# Emily Learning > You Partner in Education ## Posts - [O Level Math Lessons: Introduction to Algebra](https://emilylearning.com/o-level-math-lessons-introduction-to-algebra/): In this chapter on introduction to Algebra, we’ll cover these topics. You’ll find video lectures for each lesson. Lesson 1: What is algebra Lesson 2: Addition and subtraction of algebra Lesson 3: Multiplication of algebra Lesson 4: Division of algebra Lesson 5: Index notation of algebra Lesson 6: Expansion with Brackets Lesson 7: 4 Operations and More of Algebra Lesson 8: Substitution Lesson 9: Simple Factorization of Algebra Lesson 1: What is Algebra In this Math lesson, we look at what is algebra. Lesson 2: Addition and Subtraction of Algebra In this Math lesson, we look are addition and subtraction… - [O Level Math Lessons: Estimation and Approximation](https://emilylearning.com/o-level-math-lessons-estimation-and-approximation/): In this O Level Math Lesson on estimation and approximation, we’ll cover these topics. You’ll find video lectures for each lesson below: Lesson 1: Estimation Revision 1 Lesson 2: Significant Figures Lesson 3: Estimation and Approximation (Significant Figures) Lesson 4: Estimation: Square roots and cube roots Lesson 5: More estimation: involving the 4 operations Lesson 1: Estimation Revision 1 In this lesson, let’s do a revision on estimation and approximation that you have learned in primary school. We cover rounding off to the nearest whole numbers, nearest tens, hundreds, thousands and nearest decimal place and so on. Lesson 2: Significant… - [O Level Math Lessons: Real Numbers](https://emilylearning.com/o-level-math-lesson-real-numbers/): In this O Level Math Lesson on Real Numbers, we’ll cover these topics. You’ll find video lectures for each lesson. Lesson 1: Numbers on the Number Line Lesson 2: Whole Numbers and Integers Lesson 3: Four Operations of Negative Numbers Lesson 4: Rational vs Irrational Numbers Lesson 1: Numbers on the Number Line The first part of real numbers is to look at them on the number line. Hence, in this O Level Math lessons on real numbers, we look at how to represent real numbers on the number line. Lesson 2: Whole Numbers and Integers Whole numbers and integers… - [O Level Math Lessons: Factors and Multiples](https://emilylearning.com/math-free-lesson-factors-and-multiples/): In this chapter on Factors and Multiples, we'll cover these topics. You'll find video lectures for each lesson. - [2025 H2 A Level Mathematics Specimen Paper (9758) : Paper 2 Worked Solutions](https://emilylearning.com/2025-h2-a-level-mathematics-specimen-paper-9758-paper-2-worked-solutions/): Here's the worked solutions for the 2023 A Level H2 Mathematics Paper 1. - [2025 H2 A Level Mathematics Specimen Paper (9758) : Paper 1 Worked Solutions](https://emilylearning.com/2025-h2-a-level-mathematics-specimen-paper-9758-paper-1-worked-solutions/): Here's the worked solutions for the 2025 A Level H2 Mathematics Specimen Paper 1, for syllabus 9758 (from year 2025 and onwards). - [Ratio Theorem Question](https://emilylearning.com/ratio-theorem-question/): In vectors chapter, we learn ratio theorem. Let's apply what we have learned in ratio theorem to a question here. You'll also find full worked solutions with explanations provided. - [Crash Course JC1 H2 Math](https://emilylearning.com/crash-course-jc1-h2-math/): Here's a JC1 H2 Math crash course for you! - [MF26 List of Formula and Statistical Table for A Level H2 Math](https://emilylearning.com/mf26-list-of-formula-and-statistical-table-for-a-level-h2-math/): In this post, let's take a deep dive into MF26 Formula booklet for the H2 A Level Math exam. In this post, you'll learn the different sections of MF26, and when to use them. - [Challenging Questions in the 2023 H2 A Level Math Paper](https://emilylearning.com/challenging-questions-in-the-2023-h2-a-level-math-paper/): In this post, we'll be looking at the more challenging questions from the 2023 H2 A Level Math Paper. You'll also find the links to the video tutorial explaining these questions in this post. - [Overview of the 2023 H2 A Level Math Paper](https://emilylearning.com/overview-of-the-2023-h2-a-level-math-paper/): Let's look at an overview of the H2 Math A Level Paper in this blog post. We'll discuss the difficulty level of this paper, some interesting questions, and more. - [2023 H2 A Level Mathematics Paper 2 Worked Solutions](https://emilylearning.com/2023-h2-a-level-mathematics-paper-2-worked-solutions/): Here's the worked solutions for the 2023 A Level H2 Mathematics Paper 2. - [2023 H2 A Level Mathematics Paper 1 Worked Solutions](https://emilylearning.com/2023-h2-a-level-mathematics-paper-1-worked-solutions/): Here's the worked solutions for the 2023 A Level H2 Mathematics Paper 1. - [How to learn Transition Elements Topic Chapter - H2 A Level Chemistry](https://emilylearning.com/how-to-learn-transition-elements-topic-chapter-h2-a-level-chemistry/): Most schools cover the transition element topic last in the H2 A Level Chemistry syllabus. This topic is usually consists of very thick notes, and many students find it rather challenging how to learn this topic. In this post here, I’ll discuss how you can break this topic down to learn it. We can break this topic down into these areas and tackle them: Atomic Structure of Transition Elements Electronic Configuration of transition elements (1st row) Recall in the atomic structure chapter, we learn that electrons fill the 4s orbitals, before filling up the 3d orbitals? Conversely, when removing electrons… - [Organic Chemistry Summary - O Level Chemistry](https://emilylearning.com/organic-chemistry-summary-o-level-chemistry/): In organic chemistry for O Level Chemistry, students are expected to know the reactions, properties and structures of alkanes, alkenes, alcohols, carboxylic acids, and esters. Here's a one- page summary of organic chemistry topics as tested in O Level Chemistry. - [Electrochemical Cell - O Level Chemistry](https://emilylearning.com/electrochemical-cell-o-level-chemistry/): In this post, we'll look at a simple electrochemical cell, a simplified setup of it, and how it acts as a cell (to produce electricity). - [Electrolysis - O Level Chemistry](https://emilylearning.com/electrolysis-o-level-chemistry/): In this post, we'll look at the electrolytic cell, a simple setup of it, and how to determine the products at the cathode and the anode. - [Redox Reactions - O Level Chemistry](https://emilylearning.com/redox-reactions-o-level-chemistry/): In this post, we'll look at what are redox reactions, and define oxidation and reduction in terms of (i) oxygen (ii) hydrogen (iii) electrons and (iv) oxidation number. - [Endothermic and exothermic reactions](https://emilylearning.com/endothermic-and-exothermic-reactions/): In this post, we'll look at endothermic and exothermic reactions, and examples of such reactions. - [Rate of Reaction - O Level Chemistry](https://emilylearning.com/rate-of-reaction-o-level-chemistry/): In this post, we'll look at what is needed for a reaction to take place, and the factors that affect rate of reaction. - [Rusting - O Level Chemistry](https://emilylearning.com/rusting-o-level-chemistry/): In this post, we'll look at what is rusting, the conditions needed for rust to be formed, and how to protect iron from rusting. - [Properties of Metals](https://emilylearning.com/properties-of-metals/): In this post, we'll look at some common properties of metals, and explain the chemistry reason behind them. These properties include why pure metals are soft, why they are good conductors of electricity, and why they have relatively high melting and boiling point. - [Reactivity Series and Reactions of Metals](https://emilylearning.com/reactivity-series-and-reactions-of-metals/): In this post, we’ll look at the reactivity series of metals (tested in the O Level exam), and then have a look at some of the reactions of metals. Reactivity Series A reactivity series classify the metals according to their reactivity. Here is the reactivity series for common metals. The higher the metal is in the reactivity series, the more reactive it is. Potassium (K)  <—– Most reactiveSodium (Na)Calcium (Ca)Aluminium (Al)Zinc (Zn)Iron (Fe)Lead (Pb)Hydrogen (H)Copper (Cu)Silver (Ag)Gold  (Au) <— least reactive Reaction of Metals In the O Level Chemistry exam, you are tested on the following reactions of metals: The… - [Separation Techniques](https://emilylearning.com/separation-techniques/): In Chemistry, separation techniques are methods used to separate and purify components from a mixture. Some common separation techniques include: filtration, chromatography, distillation, crystallization, - [Correlation and Linear Regression](https://emilylearning.com/correlation-and-linear-regression/): In this post, we'll look at correlation and linear regression as tested in H2 A Level Math section on statistics. Here, you'll what is correlation, regression, product moment correlation coefficient (r), how to use the graphic calculator Ti84 to do a least square regression. - [Hypothesis Testing](https://emilylearning.com/hypothesis-testing/): In this post, you'll learn how to do a hypothesis testing for mean, using both the p-test method and the z-test (test statistics) method. - [Sampling](https://emilylearning.com/sampling/): In this post, we'll look at common concepts tested in sampling for H2 A Level Math, which include types of samples, central limit theorem, ... ... - [Normal Distribution](https://emilylearning.com/normal-distribution/): In this post, we'll look at common concepts tested in normal distribution for H2 A Level Math. - [Binomial Distribution](https://emilylearning.com/binomial-distribution/): A binomial distribution is a probability distribution that describes the number of successes in a given number of independent trials. The conditions needed for a binomial distribution are: Important Concepts for Binomial Distribution Finding Probability for binomial distribution using the graphic calculator Ti84 To find the probability for binomial distribution, we often use the graphic calculator Ti84. In this video, we talk about how to find the probability of binomial distribution using Ti84. How to approach H2 A Level Math Statistics Questions Want a complete course on binomial distribution and the whole of H2 A Level Math Statistics? Check out… - [Discrete Random Variables (DRV)](https://emilylearning.com/discrete-random-variables-drv/): A discrete random variable is one that takes discrete value e.g. 1, 2.4, 3, etc. For example, if a discrete random variable, X, represents the number shown on a dice, then X can only take ... .... - [Probability - H2 A Level Exam](https://emilylearning.com/probability-h2-a-level-exam/): In this post, we look at probability concepts tested in the H2 A Level Exam. - [Permutation and Combination (P&C) - H2 A Level Exam](https://emilylearning.com/permutation-and-combination-pc-h2-a-level-exam/): In this post, we look at permutation and combination concepts tested in the H2 A Level Exam. - [Complex Number Notes for H2 A Level Math](https://emilylearning.com/complex-number-notes-for-h2-a-level-math/): In H2 A Level Math, students are tested on complex numbers in cartesian, exponential and trigonometric form. - [Differential Equations](https://emilylearning.com/differential-equations/): In this differential equation lesson, we'll look at how to solve the type of differential equation tested in H2 A Level Math - variable separable type. - [Application of Integration to Area](https://emilylearning.com/application-of-integration-to-area/): In this post, you’ll find the formula used to find area by integration. Finding area between curve and x-axis To find the area bounded by the curve y = f(x),  the x-axis, the lines x= a and x= b: Note that area is a positive value. Hence, if the area lies beneath the x-axis, you’ll need to add |  | or a negative sign in front of it to make it positive. To find the area bounded by the curve x = g(y),  the y-axis, the lines y= a and y= b: Note that area is a positive value. Hence,… - [Application of Integration to Volume](https://emilylearning.com/application-of-integration-to-volume/): In this post, you'll find the formula to find the volume generated by the curve when it is rotated about the x-axis and y-axis. - [Integration Techniques](https://emilylearning.com/integration-techniques/): In this integration technique lesson, you'll find the integration formulae and techniques tested in H2 A Level Math. - [Maclaurin's Series](https://emilylearning.com/maclaurins-series/): Maclaurin's expansion can be used to approximate a function, f(x) into a polynomial form. The approximation can be done using this formula here. - [Application of Differentiation for H2 A Level Math](https://emilylearning.com/application-of-differentiation/): In application of differentiation for H2 A Level Math, you'll apply differentiation to increasing and decreasing functions, tangents and normals of curves, rate of change questions, stationary points of curves, and maximum and minimum problems. - [Differentiation Formula Tested in H2 A Level Math](https://emilylearning.com/differentiation-formula-tested-in-h2-a-level-math/): Here's a summary of differentiation techniques tested in H2 A Level Math. We look at differentiation formula, implicit differentiation, differentiation of parametric equations. - [Position vector vs Direction vector](https://emilylearning.com/position-vector-vs-direction-vector/): In this lesson on vector, we'll look at the difference between direction vectors and position vectors. - [Perpendicular Distance from a point to a line or a plane.](https://emilylearning.com/perpendicular-distance-from-a-point-to-a-line-or-a-plane/): In this vector lesson, we’ll look at perpendicular distance between a point and a line or plane. Perpendicular distance between a point and a line To find the distance between a point, we first need to find a point on the line e.g. A. Once A is found, find vector AP, and the perpendicular distance from P to the line is taken to be : where b is the direction vector of line l, (or any vector that is parallel to the line l). Perpendicular distance between a point and a plane. To find the perpendicular distance between a point… - [Length of Projection](https://emilylearning.com/length-of-projection/): In this vector lesson, you'll learn about what is length of projection, and how to find length of projection. - [Equation of lines - Vectors](https://emilylearning.com/equation-of-lines-vectors/): In this lesson on vectors, we’ll be looking at how to find the vector equation of lines. Format of Vector Equation of line: The vector equation of the line is written as r = a + λb, where λ∈ ℝ, a is a position vector that lies on the line, and b is any direction vector parallel to the line. Parametric Equation of line The parametric equation of a line takes the form: x = a₁ + λb₁ y = a₂ + λb₂ z = a₃ + λb₃ Cartesian Equation of line The cartesian equation of a line takes the… - [Equation of planes - Vectors](https://emilylearning.com/equation-of-planes-vectors/): In this lesson, we’ll look at how to find the equation of a plane in cartesian and vector form. Equation of plane in vector form To find the equation of a plane in vector form, you’ll first need to find a vector normal (i.e. perpendicular) to the plane. We call this vector normal to the plane the normal vector, n, of the plane. Once n is found, we’ll still need a position vector of a point that lies on the plane. Assuming that a is the position vector of a point that lies on the plane, then the vector equation… - [Vector Product of Vectors](https://emilylearning.com/vector-product-of-vectors/): In this lesson on vector product or cross product, we'll look at the the cross product of 2 vectors, what it means, and how to find them. - [Scalar Product of Vectors](https://emilylearning.com/scalar-product-of-vectors/): In this lesson on vector, we'll talk about the scalar product of vectors. - [Unit Vectors](https://emilylearning.com/unit-vectors/): In this lesson on vectors, we talk about what are unit vectors, how they are represented in Math, and how to find them. - [Magnitude of Vectors](https://emilylearning.com/magnitude-of-vectors/): In this lesson on vectors, we'll look at how to find the magnitude of a vector. - [Ratio Theorem - Vectors](https://emilylearning.com/ratio-theorem-vectors/): In this lesson on vectors, we'll look at how to apply ratio theorem to find the position vector of a point that lies between 2 other points. - [Collinear](https://emilylearning.com/collinear/): Points are said to be collinear if they lie on the same straight line. In the diagram, points, A, B and C are collinear as they lie on the same straight line. In order to show that A, B and C are collinear via the vector method, do these: For this example, to prove that A, B, and C are collinear, we can show that Notes on H2 Math Vectors You’ll find all the notes on H2 A Level Math Vectors topic here. All the notes for H2 A Level Math Go here to find all the notes and resources… - [Parallel Vectors](https://emilylearning.com/parallel-vectors/): In this lesson on vectors, we'll look at how to check or prove that 2 vectors are parallel to each other. - [How to denote Vectors](https://emilylearning.com/how-to-denote-vectors/): In this lesson, we look at the different ways of denoting vectors in Math. - [Introduction to Vectors](https://emilylearning.com/introduction-to-vectors/): A vector has both direction and magnitude. Equal vectors 2 vectors are equal to each other when they have the same direction and same magnitude. 2 vectors are said to be equal if: Addition of vectors When we add vectors we find the resultant magnitude and direction. 2 vectors can be added using the triangle rule. To do add 2 vectors using the triangle method: For instance, given the vectors a and b as shown below, draw a vector to represent a+b. Adding vector a to b by triangle rule gives a+b: Negative vectors When we put a negative sign… - [Using Method of Difference to find the Sum of A Series](https://emilylearning.com/using-method-of-difference-to-find-the-sum-of-a-series/): A brief introduction on method of difference The method of difference can be used to find the sum of a series if the term can be expressed as a difference of two of more terms, and when we sum up these terms, most of the intermediate terms are cancelled. Example of method of difference Solution We’ll start off by expressing 1/[(r+1)(r+2)] as partial fractions. Next to find the sum of a series using method of difference, you’ll need to list out the first few terms and the last few terms, and look at how the terms cancel off. The terms… - [Finding summation using the graphic calculator Ti84](https://emilylearning.com/finding-summation-using-the-graphic-calculator-ti84/): Here, you'll learn how to find summation using the graphic calculator, Ti84. - [Summation Σ](https://emilylearning.com/summation-%cf%83/): In this post, we'll look at an introduction to summation notation, how it is used, and commonly used formulae. - [Geometric Progression (GP)](https://emilylearning.com/geometric-progression-gp/): In this post, we'll look at what is an geometric progression (GP), examples of GP, general formula for terms and sum of of GP. - [Arithmetic Progression (AP)](https://emilylearning.com/arithmetic-progression/): In this post, we'll look at what is an arithmetic progression (AP), examples of AP, general formula for terms and sum of of AP. - [Sequences and Series](https://emilylearning.com/sequences-and-series/): What are sequences? In Math, a sequence is a list of numbers arranged in a given order, with a certain pattern. The following are examples of sequences: Example 1 – 1, 3, 5, 7, 9, …. In example 1, the first term is 1, the second term is 3 and so on. The pattern in this sequence involves adding 2 to the previous term to get the next term. Example 2 – 1, 4, 9, 16, 25, …. In example 2, the first term is 1, the second term is 4 and so on. The sequence consists of squared numbers.… - [Solving inequalities involving modulus](https://emilylearning.com/solving-inequalities-involving-modulus/): In this lesson, we'll look at solving inequalities involving modulus function, and the modulus function is limited to "part" of the expression on either (or both sides ) of the inequality sign. - [Solving inequalities involving modulus sign: |f(x)| > |g(x)| or |f(x)| < |g(x)|](https://emilylearning.com/solving-inequalities-involving-modulus-sign-fx-gx-or-fx-gx/): To solve an inequality involving |f(x)| > |g(x)| or |f(x)| < |g(x)| , we can make use of the results: Examples of Solving inequality involving |f(x)| > |g(x)| or |f(x)| < |g(x)| Question 1: Solve for x given |x-3| > |x+5|. Solutions |x-3| > |x+5| (x-3)² > (x+5)² x² – 6x + 9 > x² +10x + 25 -16>16x x < -1 Do note that we do not need to see | | at both sides of the inequality sign to use this method. We could use this method as long as you have || on one side, and the… - [Solving Inequalities with modulus sign: |f(x)| < g(x) or |f(x)| > g(x)](https://emilylearning.com/solving-inequalities-with-modulus-sign-fx-gx-or-fx-gx/): In this post, we'll look at solving Inequalities with modulus sign: |f(x)| < g(x) or |f(x)| > g(x). - [Modulus Functions](https://emilylearning.com/modulus-functions/): In this post, we'll talk about an introduction to modulus functions by looking at what they are, and how they are used. - [Solving Inequalities with functions that are always positive or negative](https://emilylearning.com/solving-inequalities-with-functions-that-are-always-positive-or-negative/): In this post, we'll look at how to solve inequalities with factors that are always positive or negative. - [Quadratic Functions that are always positive or negative](https://emilylearning.com/quadratic-functions-that-are-always-positive-or-negative/): In this post, we’ll look at quadratic functions that are always positive or negative. We can find out whether a quadratic function is always positive or negative by completing the square. To do so, we’ll first rewrite a quadratic function of the form ax² + bx +c into a(x+g)² + h by completing the square. All square numbers are positive. Hence, (x+g)² will always be greater than or equal to 0 or (x+g)²≥ 0. When a is positive, i.e. a> 0, a(x+g)²≥ 0. Then a(x+g)² + h≥ h for all values of x. This means that a(x+g)² + h has… - [How to Solve Inequalities with Polynomial Fractions](https://emilylearning.com/how-to-solve-inequalities-with-polynomial-fractions/): In this post, we'll look at the steps needed to solve inequalities with polynomial fractions. I'll also provide an example to show you the steps. - [How to Solve Polynomial Inequalities](https://emilylearning.com/how-to-solve-polynomial-inequalities/): In this post, we'll look at the steps needed to solve polynomial inequalities. I'll also provide an example to show you the steps. - [Solving Inequalities with the Graphic Calculator](https://emilylearning.com/solving-inequalities-with-the-graphic-calculator/): To solve inequalities using the graphic calculator, we can plot the equations on both sides of the inequality sign into the graphic calculator. Once this is done, look at the inequality to determine the region that we are interested in. The portion that is greater should have a larger y value, while the portion that is smaller should have a smaller x value. Give the range of values of x that satisfies this inequality. Example: Solve this inequality x³ + x² > 1 + x We have ln x on the left hand side of the inequality sign, and 1… - [Solving System of Linear Equations](https://emilylearning.com/solving-system-of-linear-equations/): Let's look at the steps on how to solve the system of linear equations using Ti84 graphic calculator. - [Multiple Transformation of Graphs](https://emilylearning.com/multiple-transformation-of-graphs/): In this post, we talk about multiple transformations of graphs, and the recommended order to follow. - [Transformation of Graphs](https://emilylearning.com/transformation-of-graphs/): In this post, we look at the transformation of graphs, which include translation, scaling, reflection and more. - [Curve Sketching](https://emilylearning.com/curve-sketching/): In this post, let's look at curve sketching of common functions as tested in H2 A Level Maths. - [Sketching Parametric Equations](https://emilylearning.com/sketching-parametric-equations/): Let's look at what are parametric equations and how to sketch them using the graphic calculator (Ti84). - [Sketching the graph of y = (ax²+bx+c)/(dx+e)](https://emilylearning.com/sketching-the-graph-of-y-ax%c2%b2bxc-dxe/): The graph of y = (ax² + bx + c) / (dx+e) has the following: Deriving the asymptotes: The asymptotes can be derived by the following way: Sketching the graph of y = (ax²+bx+c)/(dx+e) The graph of y = (ax²+bx+c)/(dx+e) can be sketched using the Ti-84 graphic calculator. To do so: Step 1: Press [y=] Step 2: Type in the equation Step 3: Press [graph] Note that equation of asymptotes are not shown on the graphic calculator. Examples of sketching the graph of y = (ax²+bx+c)/(dx+e) Example: Sketch the graph y = (2x² – 4x+ 5)/ (x+1) - [Sketching the Graph of y = (ax+b)/(cx+d)](https://emilylearning.com/sketching-the-graph-of-y-axb-cxd/): In this post, you'll learn how to sketch rectangular hyperbolas of the form y = (ax+b)/ (cx+d). You'll also learn how to find their asymptotes. - [Hyperbolas](https://emilylearning.com/hyperbolas/): The equation of ellipses take the form: (x-H)²/A²- (y-K)²/B² = 1 OR (y-K)²/B² – (x-H)²/A² = 1 Using the Graphic Calculator to obtain a sketch of the ellipse: Here’s how you can use the Graphic Calculator (Ti-84) to obtain the equation of the hyperbolas: Step 1: Press [Apps] Step 2: Select conics Step 3: Select hyperbolas Step 4: Select the form of the equation that you have (either option 1 or 2) Step 5: Type in the parameters i.e. H, K , A, B. Step 6: Press [Graph] Asymptotes of Hyperbolas While the Ti 84 graphic calculator is able to… - [Ellipses in Coordinate Geometry](https://emilylearning.com/ellipses-in-coordinate-geometry/): The equation of ellipses take the form: (x-a)²/c²+(y-b)²/d² = 1 where (a, b) is the centre of the ellipse, c is the width of the ellipse (from its centre), and d is the height of the ellipse from its centre. Using the Graphic Calculator to obtain a sketch of the ellipse: Here’s how you can use the Graphic Calculator (Ti-84) to obtain the equation of the ellipse: Step 1: Press [Apps] Step 2: Select conics Step 3: Select ellipse Step 4: Select the form of the equation that you have (either option 1 or 2) Use option 1 if the… - [Circles in Coordinate Geometry](https://emilylearning.com/circles-in-coordinate-geometry/): The equations of circles take the form: (x-a)²+(y-b)² = r² where (a, b) is the centre of the circle, and r is the radius. When the equation of circle is expressed in the form x²+2cx+y²+2dy+e=0, the centre of the circle is (-c, -d) and the radius is √(c²+d²-e). Using the Graphic Calculator to obtain a sketch of the circle: Here’s how you can use the Graphic Calculator (Ti-84) to obtain the equation of the curve: Step 1: Press [Apps] Step 2: Select conics Step 3: Select circle Step 4: Select the form of the equation that you have (either option… - [Functions](https://emilylearning.com/functions/): In this post, we will be covering concepts from the functions topic tested in the H2 A Level Mathematics exam. - [2018 H2 A Level Mathematics Paper 2 Worked Solutions](https://emilylearning.com/2018-h2-a-level-mathematics-paper-2-worked-solutions/): Here's the worked solutions for the 2018 H2 A Level Mathematics Paper 2. Click on the question number to go to the question directly. - [2018 H2 A Level Mathematics Paper 1 Worked Solutions](https://emilylearning.com/2018-h2-a-level-mathematics-paper-1-worked-solutions/): Here's the worked solutions for the 2018 H2 A Level Mathematics Paper 1. Click on the question number to go to the question directly. - [2019 H2 A Level Mathematics Paper 2 Worked Solutions](https://emilylearning.com/2019-h2-a-level-mathematics-paper-2-worked-solutions/): Here's the worked solutions for the 2019 H2 A Level Mathematics Paper 2. Click on the question number to go to the question directly. - [2019 H2 A Level Mathematics Paper 1 Worked Solutions](https://emilylearning.com/2019-h2-a-level-mathematics-paper-1-worked-solutions/): Here's the worked solutions for the 2019 H2 A Level Mathematics Paper 1. Click on the question number to go to the question directly. - [2020 H2 A Level Mathematics Paper 2 Worked Solutions](https://emilylearning.com/2020-h2-a-level-mathematics-paper-2-worked-solutions-2/): Here's the worked solutions for the 2020 H2 A Level Mathematics Paper 2. Click on the question number to go to the question directly. - [2020 H2 A Level Mathematics Paper 1 Worked Solutions](https://emilylearning.com/2020-h2-a-level-mathematics-paper-1-worked-solutions/): Here's the worked solutions for the 2020 H2 A Level Mathematics Paper 1. Click on the question number to go to the question directly. - [2021 H2 A Level Mathematics Paper 2 Worked Solutions](https://emilylearning.com/2021-h2-a-level-mathematics-paper-2-worked-solutions/): 2021 H2 A Level Mathematics Paper 2 Worked Solutions for question 1, complex numbers - [2021 H2 A Level Mathematics Paper 1 Worked Solutions](https://emilylearning.com/2021-h2-a-level-mathematics-paper-1-worked-solutions/): Here's the worked solutions for the 2021 H2 A Level Mathematics Paper 1. Click on the question number to go to the question directly. - [2022 H2 A Level Mathematics Paper 2 Worked Solutions](https://emilylearning.com/2022-h2-a-level-mathematics-paper-2-worked-solutions/): Here’s the worked solutions for the 2022 H2 A Level Mathematics Paper 2. Click on the question number to go to the question directly. Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 Question 11 Worked solutions for 2022 H2 A Level Mathematics Paper 2 Question 1 This question is on integration by substitution. Question 2 This question is on differential equations. (a) (b) (c) Question 3 This question is on complex numbers. 3(a) 3(b) Plotting z1, z2 and z3 on an argand diagram: 3(c) Hence k = 2187… - [2022 H2 A Level Mathematics Paper 1 Worked Solutions](https://emilylearning.com/2022-h2-a-level-mathematics-paper-1-worked-solutions/): Here’s the worked solutions for the 2022 H2 A Level Mathematics Paper 1. Click on the question number to go to the question directly. Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 Question 11 Question 12 Worked solutions for 2022 H2 A Level Mathematics Paper 1 Question 1 Given : iz + 2w = -1 —- (1) (2-i)z + iw = 6 —- (2) Find z and w in a + bi form where a and b are real numbers. Question 2 This is a question on Maclaurin… - [Cambridge International Exams Resources](https://emilylearning.com/cambridge-international-exams-resources/): Hey everyone, want to announce that I’ll start adding Cambridge International Exam (CIE) Resources to this website. I realize there are quite a number of students in Singapore taking these exams as well, and I am taking on a number of these students this year! Going forward, this website will also be sharing resources on CIE iGCSE Math, Physics, Chemistry, as well as A Level Math, Physics, and Chemistry. As a start, we have started to create videos on CIE iGCSE. You can watch our new iGCSE Chemistry videos here: More to come in the coming months. Stay tuned while… - [Radioactivity: What's tested in O Level Physics](https://emilylearning.com/radioactivity-o-level-physics/): A new topic, radioactivity will be tested in O Level Physics starting from 2024. There are 3 main parts tested: atomic structure, radioactive decay, and application and dangers of radioactivity. - [2023 Mathematics Specimen Paper 2](https://emilylearning.com/2023-mathematics-specimen-paper-2/): In this post, you'll find the worked solutions for the 2023 Mathematics specimen paper 2. 2023 will be the first year for syllabus 4052. - [2023 Mathematics Specimen Paper 1](https://emilylearning.com/2023-mathematics-specimen-paper-1/): In this post, you'll find the worked solutions for the 2023 Mathematics specimen paper 1. This will be the first year for syllabus 4052. - [Orbital Hybridisation - sp³, sp², sp hybridisation](https://emilylearning.com/orbital-hybridisation/): In this post, we'll talk about sp³, sp² and sp orbital hybridisation. Also, I'll show you an easy way to determine hybridisation. - [How to find probabilities for binomial distribution with TI 84 graphic calculator](https://emilylearning.com/how-to-find-probabilities-for-binomial-distribution-with-ti-84-graphic-calculator/): Let's look at how to find probabilities for binomial distribution with Ti 84 CE plus graphic calculator, tested in statistics section. - [Sampling Questions: A Level TYS Answers](https://emilylearning.com/sampling-questions-a-level-tys-answers/): Find the worked solutions for past A Level sampling questions, which are found in paper 2 of H2 Math papers, statistics section. - [Hypothesis Testing Questions: A Level TYS Answers](https://emilylearning.com/hypothesis-testing-questions-a-level-tys-answers/): Find the worked solutions for past A Level hypothesis testing questions, which are found in paper 2 of H2 Math papers, statistics section. - [Regression and Correlation Questions: A Level TYS Answers](https://emilylearning.com/regression-and-correlation-questions-a-level-tys-answers/): Find the worked solutions for past A Level regression and correlation questions, found in paper 2 of H2 Math papers, statistics section. - [Binomial Distribution Questions: A Level TYS Answers](https://emilylearning.com/binomial-distribution-questions-a-level-tys-answers/): Find the worked solutions for past A Level binomial distribution questions. Binomial distribution questions are found in paper 2, statistics section of A Level Math. ## Pages - [Video Guide](https://emilylearning.com/video-guide/): Here are the video guides that follow closely our books. Organic Chemistry: An Essential Summary for H2 A Level Chemistry Students Organic Chemistry: An Essential Summary for H2 A Level Chemistry Students The video guide for this book can be found here. - [Tuition Lessons](https://emilylearning.com/tuition-lessons/): Interested in engaging me as a tutor? Fill in the form below. I conduct 2 types of lessons: Fill in the form below to enquire about them. 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