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Year 11 Maths Fun: Indices, HCF & LCM, Circles!

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Year 11 Maths Fun: Indices, HCF & LCM, Circles!
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parmis

@parmisb

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A comprehensive guide covering essential GCSE Year 11 mathematics topics including indices, HCF and LCM calculations, circle geometry, polygons, and trigonometry.

  • The guide begins with detailed explanations of indices and their operations, particularly focusing on calculating HCF and LCM for tests
  • Extensive coverage of circle-related concepts including area and circumference of circles GCSE formulas
  • Advanced geometric concepts including Pythagoras' theorem and trigonometric ratios
  • Practical examples and applications for polygon properties and area calculations
  • Essential formulas for sector calculations and arc lengths in circles

11/06/2023

244

Indices mª xmb- m² 2 m² = 119 щь (1₁9) b = = M LCM example 25 ^ a-b 3 GCSE Year 11 Revision аль HCF SAS only the common ать nia-b and HEF wo

View

Page 2: Advanced Geometry and Trigonometry

This page delves into more advanced geometric concepts including Pythagoras' theorem, trigonometric ratios, and polygon properties.

Definition: The sine rule states that in any triangle, the ratio of the sine of an angle to the length of the opposite side is constant.

Example: For a triangle with sides a, b, c and angles A, B, C: a/sin A = b/sin B = c/sin C

Highlight: Key polygon properties:

  • Interior angle sum = (n-2) × 180°
  • Exterior angle = 360°/n where n is the number of sides

Vocabulary: Exterior angle - the angle formed between any side of a polygon and the extension of an adjacent side.

Indices mª xmb- m² 2 m² = 119 щь (1₁9) b = = M LCM example 25 ^ a-b 3 GCSE Year 11 Revision аль HCF SAS only the common ать nia-b and HEF wo

View

Page 1: Fundamental Mathematics Concepts

This page covers essential mathematical concepts starting with indices operations and extending to circle geometry. The content is structured to build from basic principles to more complex applications.

Definition: HCF (Highest Common Factor) represents the largest number that divides exactly into two or more numbers, while LCM (Lowest Common Multiple) is the smallest positive number that is a multiple of two or more numbers.

Example: For calculating HCF and LCM of 25 and 75:

  • HCF: Find common factors (25 = 5 × 5, 75 = 3 × 5 × 5)
  • LCM: Multiply all prime factors (5 × 5 × 3)

Highlight: Circle formulas are fundamental for GCSE mathematics:

  • Area = πr²
  • Circumference = 2πr
  • Arc length = 2πr × θ/360°

Vocabulary: Sector - a portion of a circle bounded by two radii and the included arc.

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Subjects

/

Maths

/

Geometry and measure

/

Circles, sectors and arcs

Year 11 Maths Fun: Indices, HCF & LCM, Circles!

user profile picture

parmis

@parmisb

·

1 Follower

Follow

A comprehensive guide covering essential GCSE Year 11 mathematics topics including indices, HCF and LCM calculations, circle geometry, polygons, and trigonometry.

  • The guide begins with detailed explanations of indices and their operations, particularly focusing on calculating HCF and LCM for tests
  • Extensive coverage of circle-related concepts including area and circumference of circles GCSE formulas
  • Advanced geometric concepts including Pythagoras' theorem and trigonometric ratios
  • Practical examples and applications for polygon properties and area calculations
  • Essential formulas for sector calculations and arc lengths in circles

11/06/2023

244

 

10/11

 

Maths

8

Indices mª xmb- m² 2 m² = 119 щь (1₁9) b = = M LCM example 25 ^ a-b 3 GCSE Year 11 Revision аль HCF SAS only the common ать nia-b and HEF wo

Page 2: Advanced Geometry and Trigonometry

This page delves into more advanced geometric concepts including Pythagoras' theorem, trigonometric ratios, and polygon properties.

Definition: The sine rule states that in any triangle, the ratio of the sine of an angle to the length of the opposite side is constant.

Example: For a triangle with sides a, b, c and angles A, B, C: a/sin A = b/sin B = c/sin C

Highlight: Key polygon properties:

  • Interior angle sum = (n-2) × 180°
  • Exterior angle = 360°/n where n is the number of sides

Vocabulary: Exterior angle - the angle formed between any side of a polygon and the extension of an adjacent side.

Indices mª xmb- m² 2 m² = 119 щь (1₁9) b = = M LCM example 25 ^ a-b 3 GCSE Year 11 Revision аль HCF SAS only the common ать nia-b and HEF wo

Page 1: Fundamental Mathematics Concepts

This page covers essential mathematical concepts starting with indices operations and extending to circle geometry. The content is structured to build from basic principles to more complex applications.

Definition: HCF (Highest Common Factor) represents the largest number that divides exactly into two or more numbers, while LCM (Lowest Common Multiple) is the smallest positive number that is a multiple of two or more numbers.

Example: For calculating HCF and LCM of 25 and 75:

  • HCF: Find common factors (25 = 5 × 5, 75 = 3 × 5 × 5)
  • LCM: Multiply all prime factors (5 × 5 × 3)

Highlight: Circle formulas are fundamental for GCSE mathematics:

  • Area = πr²
  • Circumference = 2πr
  • Arc length = 2πr × θ/360°

Vocabulary: Sector - a portion of a circle bounded by two radii and the included arc.

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For higher math students in Year11, formula sheet to revise. Inclues circle theorums, probability, graphs, bidmas, etc

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Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.