Math Academy

JC H2 Maths Tuition | Why Higher Variance Makes the Bell Curve Wider

In this JC H2 Maths Tuition lesson, we explore how the shape of a normal distribution graph changes when the mean stays the same but the variance changes.

You will learn:
• How variance affects the spread of the graph
• Why larger variance produces a wider and flatter bell curve
• Why smaller variance produces a taller and narrower graph
• How to interpret normal distribution sketches in A Level questions

This topic is commonly tested in JC H2 Mathematics, especially in probability and statistics questions involving normal distribution.

Suitable for:
• JC1 H2 Mathematics students
• JC2 H2 Mathematics revision
• Students preparing for A Levels

Subscribe for more JC H2 Maths Tuition videos covering:
• Probability
• Statistics
• Functions
• Calculus
• Vectors
• Differential Equations

ABOUT JC H2 MATH TUITION CLASSES

https://mathacademy.sg/courses/jc-maths-tuition-h2/

All JC H2 Maths tuition classes are taught by Mr Ian Ang, co-founder of Math Academy.

Mr Ang graduated with First Class Honours in Pure Mathematics from the National University of Singapore (NUS), an award conferred on the top 5% of the cohort. He has consistently achieved top distinctions across E Mathematics, Additional Mathematics, H2 Mathematics and Further Mathematics at national examinations.

In his teaching, Mr Ang places strong emphasis on clarity, structure, and exam applicability. Complex H2 Maths concepts are broken down into clear, logical steps that students can recognise and apply confidently during tests and A Level examinations. Lessons focus on identifying standard question types, understanding the intent of exam questions, and applying the appropriate techniques efficiently.

Students are guided to develop a systematic way of thinking, allowing them to handle unfamiliar questions without panic. Common misconceptions are addressed early, and students learn how to present solutions clearly to secure method and accuracy marks.

Classes are conducted in small groups to ensure close supervision, personalised feedback, and consistent progress.

Don’t just take our word for it 👇

In this Sec 4 Maths Tuition lesson, we tackle a common exam question:

👉 How do you prove that a function is always increasing over a given range?

You’ll learn:

How to differentiate the function correctly
How to interpret the derivative
How to use inequalities to show positive
Key exam techniques to present your answer clearly

This type of question frequently appears in O-Level Additional Math, and many students lose marks by not justifying their inequality steps properly.

By the end of this video, you’ll be able to confidently:
✔ Show a function is increasing
✔ Apply inequality concepts correctly
✔ Avoid common mistakes in differentiation questions

💡 Perfect for Sec 4 students preparing for O Levels and aiming to score distinctions in A Maths.

📚 Looking for structured lessons, notes, and step-by-step solutions?
Check out our full Sec 4 Maths Tuition programme designed to help you master concepts and excel in exams.

ABOUT MATH ACADEMY https://mathacademy.sg
We are an exclusive maths tuition centre that specializes only in Mathematics, from secondary to JC. All our tutors graduated with a degree in Mathematics from NUS (National University of Singapore), with other certifications ranging from MOE PGDE to First Class Honours.

We are extremely familiar with the concepts and techniques required to do well in O and A levels, and we prepare our JC H2 math tuition and A Maths tuition classes towards achieving a top grade.

ABOUT Sec 3 and 4 MATH TUITION CLASSES https://mathacademy.sg/courses/a-maths-tuition/
Founder of Math Academy tuition centre, Ms Jolyn Ang is a former MOE school teacher with 20 years of teaching experience. She has graduated from NUS with a degree in Mathematics, and also holds a Postgraduate Diploma in Education, specialising in teaching Math at Secondary School level.

With her experience in setting examinations whilst at MOE, Ms Jolyn has a broad and comprehensive understanding of the demands and trends in a Math Examination paper. In addition, the yearly O Levels Marker’s report has been analysed, and this provides an even clearer understanding of what examiners are looking for when awarding marks at the O Levels.

Ms Ang’s dedication in improving the results of the students goes beyond just the preparation of the materials. She engages students in inquiry-based-learning, asking guiding questions to trigger and kickstart the analytical process of solving Math. The weekly worksheets are also marked, and this allows for each and every students’ ability to be assessed, identifying issues and correcting them on a weekly basis. A small class of an average of just 6 students, Ms Jolyn is able to provide close individual attention and help students improve.

Sec 3 Maths Tuition | Remainder Theorem & Factor Theorem Explained (Step-by-Step)

Struggling with Remainder Theorem and Factor Theorem? In this Sec 3 Additional Maths Tuition lesson, we break it down step-by-step in a simple and clear way.

📌 In this video, you’ll learn:

How to apply the Remainder Theorem
How to use given factors to solve problems
How to find the remainder when the quotient is formed by two factors
Common exam question types and techniques

This is a must-know topic for Secondary 3 students preparing for exams and building a strong foundation for A Maths.

🎯 Perfect for students who:

Find algebra confusing
Want clear worked examples
Need exam-focused strategies

📚 Get ahead in your Sec 3 A. Maths with structured guidance and practice.

ABOUT MATH ACADEMY https://mathacademy.sg
We are an exclusive maths tuition centre that specializes only in Mathematics, from secondary to JC. All our tutors graduated with a degree in Mathematics from NUS (National University of Singapore), with other certifications ranging from MOE PGDE to First Class Honours.

We are extremely familiar with the concepts and techniques required to do well in O and A levels, and we prepare our JC H2 math tuition and A Maths tuition classes towards achieving a top grade.

ABOUT Sec 3 and 4 MATH TUITION CLASSES https://mathacademy.sg/courses/a-maths-tuition/
Founder of Math Academy tuition centre, Ms Jolyn Ang is a former MOE school teacher with 20 years of teaching experience. She has graduated from NUS with a degree in Mathematics, and also holds a Postgraduate Diploma in Education, specialising in teaching Math at Secondary School level.

With her experience in setting examinations whilst at MOE, Ms Jolyn has a broad and comprehensive understanding of the demands and trends in a Math Examination paper. In addition, the yearly O Levels Marker’s report has been analysed, and this provides an even clearer understanding of what examiners are looking for when awarding marks at the O Levels.

Ms Ang’s dedication in improving the results of the students goes beyond just the preparation of the materials. She engages students in inquiry-based-learning, asking guiding questions to trigger and kickstart the analytical process of solving Math. The weekly worksheets are also marked, and this allows for each and every students’ ability to be assessed, identifying issues and correcting them on a weekly basis. A small class of an average of just 6 students, Ms Jolyn is able to provide close individual attention and help students improve.

Sec 3 Maths Tuition | Logarithms: Combining Logs Using Given Values (A Maths)

Struggling with logarithms in Sec 4 A Maths?

This video breaks down how to:
✔ Combine logs using given values
✔ Use log rules with confidence
✔ Handle tricky exam questions

We simplify concepts so you can apply them quickly during exams.

ABOUT MATH ACADEMY https://mathacademy.sg
We are an exclusive maths tuition centre that specializes only in Mathematics, from secondary to JC. All our tutors graduated with a degree in Mathematics from NUS (National University of Singapore), with other certifications ranging from MOE PGDE to First Class Honours.

We are extremely familiar with the concepts and techniques required to do well in O and A levels, and we prepare our JC H2 math tuition and A Maths tuition classes towards achieving a top grade.

ABOUT Sec 3 and 4 MATH TUITION CLASSES https://mathacademy.sg/courses/a-maths-tuition/
Founder of Math Academy tuition centre, Ms Jolyn Ang is a former MOE school teacher with 20 years of teaching experience. She has graduated from NUS with a degree in Mathematics, and also holds a Postgraduate Diploma in Education, specialising in teaching Math at Secondary School level.

With her experience in setting examinations whilst at MOE, Ms Jolyn has a broad and comprehensive understanding of the demands and trends in a Math Examination paper. In addition, the yearly O Levels Marker’s report has been analysed, and this provides an even clearer understanding of what examiners are looking for when awarding marks at the O Levels.

Ms Ang’s dedication in improving the results of the students goes beyond just the preparation of the materials. She engages students in inquiry-based-learning, asking guiding questions to trigger and kickstart the analytical process of solving Math. The weekly worksheets are also marked, and this allows for each and every students’ ability to be assessed, identifying issues and correcting them on a weekly basis. A small class of an average of just 6 students, Ms Jolyn is able to provide close individual attention and help students improve.

JC H2 Math Tuition | Solving Inequalities Using Graphs (Unknown Coefficients & Modulus)

In this JC H2 Maths tuition lesson, we tackle a classic Sequences and Series APGP question that frequently appears in A Level exams.

Instead of treating Arithmetic Progressions (AP) and Geometric Progressions (GP) separately, we show how to link an AP and a GP together to form key relationships. By doing so, we derive the relationship between a and d, and use it to efficiently solve for the common ratio r.

In this video, you’ll learn:
How AP and GP can be connected in APGP-style questions
How to form equations linking a, d, and r
Common pitfalls students make in APGP questions
A clear, exam-ready method for solving efficiently
This approach is especially useful for students aiming to secure method marks and avoid unnecessary algebra in JC H2 Mathematics exams.

ABOUT JC H2 MATH TUITION CLASSES

https://mathacademy.sg/courses/jc-maths-tuition-h2/

All JC H2 Maths tuition classes are taught by Mr Ian Ang, co-founder of Math Academy.

Mr Ang graduated with First Class Honours in Pure Mathematics from the National University of Singapore (NUS), an award conferred on the top 5% of the cohort. He has consistently achieved top distinctions across E Mathematics, Additional Mathematics, H2 Mathematics and Further Mathematics at national examinations.

In his teaching, Mr Ang places strong emphasis on clarity, structure, and exam applicability. Complex H2 Maths concepts are broken down into clear, logical steps that students can recognise and apply confidently during tests and A Level examinations. Lessons focus on identifying standard question types, understanding the intent of exam questions, and applying the appropriate techniques efficiently.

Students are guided to develop a systematic way of thinking, allowing them to handle unfamiliar questions without panic. Common misconceptions are addressed early, and students learn how to present solutions clearly to secure method and accuracy marks.

Classes are conducted in small groups to ensure close supervision, personalised feedback, and consistent progress.

JC H2 Maths Tuition | AP GP Recurring Payment Problem (Finance Applications Explained)

In this lesson, we solve a recurring finance problem involving AP GP, a common application tested in JC H2 Mathematics A Level examinations.

Students often struggle when questions involve:

• Monthly deposits
• Interest rates applied regularly
• Recurring additions to an investment
• Combining arithmetic and geometric progressions

In this example, we break the problem down step-by-step, showing how to organise the working systematically to avoid mistakes.

This method is particularly useful for financial mathematics questions involving recurring payments, which frequently appear in A Level examinations.

At Math Academy, we train students to handle these application problems through structured methods and extensive practice.

Topics covered
AP GP financial applications
Recurring monthly investments
Interest rate calculations

ABOUT JC H2 MATH TUITION CLASSES

https://mathacademy.sg/courses/jc-maths-tuition-h2/

All JC H2 Maths tuition classes are taught by Mr Ian Ang, co-founder of Math Academy.

Mr Ang graduated with First Class Honours in Pure Mathematics from the National University of Singapore (NUS), an award conferred on the top 5% of the cohort. He has consistently achieved top distinctions across E Mathematics, Additional Mathematics, H2 Mathematics and Further Mathematics at national examinations.

In his teaching, Mr Ang places strong emphasis on clarity, structure, and exam applicability. Complex H2 Maths concepts are broken down into clear, logical steps that students can recognise and apply confidently during tests and A Level examinations. Lessons focus on identifying standard question types, understanding the intent of exam questions, and applying the appropriate techniques efficiently.

Students are guided to develop a systematic way of thinking, allowing them to handle unfamiliar questions without panic. Common misconceptions are addressed early, and students learn how to present solutions clearly to secure method and accuracy marks.

Classes are conducted in small groups to ensure close supervision, personalised feedback, and consistent progress.

Math is built layer by layer.

Secondary.
JC.

We guide both.

Welcome to Math Academy.

Behind your achievements are countless months of effort, resilience and determination. It has been a joy to guide everyone of you through this journey and to witness your growth firsthand. Thank you for trusting Math Academy to be part of it. We wish you courage and fulfilment in the exciting chapter ahead.