OCR AS Level Further Mathematics (H635) Topic Questions

Boost your OCR AS Level Further Mathematics (H635) score with our expertly crafted topic questions by Exam Papers Practice. Covering all key syllabus areas, including calculus, complex numbers, matrices, mechanics, and more, our questions are designed to mirror real exam problems. Sharpen your problem-solving skills, reinforce key concepts, and gain the confidence you need to excel in your 2025 exams and beyond. Prepare smarter and achieve your best results with our exam-style topic questions!

Here are the topic questions with detailed mark schemes:

Discrete Math and Additional Pure Mathematics

Additional Pure Mathematics

Discrete Mathematics

Mechanics

Center of Mass

Dimensional Analysis

Further Dynamics

Impulse and Momentum

Motion in a Circle

Work, Energy and Power

Pure Core

Complex Number

Differential Equations

Further Algebra

Further Calculus

Further Vectors

Hyperbolic Functions

Polar Coordinates

Statistics

Chi-squared Tests

Continuous Random Variables

Linear Regression

Non-parametric Tests

Other Topics That Might Found Useful for this Course

Algebra & Functions

Evaluate Limits Using L'Hopital's Rule

Evaluate Limits Using Maclaurin's Series

Finding Maclaurin's Series

Graphs of Modulus and Reciprocals

Inequalities of Polynomials

Limits of Rational Polynomials

Modulus Equations and Inequalities

Oblique Asymptotes and Range of Rational Functions

Root Relationshhips (Quartics)

Root Relationships (Quadratics)

Sketching Rational Graphs

Solving Rational Inequalities Algebraically

Using Common Maclaurin's Series

Using Common Series

Calculus

Arc Length of Curves

Differentiating Inverse Trigonometric Functions

Improper Intergrals

Integrating Using Inverse Trigonometry

Mean Value of a Function

Partial Fraction Integration

Reduction Formula

Surface Area of Revolution

Two Limit Rules

Volume of Revolution

Complex Numbers

Add, Subtract and Multiply

Argrand Diagrams

Complex Conjugate Pairs

Complex Solutions to Quadratics

De Moivre's Theorem

Euler's Identiy and Exponential Form

Forms of a Complex Number

Loci of Complex Numbers

Modulus and Argument

Modulus and Argument Form

Modulus & Argument Multiplication

Nth Root of a Complex Number

Rationalize Complex Numbers

Summing Using De Moivre's

Differential Equations

Auxiliary Equation

Coupled Differential Equations

Hooke's Law and Simple Harmonic Motion

Integrating Fator

Second Order Homogeneous ODEs

Second Order Inhomogeneous ODEs

Simple Harmonic Motion with Damping

Hyperbolic Functions

Differentiating Hyperbolic Trigonometric Functions

Hyperbolic Trigonometric Functions

Hyperbolic Trigonometric Identities

Integrating Hyperbolic Trigonometric Functions

Integrating Using Inverse Hyperbolic Trigonometry

Inverse Hyperbolic Trigonometric Functions

Reciprocal Hyperbolic Trigonometric functions

Matrices

Basics of Matrices

Cayley Hamilton Theorem

Determinant Factorization

Determinant of 2x2 Matrices

Determinant of 3x3 Matrices

Eigen Values and Eigen Factors

Invariant Points and Lines

Inverse of 2x2 Matrices

Inverse of 3x3 Matrices

Matrix Diagonalization

Matrix Transforms in 2D

Matrix Transforms in 3D

Multiple Matrix Transforms

Multiplying Matrices

Singularities

Solving Simultaneous Equations

Numerical Methods

Euler's Step Method

Improved Euler's Method

Mid Ordinate Rule

Simpson's Rule

Polar Coordinates

Area Under a Polar

Polar Coordinates

Sketching Polar Curves

Tangents to Polar Curves

Proof

Method of Differences

Proof by Induction (Divisibility)

Proof by Induction (Matrices)

Proof by Induction (Sequences)

Proof by Induction (Series)

Vectors

Angle Between Lines

Angle Between Two Planes

Angle Between Lines and Planes

Distance Between a Line and Point

Distance Between a Plane and Point

Distance Between Two Lines

Equation of a Line

Equation of a Plane

Intersection of Lines and Planes

Intersection of Lines

Scalar Product

Using the Vector Product

Vector Product

Other Topic Driven Questions

Complex Numbers 1a & b

Complex Numbers 1b & c

Complex Numbers 1d

Matrices (Arithmetic 2x2 Inverse)

Matrices (Simultaneous Equations 3x3 Inverse)

Poisson Distribution

Algorithms on Graphs (MST and Shortest Paths)

Matrix Transformations

Matrix Transformations (Invariance)

Discrete Random Variables

Complex Numbers (Roots of Equations)

Route Inspection

Poisson (Binomial)

Roots of Polynomials

Roots of Polynomials (Inc Transformation of Roots)

Linear Programming

Proof by Induction

Chi Square Testing (Goodness of Fit)

Vector Lines (Intersections & Angles)

Vector Lines (Planes & Distances)

Chi Squared Tests (Contingency Tables)

Critical Path Analysis

Volumes of Revolution

How to Use OCR AS Level Further Mathematics (H635) Topic Questions Effectively

Preparing for OCR AS Level Further Mathematics (H635) requires a solid understanding of complex mathematical concepts and consistent practice. Using topic questions effectively can make a significant difference in your exam performance. Here’s a step-by-step guide to maximize your preparation:

1. Understand the Syllabus

Before diving into practice questions, familiarize yourself with the OCR AS Level Further Mathematics (H635) syllabus. Understand the key topics, including:

  • Complex Numbers

  • Matrices

  • Calculus

  • Mechanics

  • Statistics

  • Differential Equations
    Knowing what’s expected will help you focus on relevant areas and avoid wasting time on topics outside the syllabus.


2. Create a Study Plan

Organize your study sessions by breaking down the syllabus into manageable sections. Allocate time for each topic based on your strengths and weaknesses. Prioritize areas you find challenging and leave room for review sessions.


3. Start with Topic-Specific Practice

Begin by answering questions from one topic at a time. This focused approach helps reinforce your understanding of each area. As you practice, consider the following tips:

  • Understand the Problem: Read each question carefully to ensure you understand what is being asked.

  • Show Your Working: Even if the answer seems obvious, write out all the steps. This builds good habits and ensures partial marks in exams.

  • Check Answers and Solutions: Compare your answers to detailed solutions. Identify mistakes and understand where you went wrong.


4. Mix It Up with Mixed Topic Questions

Once you’ve gained confidence in individual topics, challenge yourself with mixed-topic questions. This simulates actual exam conditions and trains you to think on your feet.


5. Time Yourself Under Exam Conditions

Set a timer to match exam conditions when practicing. This helps you manage your time effectively and reduces exam-day stress.


6. Review Mistakes and Weak Areas

Keep a log of questions you answered incorrectly and revisit them. Understanding your mistakes is crucial for improvement.


7. Consistent Revision and Practice

Regular practice is key to mastering OCR AS Level Further Mathematics. Aim to solve a variety of questions regularly, focusing on difficult areas.


8. Take Mock Tests

Simulate exam conditions by completing past papers or mock tests. This builds confidence and highlights areas that need more practice.


9. Seek Help When Needed

If you struggle with a specific topic, don’t hesitate to seek help. Use online resources, reach out to teachers, or join study groups.


10. Stay Positive and Persistent

Mathematics can be challenging, but persistence is key. Celebrate your progress and stay motivated throughout your preparation journey.


Using OCR AS Level Further Mathematics (H635) topic questions effectively will strengthen your understanding, boost your confidence, and set you up for success in your 2025 exams and beyond. Start practicing today and achieve your best results!

Boost your OCR AS Level Further Mathematics (H635) score with Exam Papers Practice! Our topic questions and mark schemes help you master key concepts, enhance problem-solving skills, and build exam confidence for 2025 and beyond. Start practicing today at Exam Papers Practice!