Edexcel GCSE Maths Higher Module 1 Summary 2021 | Revision Notes, Questions, and Answers

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Edexcel GCSE Maths Higher Module 1 Summary 2021 | Revision Notes, Questions, and Answers

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The Edexcel GCSE Maths Higher Module 1 summary 2021 covers key concepts in directed numbers, indices, surds, and standard form. This comprehensive guide provides essential GCSE Maths revision notes for the Higher tier, including detailed explanations, examples, and practice questions to help students master these fundamental mathematical topics.

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Edexcel GCSE Maths Higher Module 1 Summary 2021 | Revision Notes, Questions, and Answers

Lilia Steadman

@liliasteadman_

1.1 Directed numbers
Adding a negative number is the same
a Subtracting
Example 14 +-64-6=2
Example 2 -10 +-3 ÷-10-3 = -13.
Subtracting a ne

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Directed Numbers, Indices, Surds, and Standard Form

This Edexcel GCSE Maths specification Higher module covers four crucial mathematical concepts:

Directed Numbers: Understanding operations with positive and negative numbers.
Indices: Exploring powers, roots, and their properties.
Surds: Working with irrational square roots.
Standard Form: Representing very large or small numbers efficiently.

1.1 Directed Numbers

Directed numbers involve operations with positive and negative integers. Key points include:

Adding a negative number is equivalent to subtraction.
Subtracting a negative number is the same as addition.
For multiplication and division: Two positives result in a positive One positive and one negative result in a negative Two negatives result in a positive

Example: 14 + $-6$ - 6 = 2

Example: -10 + $-3$ = -10 - 3 = -13

Example: 27 - $-4$ = 27 + 4 = 31

Example: -7 × 10 = -70

Example: -8 × -2 = 16

1.2 Indices

Indices, also known as powers or exponents, are used to represent repeated multiplication. This section covers:

Square numbers and square roots
Cube numbers and cube roots
Laws of indices for multiplication, division, and raising to powers

Definition: Square numbers are the result of a number multiplied by itself.

Example: 11² = 11 × 11 = 121

Vocabulary: The cube root of a number is a factor that, when multiplied by itself three times, gives the original number.

Example: ³√27 = 3 $because 3 × 3 × 3 = 27$

Highlight: Indices rules for multiplication $add powers$ , division $subtract powers$ , and brackets $multiply powers$ are crucial for simplifying expressions.

1.3 Surds

Surds are irrational square roots of non-square numbers or cube roots of non-cube numbers.

Definition: A surd is the square root of a non-square number or the cube root of a non-cube number.

Example: √2 is a surd because 2 is not a square number.

Key points on surds include:

Simplifying surds
Performing arithmetic with surds
Rationalizing denominators

Example: √50 = √ $25 × 2$ = 5√2

1.4 Standard Form

Standard form is a way of writing very large or very small numbers concisely.

Definition: Standard form numbers are written as a number between 1 and 10 $not including 10$ , multiplied by a power of 10.

Example: 5000 = 5 × 10³ in standard form

The section covers:

Converting between standard form and ordinary numbers
Multiplication and division in standard form

Example: $1.2 × 10³$ × $2.4 × 10⁵$ = 2.88 × 10⁸

This Edexcel GCSE Maths Higher Module 1 summary provides a solid foundation for students preparing for their GCSE Maths revision. By mastering these concepts, students will be well-equipped to tackle more advanced mathematical problems in the Edexcel GCSE Maths specification 2024 Higher.

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Edexcel GCSE Maths Higher Module 1 Summary 2021 | Revision Notes, Questions, and Answers

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

Edexcel GCSE Maths Higher Module 1 Summary 2021 | Revision Notes, Questions, and Answers

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Directed Numbers, Indices, Surds, and Standard Form

1.1 Directed Numbers

1.2 Indices

1.3 Surds

1.4 Standard Form

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