd
13F	Be able to swap from exponent to logarithmic form	1abef, 2ac 3ade, 4acd
13G	Be able to produce graphs of y=log(x)	1LHS, 2ac, 4ace, 6
13H	Be able to apply logarithmic and exponential equations to problems with application.	1, 3, 6, 8, 12
	Chapter 14
EX	Learning Intentions	Questions
14A	Be able to change between radians and degrees	1abef, 2abeg, 3ac, 6ace, 7
14B	Evaluating circular functions of sin and cos	1aceg, 2aceg, 3abcfh
14C	Evaluating tan	1abce, 2abce, 3
14D	Be able to evaluate unknowns using correct trigonometric ratios	1acdfgi
14E	Be able to evaluate trig ratios using symmetrical properties.	1aceg, 2, 3, 6LHS
14F	Using familiar angles to evaluate sin cos and tan	1acegi, 2acdegi,3abceg
14G	Recognise the amplitude and period, domain and range	1adg, 2, 3acg, 5ac, 8
14H	Finding multiple solutions to trig equations	1, 3, 6
14I	graphs of trig functions sine and cosine with translations	1abfi, 2, 5ace
14J	more translations	1ad, 2ad, 3a
14K	Be able to use relationships between sine and cosine	1ac, 4
14L	Produce graphs of tangent function with transformations	1ab, 2ab, 3ac, 4a
14M	Solving trig equations using calculator	1, 2ac
14N	Finding general multiple solutions	1, 2, 5
14O	Using trig functions, solve questions with applications	1, 3, 5, 7
	Chapter 16
EX	Learning Intentions	Questions
16B	Solving applications with constant gradient	1,3,4ace 6,8
16C	find the average gradient between two points	1,2acd 3ac 5 7
16D	instantaneous rate of change over small intervals	1,3,4
	Chapter 17
EX	Learning Intentions	Questions
17A	be able to differentiate using first principles	1,2,7
17B	find derivatives of polynomials using rules	1, 2adg, 3adg, 4, 6adg, 9, 12ace, 13ace
17C	find derivatives of polynomials with negative powers	3abce, 4, 7
17D	recognise the sign of gradients of functions	1, 2, 3, 5, 6, 9, 12
17E	be able to find antiderivative of polynomials	1adei, 2, 4, 7, 11
17F	determine if a function is continuous/discontinuous	1abdgj, 2, 3
17G	Be able to draw derivatives of functions	1,3
	Chapter 18
Ex	Learning Intentions	Questions
18A	Find equ of tangents and Normals	1,2,5,7
18B	Find average and instantaneous rates of change	1,3,5
18C	Solve to find x,y cord. of stationary points	1ace,2,4,5,8
18D	Find the nature of different stationary points	1,4,6,8,11
18E	Using calculus to solve problems with application	1,2,4,10,13
18F	Average and instantaneous speed etc	1,3,5,8
18G	Average and instantaneous speed etc	1,3,4
18I	Newton’s method for finding solutions to equations	1,3