## F1 contents

**FM: indicates sections (up to level 6) that address functional mathematics **
ISBN 978-0-521-68993-9 with answers; 978-0-521-69431-5 without answers

**Book F1 contents **Order from +44 (0)1223 325588

**1 Reflection and rotation symmetry 10**
**6 Angles, triangles and quadrilaterals 42**
**A **Reflection symmetry level 4

**10**
**A **Review: angles round a point, on a line, in a triangle

**42**
**B **Rotation symmetry

**11**
**B **Angles in an isosceles triangle

**45**
**C **Both types of symmetry

**12**
**C **Properties of special quadrilaterals

**47**
**D **Special triangles and quadrilaterals

**13**
**7 Experiments 49**
**E **Symmetrical and regular polygons

**14**
**A **Specifying the problem and planning

**49 FM**
**F **Using coordinates

**16**
**B **Processing and representing

**50 FM**
**2 Fractions 18**
**C **Interpreting and discussing

**52 FM**
**A **Fraction of a number

**18**
**8 Multiples, factors and primes 53**
**B **Equivalent fractions

**18**
**A **Multiples level 4

**53**
**C **Simplifying a fraction

**19**
**B **Factors level 4

**54**
**D **Mixed numbers

**20**
**C **Multiples and factors level 4

**55**
**E **Writing one number as a fraction of another

**21**
**D **Common multiples and factors

**56**
**F **Adding and subtracting fractions

**22**
**E **Prime numbers

**58**
**G **Multiplying a fraction by a whole number

**23**
**F **Products of prime factors

**59**
**3 Reading scales 25**
**Review 1 61**
**A **Whole numbers level 4

**25**
**B **Decimals level 4

**26**
**9 Working with formulas 1 63**
**A **Review: expressions

**63**
**4 Arrow diagrams and equations 29**
**B **Arranging tables and chairs

**64**
**A **Mathematical whispers level 4

**29**
**C **Designing pendants

**67**
**B **Using letters

**31**
**C **Solving equations

**32**
**D **Equations and arrow diagrams

**70**
**D **Number puzzles

**34**
**10 Representing 3-D objects 73**
**5 Decimals 36**
**A **The Soma cube

**73**
**A **One and two decimal places level 4

**36**
(idea of volume, drawing on triangular dotty paper)

**B **More than two decimal places

**37**
**B **Plan and elevations

**74 FM**
**C **Rounding to the nearest whole number

**38**
**D **Rounding to one decimal place

**39**
**D **Prisms

**78**
**E **Rounding to more than one decimal place

**40**
**E **Reflection symmetry

**79**
**F **Multiplying and dividing by powers of ten

**41**
**11 Written calculation 1 82**
**17 Working with expressions 1 119**
**A **Adding and subtracting whole numbers and

**A **Simplifying expressions such as 4 + 2

*n *â€“ 3 +

*n ***119**
decimals level 4

**82**
**B **Substituting into expressions such as 7 â€“ 2

*n ***121**
**B **Multiplying whole numbers level 4

**83**
**C **Simplifying expressions such as 4 + 2

*n *â€“ 3 â€“ 5

*n ***122**
**C **Multiplying decimals

**84**
**Review 2 124**
**D **Dividing whole numbers level 4

**85**
**E **Dividing decimals

**86**
**18 Graphs of changes over time 126**
**F **Mixed questions

**87**
**A **Noise level

**126 FM**
**12 Frequency **
**B **Pulse rate

**128 FM**
**C **Temperature

**129 FM**
**A **Stem-and-leaf tables

**89 FM**
**B **Median and range

**91 FM**
**19 Chance 132**
**C **Comparisons

**92 FM**
**A **Probability as a fraction

**132**
**D **Grouping

**94 FM**
**B **Listing outcomes

**134**
**E **Mean

**97 FM**
**C **Using a grid

**136**
**13 Fractions, decimals and percentages 100**
**20 Area of a triangle and of composite shapes**
**A **Fractions and percentages

**100**
**B **Decimals and percentages

**101**
**A **Area of a triangle

**140**
**C **Fractions and decimals

**102**
**B **Area of composite shapes

**142**
**D **Thirds

**102**
**21 Working with percentages 145**
**E **Converting between fractions, decimals and

**A **Review: fractions, decimals and percentages

**145**
percentages

**103**
**14 Area of a parallelogram 105**
**B **Finding a percentage of an amount (mentally)

**146**
**A **Changing a parallelogram into a rectangle

**105**
**C **Finding a percentage of an amount (with a

calculator)

**148**
**B **Using the formula

**106**
**D **Expressing one number as a percentage of another

**15 Negative numbers 109**
**A **Temperature changes

**109 FM**
**E **Expressing one number as a percentage of another

**B **Adding negative numbers

(with a calculator)

**150**
**C **Subtracting a negative number

**F **Mixed questions

**151 FM**
**D **Multiplying a negative by a positive number

**112**
**22 Representing data 153**
**16 Metric units 114**
**A **Two-way tables

**153 FM**
**A **Using metric units

**B **Two-way tables with grouped data

**155 FM**
**B **Converting between metric units

**C **Pictograms and bar charts

**156 FM**
**D **Dual bar charts

**158 FM**
**E **Line graphs for time series

**159 FM**
**F **Index numbers

**161 FM**
**23 Ratio and proportion 164**
**29 Navigation 212**
**A **Recipes

**164 FM**
**A **Four-figure grid references and points of the

compass

**212 FM**
**B **Comparing prices

**166 FM**
**B **Scales and points of the compass

**214 FM**
(where one item is a multiple of the other)

**C **Review: angles level 4

**216 FM**
**C **Unitary method

**167 FM**
**D **Bearings

**218 FM**
**D **Unit cost

**168 FM**
**30 Rounding with significant figures 221**
**E **Mixtures and ratio

**170 FM**
**A **Rounding a whole number to one significant figure

**F **Writing a ratio in its simplest form

**173 FM**
**24 Cuboids 175**
**B **Rounding a decimal to one significant figure

**222**
**A **Volume of a cuboid

**175**
**C **Multiplying decimals

**223**
**B **Cubic metres

**179 FM**
**D **Rough estimates with decimals

**225**
**C **Surface area

**180 FM**
**E **Rounding answers

**226**
**D **Volume of a solid made from cuboids

**181**
**31 Solving equations 228**
**Review 3 184**
**A **Balance puzzles

**228**
**B **Seeing a balance puzzle as an equation

**230**
**25 Scatter diagrams and correlation 186**
**C **Solving an equation using balancing

**231**
**A **Scatter diagrams

**186 FM**
**D **Finding unknown lengths on strips

**232**
**B **Correlation

**189 FM**
**E **Undoing a subtraction in an equation

**233**
**C **Line of best fit

**191**
**F **Decimal, negative and fractional solutions

**234**
**26 Square and cube numbers 195**
**G **Problem solving

**234**
**A **Squares and square roots

**195**
**32 Written calculation 2 236**
**B **Cubes and cube roots

**197**
**A **Multiplying by a two-digit number

**236**
**C **Squares, cubes and higher powers

**198**
**B **Dividing by a two-digit number

**237**
**27 Surveys 200**
**C **Mixed questions

**238 FM**
**A **Starting a project

**200**
**Review 4 240**
**B **Designing a questionnaire

**201**
**C **Choosing a sample

**203**
**33 Sequences 242**
**D **Summarising results

**204**
**A **Continuing a sequence

**242**
**E **Writing a report

**205**
**B **Describing numbers in some sequences

**244**
**C **Sequences from patterns

**245**
**28 Imperial measures 206**
**A **Length

**206 FM**
**34 Problem solving with a calculator 248**
**B **Weight

**208 FM**
**A **Which calculation?

**248 FM**
**C **Liquid measure

**209 FM**
**B **Showing working

**250 FM**
**D **Mixed questions

**210 FM**
**C **Changing money to a different currency

**251 FM**
**35 Working with expressions 2 253**
**40 Multiplying and dividing fractions 287**
**A **Substituting into expressions such as 2

*a *â€“

*b ***253**
**A **Finding a fraction of a quantity: fractional results 1

**B **Simplifying expressions such as 3

*a *+ 2

*b *+

*a *+ 5

*b*
**B **Finding a fraction of a quantity: fractional results 2

**C **Simplifying expressions such as 3

*a *+ 2

*b *+

*a *â€“ 5

*b*
**C **Dividing a unit fraction by a whole number

**289**
**D **Dividing a fraction by a whole number

**290**
**36 Calculating with negative numbers 256**
**E **Multiplying fractions

**291**
**A **Adding and subtracting

**256**
**B **Multiplying

**257**
**41 Working with formulas 2 293**
**C **Dividing

**259**
**A **Formulas and graphs

**293 FM**
**D **Negative square roots and cube roots

**261**
**B **Forming and using formulas

**296 FM**
**E **Mixed questions

**262**
**C **Forming and using expressions and formulas

**37 Brackets 264**
**Review 5 302**
**A **Dividing an expression by a number

**264**
**B **Expressions with brackets

**265**
**42 Travel 304**
**C **Factorising an expression

**266**
**A **Calculating speed

**304 FM**
**D **Factorising more complex expressions

**267**
**B **Distanceâ€“time graphs

**306 FM**
**E **Adding an expression containing brackets

**268**
**C **Calculating distance and time

**309 FM**
**F **Subtracting an expression containing brackets

**268**
**43 Graphs from rules 312**
**38 Pie charts 270**
**A **Patterns in coordinates

**312**
**A **Review: fractions, percentages and angles

**270 FM**
**B **Drawing a straight-line graph

**313**
**B **Reading a pie chart: simple fractions and

**C **Including negative coordinates

**315**
percentages

**271 FM**
**D **Equations of horizontal and vertical lines

**316**
**C **Reading a pie chart: the unitary method

**272 FM**
**E **Implicit equations

**317**
**D **Drawing a pie chart: angles

**274 FM**
**E **Drawing a pie chart: percentages

**44 Working with coordinates 320**
**F **Handling real data

**A **Shapes on a grid

**320**
**B **Mid-points

**322**
**39 Working with expressions 3 280**
**C **Reflection

**323**
**A **Substituting into linear expressions

**280**
**D **Rotation

**324**
**B **Squares and cubes

**281**
**C **Using more than one letter

**45 Trial and improvement 328**
**D **Area and simplifying

**A **Searching for whole numbers

**328**
**B **Searching for decimals

**329**
**C **Searching for approximate values

**330**
**46 Constructions 332**
**A **Drawing a triangle using lengths

**332**
**B **Drawing a triangle using angles

**334**
**C **Drawing a triangle using two sides and

an angle

**335**
**D **Scale drawings

**336**
**Review 6 337**
**Answers 338**
**Index 397**
Source: http://www.smpmaths.org.uk/F1%20contents.pdf

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