for the
United Arab Emirates
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Alan McSeveny, Rob Conway, Steve Wilkes
Signpost Maths 9
Chapter 1
Basic Number Skills
1:01 The language of mathematics
1:02 Diagnostic tests
1:03 Conversion facts you should know
Fun Spot 1:03 What was this man’s name in 1978?
1:04 Rational numbers
1:05 Recurring decimals
Challenge 1:05 Try this with repeating decimals
Fun Spot 1:05 Speedy addition
1:06 Simplifying ratios
1:07 Rates
1:08 Significant figures
1:09 Approximations
Reading maths 1:09 Take your medicine!
1:10 Estimation
Maths terms 1
Diagnostic Test 1: Basic Number Skills
Chapter 1 Revision Assignment
Chapter 1 Working Mathematically
Chapter 2
Working Mathematically
2:01 Solving Routine Problems
2:01A Rates
2:01B Ratio
2:01C Dividing a Quantity in a Given Ratio
Challenge 2:01 Mixing Drinks
2:01D Percentages
2:01E Measurement
Fun Spot 2:01 Bouncing Ball
2:02 Solving Non-routine Problems
Fun Spot 2:02 What nationality is this man?
Investigation 2:02 Line marking
2:03 Using Venn Diagrams (Extension)
Challenge 2:03 Venn Diagrams
Fun Spot 2:03 What kind of breakfast takes an hour to finish
Investigation 2:03 Comparing speeds
Math terms 2
Chapter 2 Revision Assignment
Chapter 2 Working Mathematically
Chapter 3
Algebraic Expression
3:01 Addition and subtraction in algebra
3:02 Multiplication in algebra
3:03 Division in algebra
3:04 Simplifying algebraic fractions
3:05 Grouping symbols
Investigation 3:05 Checking algebraic simplification by substituti…
3:06 Simplifying expressions with grouping symbols
3:07 Factorising using common factors
Fun Spot 3:07 In the theatre, when do you tell someone to ‘break…
Maths terms 3 Maths terms
Diagnostic Test 3 Diagnostic test
Chapter 3 Revision assignment
Chapter 3 Working mathematically
Chapter 4
Probability
4:01 Describing your chances
Investigation 4:01 Throwing dice
4:02 Experimental probability
Reading maths 4:02 Tossing a coin
Investigation 4:02 Chance experiments
4:03 Theoretical probability
Challenge 4:03 Computer dice
Investigation 4:03 Chance happenings
4:04 The addition principle for mutually exclusive events
Fun Spot 4:04 What are Dewey decimals?
Investigation 4:04 Chance in the community
Maths Terms 4
Diagnostic test 4 Probability
Chapter 4 Revision assignment
Chapter 4 Working mathematically
Chapter 5
Deductive Geometry
5:01 Deductive reasoning in numerical exercises
5:01 A Exercises using parallel lines
5:01 B Exercises using triangles
5:01 C Exercises using quadrilaterals
5:02 Polygons
Investigation 5:02A The angle sum of a polygon
Investigation 5:02B The exterior angle sum of a convex polygon
Investigation 5:02C Regular polygons and tessellations
Investigation 5:02D Spreadsheet
Fun Spot 5:02 The game of Hex
5:03 Similar figures
Investigation 5:03 Enlargements of triangles
5:04 Investigating similarity
5:05 Finding unknown sides of similar figures
Investigation 5:05 Photo enlargements
Challenge 5:05 Finding the heights of tall objects
5:06 Deductive reasoning in non-numerical exercises
5:07 Congruent triangles
5:08 Providing two triangles are congruent
5:09 Using congruent triangles to find unknown sides and angles
5:10 Deductive geometry and triangles
5:11 Deductive geometry and quadrilaterals
Investigation 5:11 Theorems and their converses
Fun Spot 5:11 What do you call a man with a shovel?
Maths terms 5
Diagnostic Test 5 Deductive Geometry
Chapter 5 Revision assignment
Chapter 5 Working mathematically
Chapter 6
Indices
6:01 Review of indices
Challenge 6:01 Family trees
6:02 The index laws
Investigation 6:02 Exploring index notation
6:03 Negative indices
Investigation 6:03 Zero and negative indices
6:04 Fractional indices
Fun Spot 6:04 Why is a room full of married people always empty?
Investigation 6:04 Reasoning with fractional indices
6:05 Scientific (or standard) notation
Reading maths 6:05 Feral cats
6:06 Scientific notation and the calculator
Investigation 6:06 Using scientific notation
Maths terms 6
Diagnostic test 6 Indices
Chapter 6 Revision assignment
Chapter 6 Working mathematically
Chapter 7
Perimeter, Area and Surface Area
7:01 Review of perimeter
Investigation 7:01 Skirting board and perimeter
7:02 Perimeter of sectors and composite figures
Fun Spot 7:02 Why is it so noisy at tennis?
7:03 Review of area
Challenge 7:03 Area of scale drawings
7:04 Area of sectors and composite figures
Challenge 7:04 Staggered starts
7:05 Surface area of a prism
Fun Spot 7:05 How did the boy know he had an affinity with the sea…
7:06 Surface area of a cylinder
Fun Spot 7:06 Let’s play with blocks
7:07 Surface area of composite solids
Investigation 7:07 Perimeter and area
7:08 Practical applications of surface area
Maths terms 7
Diagnostic Test 7 Perimeter, Area and Surface Area
Chapter 7 Revision assignment
Chapter 7 Working mathematically
Chapter 8
Equations and Inequations
8:01 Solving Equations by Inspection
8:02 Inverse operations
8:03 Solving simple equations
Investigation 8:03 Solving equations using a spreadsheet
8:04 Equations with pronumerals on both sides
8:05 Equations with grouping symbols
Fun Spot 8:05 If I have 7 apples in one hand and 4 in the other, w…
8:06 Equations with fractions (1)
Fun Spot 8:06 Who holds up submarines?
8:07 Equations with fractions (2)
Challenge 8:07 Solving equations by ‘guess and check’
8:08 Graphing inequations
8:09 Solving inequations
Fun Spot 8:09 Who ‘dunnit’?
Maths terms 8
Diagnostic Test 8 Equations and Inequations
Chapter 8 Revision assignment
Chapter 8 Working mathematically
Chapter 9
Consumer Arithmetic: Working and Budgeting
9:01 Working for others
9:02 Extra payments
9:03 Wage deductions
9:04 Budgeting
9:05 Best buy, shopping lists and change
9:06 Ways of paying and discounts
Fun Spot 9:06 The puzzle of the missing dirham
9:07 Working for a profit
Investigation 9:07 Let’s plan a musical show
Maths terms 9
Diagnostic test 9 Consumer Arithmetic
Chapter 9 Revision assignment
Chapter 9 Working mathematically
Chapter 10
Coordinate Geometry: Graphing Straight Lines
10:01 Number plane review
Fun Spot 10:01 Battleships: a number plane game
10:02 Graphing straight lines
Investigation 10:02 x- and y-intercepts
10:03 Horizontal and vertical lines
Fun Spot 10:03 What is the easiest job in a watch factory?
10:04 The intersection of two straight lines
Maths terms 10
Diagnostic test 10 Coordinate Geometry: Graphing Straight Lines
Chapter 10 Revision Assignment
Chapter 10 Working mathematically
Chapter 11
Statistics
11:01 Frequency and cumulative frequency
11:02 Analysing data (1)
Investigation 11:02n Codebreaking and statistics
11:03 Analysing data (2)
Fun Spot 11:03 Which hand should you use to stir tea?
Investigation 11:03 Adding and averaging
11:04 Grouped data
Investigation 11:04 The ageing population
11:05 Measure of spread: inter-quartile range
Fun Spot 11:05 Why did the robber flee from the music store?
11:06 Box-and-whisker plots
11:07 Measures of spread: Standard deviation
11:08 Comparing sets of data
Maths terms 11
Diagnostic test 11 Statistics
Chapter 11 Revision assignment
Chapter 11 Working mathematically
Chapter 12
Volume
12:01 Volume of prisms and cylinders: a review
Investigation 12:01 Tank sizes …
12:02 Volume of composite prisms
12:03 Volume of a pyramid
Investigation 12:03 The volume of a pyramid
Fun Spot 12:03 How did the raisins win the war against the nuts?
12:04 Volume of a cone
12:05 Volume of a sphere
Investigation 12:05 Calculating volume by displacement of water
12:06 Volume of composite solids
12:07 Practical problems involving volume
Maths terms 12
Diagnostic test 12 Volume
Chapter 12 Revision assignment
Chapter 12 Working mathematically
Chapter 13
Formulae and Problem Solving
13:01 Generalised arithmetic
Fun Spot 13:01 How much logic do you have?
13:02 Substitution
13:03 Formulae: Evaluating the subject
Investigation 13:03 Spreadsheet formulae
13:04 Formulae: Equations arising from substitution
13:05 Translating problems into equations
Reading maths 13:05 Read carefully (and think)!
13:06 Further problem solving using equations
Fun Spot 13:06 Why are cooks cruel?
Maths terms 13
Diagnostic test 13 Formulae and Problem Solving
Chapter 13 Revision assignment
Chapter 13 Working mathematically
Chapter 14
Coordinate Geometry
14:01 The distance between two points
14:02 The distance formula
Challenge 14:02 Formula challenge
14:03 The midpoint of an interval
14:04 The gradient of a line
Investigation 14:04 Gradients and building
14:05 The gradient formula
14:06 The gradient–intercept form of a straight line: y = mx + b…
Fun Spot 14:06 What does y = mx + b tell us?
Fun Spot 14:06 Why did the banana go out with a fig?
Maths terms 14
Diagnostic test 14 Coordinate Geometry
Chapter 14 Revision assignment
Chapter 14 Working mathematically
Chapter 15
Consumer Arithmetic: Borrowing and Investing
15:01 Simple interest
Reading maths 15:01 Why not buy a tent?
15:02 Solving simple interest problems
15:03 Compound interest
Fun Spot 15:03 What is the difference between a book and a bore?
15:04 Depreciation
15:05 Compound interest and depreciation formulae
Investigation 15:05 Compound interest tablesi
15:06 Reducible Interest
Investigation 15:06 Reducible home loan spreadsheet
15:07 Borrowing Money
15:08 Home Loans
15:09 Murabaha and Musharaka
Maths terms 15
Diagnostic Test 15 Consumer Arithmetic
Chapter 15 Revision Assignments
Chapter 15 Working Mathematically
Chapter 16
Simultaneous Equations
Investigation 16:01A Solving problems by ‘guess and check’
16:01 The graphical method of solution
Investigation 16:01B Solving simultaneous equations using a graphi…
Fun Spot 16:01 What did the book say to the librarian?
16:02 The algebraic method of solution
16:03 Using simultaneous equations to solve problems
Reading maths 16:03 Breakfast time
Maths terms 16
Diagnostic Test 16 Simultaneous Equations
Chapter 16 Revision assignment
Chapter 16 Working mathematically
Chapter 17
Trigonometry
17:01 Right-angled triangles
17:02 Right-angled triangles: the ratio of sides
17:03 The trigonometric ratios
17:04 Trig. ratios and the calculator
Investigation 17:04 The exact values for the trig. ratios of 30°,…
17:05 Finding an unknown side
17:06 Finding an unknown angle
17:07 Miscellaneous exercises
17:08 Problems involving two right triangles
Fun Spot 17:08 What small rivers flow into the Nile?
Maths terms 17 Trigonometry
Diagnostic Test 17 Trigonometry
Chapter 17 Revision assignment
Chapter 17 Working mathematically
Chapter 18
Answers: Chapter 1
Chapter 19
Answers: Chapter 2
Chapter 20
Answers: Chapter 3
Chapter 21
Answers: Chapter 4
Chapter 22
Answers: Chapter 5
Chapter 23
Answers: Chapter 6
Chapter 24
Answers: Chapter 7
Chapter 25
Answers: Chapter 8
Chapter 26
Answers: Chapter 9
Chapter 27
Answers: Chapter 10
Chapter 28
Answers: Chapter 11
Chapter 29
Answers: Chapter 12
Chapter 30
Answers: Chapter 13
Chapter 31
Answers: Chapter 14
Chapter 32
Answers: Chapter 15
Chapter 33
Answers: Chapter 16
Chapter 34
Answers: Chapter 17
Chapter 35
Answers to ID Cards