Mathematics Fundamentals

Mathematics Fundamentals builds essential numeracy skills, covering arithmetic, algebra, fractions, percentages, and problem-solving techniques. Strengthen logical thinking, boost confidence with numbers, and develop practical maths knowledge for everyday tasks.

Mathematics Fundamentals
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Overview of Mathematics Fundamentals

Mathematics Fundamentals is a comprehensive course designed to build strong foundations in Basic Mathematics, Arithmetic Skills, and Core Mathematics concepts. Learners will develop confidence in numbers, calculations, and mathematical reasoning while exploring essential topics such as number systems, integers, fractions, decimals, and percentages. This course supports learners in strengthening their maths essentials for academic and everyday applications.

This course introduces key areas including Algebra Basics, Geometry Fundamentals, and practical problem-solving techniques. Through topics such as factors and multiples, simplification using BODMAS, rational numbers, approximation, estimation, and scientific notation, learners will improve their ability to analyse mathematical problems. The course focuses on developing logical thinking, accuracy, and effective Problem Solving skills.

Designed for learners who want to improve their mathematical confidence, this Mathematics Fundamentals course covers essential concepts including ratio and proportion, unitary method applications, profit, loss, discount, and tax calculations. By mastering these core skills, learners can enhance their numerical ability, strengthen mathematical reasoning, and gain a solid foundation for further studies in mathematics and related fields.

The course was audited and updated on: 27th July, 2026

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Learning Outcomes of Mathematics Fundamentals

Certification

one education Certificate

After completing the Mathematics Fundamentals course assessment, you will be eligible to receive a CPD-accredited certificate worth £9 from One Education to demonstrate your achievement.

The certificate is also available as a printed hard copy delivered by post for £15.

Why Study This Mathematics Fundamentals Course?

Mathematics Fundamentals introduces learners to the essential principles of basic mathematics, including number systems, arithmetic skills, algebra basics, geometry fundamentals, and mathematical reasoning. This course helps learners develop a strong understanding of core concepts and improve their ability to solve mathematical problems with confidence.

Studying Mathematics Fundamentals strengthens numerical skills, logical thinking, and problem-solving abilities needed for academic and everyday applications. The course provides a solid foundation for further learning in mathematics and supports learners in developing essential skills for personal, educational, and professional success.

Course Duration

The Mathematics Fundamentals course has a total study time of 7 hours, 38 minutes. This comprehensive programme is designed for flexible learning, allowing learners to progress at their own pace while developing essential maths skills, including basic mathematics, arithmetic operations, number systems, algebra basics, geometry fundamentals, mathematical reasoning, problem-solving techniques, core mathematics concepts, and practical maths applications.

Requirements

The Mathematics Fundamentals course requirements are simple and suitable for beginners. Learners should have a basic understanding of numeracy, an interest in developing mathematical skills, problem-solving abilities, and logical thinking, and a willingness to explore core concepts such as arithmetic, algebra, geometry, and number systems. Access to an internet-enabled device and commitment to regular study are recommended for effective learning and successful course completion.

Career Path

Frequently Asked Questions

This course introduces the essential concepts of mathematics, covering number systems, arithmetic skills, integers, factors and multiples, fractions, decimals, percentages, algebra basics, geometry fundamentals, mathematical reasoning, and problem-solving techniques.

No. It is suitable for beginners, students, and anyone looking to strengthen their core mathematics knowledge and build confidence in essential maths skills.

The course is delivered online, allowing you to learn at your own pace and develop a strong foundation in basic mathematics conveniently.

Yes. Practice exercises, mathematical problems, skill-building activities, real-life examples, and quizzes may be included to reinforce learning.

You will receive a certificate of completion after successfully finishing the course.

This course supports academic and professional development by strengthening maths skills needed for further education, business, finance, science, technology, administration, and everyday problem-solving.

Course Curriculum

Integers (Directed Numbers)
Introduction 00:02:00
Number system 00:09:00
Integers and ordering of integers 00:07:00
Addition and Subtractions of Integers 00:10:00
Operations on Integers 00:06:00
Multiplication and Division of Integers 00:06:00
Powers of Integers (Exponents) 00:04:00
Factors and Multiples
Complete knowledge about factors and multiples 00:07:00
Divisibility tests for 2,3,4,5,6 00:07:00
Divisibility rules 7,8,9,10,11 00:11:00
Prime Factorization 00:13:00
Highest common factor HCF 00:13:00
Word problems based on HCF 00:12:00
Least common multiple LCM 00:16:00
Relation between lcm and HCF 00:04:00
Fractions
Classification of Fractions 00:04:00
Convert mixed to improper and improper to mixed fractions 00:03:00
Equivalent Fractions 00:04:00
Comparing Fractions after converting to like fractions 00:09:00
Reducing a fraction to lowest term 00:04:00
Addition and subtraction OF fractions 00:08:00
Multiplication and division of fractions 00:11:00
Word problems on fractions 00:16:00
Simplification Rule : BODMAS
Bodmas and rules to remove brackets 00:03:00
Simplify expressions using BODMAS rules 00:05:00
Simplify expressions involving fractions using BODMAS 00:07:00
Decimal numbers
Decimal numbers in relation to fractions 00:08:00
Like and unlike Decimals 00:05:00
Ordering of Decimal numbers 00:10:00
Addition and subtraction of Decimal 00:07:00
Multiplication of Decimal 00:03:00
Division of Decimal 00:08:00
Rational Numbers
Rational number 00:02:00
Representation of Rational Numbers on Number line 00:05:00
Determining which fraction is terminating or non-terminating 00:07:00
Shortcut method of writing decimal expansion of fraction to decimal 00:08:00
Approximation
Rounding to whole number 00:06:00
Rounding to required number of decimals (1 d.p.) 00:05:00
Rounding to significant digits 00:07:00
Practice question on three methods of approximation 00:05:00
Estimation and Scientific Notation or Standard form
Estimation 00:05:00
Scientific Notation 00:07:00
Operation on numbers when they are in scientific notation 00:06:00
Percentage
Percentage to fraction and fraction to percentage 00:06:00
Percentage of a quantity and conversation to decimal 00:06:00
Expressing one quantity as percentage of another quantity 00:06:00
Finding increase decrease percent 00:05:00
Uses of Percentages-Word Problems 00:09:00
Ratio and Proportion
Ratio- How to express as simple ratio 00:09:00
How to compare Ratios 00:04:00
Word problems on finding ratios 00:07:00
To divide a given quantity into a given Ratio 00:11:00
Proportion 00:04:00
Practice problems on Proportion 00:06:00
Continued proportion 00:06:00
Unitary Method and its Applications
Direct Variation (or proportion) 00:04:00
Problems based on Direct proportion 00:10:00
Inverse Variation (or proportion) 00:10:00
Multiple Ratios 00:10:00
Profit , Loss, discount and Tax
Basics – Profit and Loss 00:04:00
More practice problems on Profit _ Loss 00:06:00
Selling price formula and Problems 00:04:00
Cost price formula and Problems 00:03:00
Higher problems on Profit and Loss 00:08:00
Basics – Discount 00:05:00
Practice problems on Discount 00:04:00
Tax 00:06:00
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Mathematics Fundamentals
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