David Hillard spent more than 45 years teaching Mathematics in two preparatory schools. He was associated with the Common Entrance Examination at 11+ and 13+ in the role of adviser, assessor or setter.Serena Alexander has taught Mathematics since 1987, originally in both maintained and independent senior schools. From 1999 she taught at St. Paul's School for Boys, where she was Head of Mathematics at their Preparatory School, Colet Court, before moving first to Newton Prep as Deputy Head and then to Devonshire House as Headmistress. She has run many Mathematics conferences for prep school teachers. She is now an ISI reporting Inspector and consultant, with a particular focus on mathematics.

• Chapter 1: Introducing investigationsChapter 2: Roman numeralsChapter 3: Place valueChapter 4: Adding and subtractingChapter 5: Multiplying and dividingChapter 6: Factors and multiplesChapter 7: Number propertiesChapter 8: AnglesChapter 9: FractionsChapter 10: 2D shapesChapter 11: TranslationChapter 12: ReflectionChapter 13: Negative numbersChapter 14: DecimalsChapter 15: More decimalsChapter 16: Decimals, fractions and percentagesChapter 17: Money and measuresChapter 18: Fractions of quantitiesChapter 19: PercentagesChapter 20: Long multiplicationChapter 21: More divisionChapter 22: Area and perimeterChapter 23: 3D shapesChapter 24: Tables and graphsChapter 25: Time and timetables

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David Hillard spent more than 45 years teaching Mathematics in two preparatory schools. He was associated with the Common Entrance Examination at 11+ and 13+ in the role of adviser, assessor or setter.Serena Alexander has taught Mathematics since 1987, originally in both maintained and independent senior schools. From 1999 she taught at St. Paul's School for Boys, where she was Head of Mathematics at their Preparatory School, Colet Court, before moving first to Newton Prep as Deputy Head and then to Devonshire House as Headmistress. She has run many Mathematics conferences for prep school teachers. She is now an ISI reporting Inspector and consultant, with a particular focus on mathematics.

• Chapter 1: Introducing investigationsChapter 2: Roman numeralsChapter 3: Place valueChapter 4: Adding and subtractingChapter 5: Multiplying and dividingChapter 6: Factors and multiplesChapter 7: Number propertiesChapter 8: AnglesChapter 9: FractionsChapter 10: 2D shapesChapter 11: TranslationChapter 12: ReflectionChapter 13: Negative numbersChapter 14: DecimalsChapter 15: More decimalsChapter 16: Decimals, fractions and percentagesChapter 17: Money and measuresChapter 18: Fractions of quantitiesChapter 19: PercentagesChapter 20: Long multiplicationChapter 21: More divisionChapter 22: Area and perimeterChapter 23: 3D shapesChapter 24: Tables and graphsChapter 25: Time and timetables

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David Hillard spent more than 45 years teaching Mathematics in two preparatory schools. He was associated with the Common Entrance Examination at 11+ and 13+ in the role of adviser, assessor or setter.Serena Alexander has taught Mathematics since 1987, originally in both maintained and independent senior schools. From 1999 she taught at St. Paul's School for Boys, where she was Head of Mathematics at their Preparatory School, Colet Court, before moving first to Newton Prep as Deputy Head and then to Devonshire House as Headmistress. She has run many Mathematics conferences for prep school teachers. She is now an ISI reporting Inspector and consultant, with a particular focus on mathematics.

• Chapter 1: Introducing investigationsChapter 2: Roman numeralsChapter 3: Place valueChapter 4: Adding and subtractingChapter 5: Multiplying and dividingChapter 6: Factors and multiplesChapter 7: Number propertiesChapter 8: AnglesChapter 9: FractionsChapter 10: 2D shapesChapter 11: TranslationChapter 12: ReflectionChapter 13: Negative numbersChapter 14: DecimalsChapter 15: More decimalsChapter 16: Decimals, fractions and percentagesChapter 17: Money and measuresChapter 18: Fractions of quantitiesChapter 19: PercentagesChapter 20: Long multiplicationChapter 21: More divisionChapter 22: Area and perimeterChapter 23: 3D shapesChapter 24: Tables and graphsChapter 25: Time and timetables

Select Guide Rating