# O Level Mathematics

Here’s a compilation of the O Level Mathematics resources to help you with your revision.

# Topics Tested in O Level Mathematics

## Section 1: Numbers

1. Prime Numbers
• prime numbers
• prime factorisation
• Applying prime factorisation to LCM, HCF, square roots and cube roots
2. Numbers and the number line
• Negative and positive numbers
• integers
• rational and irrational numbers
• representing numbers on the number line
• inequalities and representing them on the number line
3. Approximation and rounding off
4. Standard form
5. Ratio and Proportion
• ratios involving rational numbers
• writing ratios in simplest forms
• maps (distance and area)
• direct and inverse proportion
6. Percentage
• expressing something as a percentage of another
• comparing percentages
• increase/ decrease
• reverse percentage
• simple and compound interests
7. Rate and Speed
• rate and speed problems
• conversions between different units of speed/ rate
8. Indices
• positive, negative, fractional and zero indices
• laws of indices
9. Set language and notation
• understanding set notation
• Venn diagram
10. Matrices
• display information in matrice
• interpret data in matrices
• product of a scalar and a matrice
• product of matrices
• problem sums involving matrices

## Section 2: Algebra

1. Basic operation of algebra
2. Evaluation of algebraic expressions and formulae
3. Using algebra to represent nth term of a number pattern
4. Simplify algebraic expressions
5. Factorisation:
• extract common factors
• factorisation (4 terms expression)
• by using common formula for expansion
• factorisation of quadratic expressions
6. Expansion of algebraic expressions
7. Multiplication and division of algebraic expressions
8. Simplify addition and subtraction of algebraic fractions into a single fraction
9. Graphs
• Cartesian coordinates in two dimensions
• Gradient, y-intercepts and x- intercepts
• linear functions
• quadratic functions, their properties, and sketching
• graphs of power functions
• graphs of exponential functions
• drawing tangents of curve to estimate gradient
10. Coordinate Geometry
• Finding gradient of straight lines
• Length between two points
• Midpoints
• Finding equation of straight lines
11. Solving equations
• Linear algebraic equations
• Solve linear simultaneous equations
• Solving quadratic equations
• Problem sums involving linear and quadratic equations
12. Solving equations graphically
13. Inequalities
• Solving inequalities

## Section 3: Geometry and Measurement

1. Conversion of units: cm2 and m2 , and between cm3 and m3
2. Congruent figures
3. Similar figures
4. Ratio of length, area and volume of similar figures
5. Construct perpendicular bisector and angle bisector
6. Triangles:
• Angle properties
• Pythagoras’ theorem, and trigonometric ratios
• Other formulae to find length/ angle of triangles
• finding area and perimeter of triangles
• constructing triangles
7. Parallelograms, rhombuses and trapeziums
• properties
• finding area and perimeter
8. Circles:
• symmetry and angle properties of circles
• radian and degrees conversion
• arc length, sector area and area of a segment of a circle
9. Volume and surface area of 3-D figures:
• cube, cuboid, prism, cylinder, pyramid, cone, and sphere
10. Vectors
• Various forms of representing vectors
• vector translation
• magnitude of vectors
• sum and differences of vectors
• parallel and collinear vectors

## Section 4: Statistics and Probability

1. Data handling and analysis
• Different ways of representing data and their advantages and disadvantages using
• tables
• bar graphs
• pictograms
• line graphs
• pie charts
• dot diagrams
• histograms with equal class intervals
• stem-and-leaf diagrams
• cumulative frequency diagrams
• mean, mode and median
• quartiles and interquartile range
• cumulative frequency curves and their interpretation
• calculating mean and standard deviation
2. Probability
• probability of single events
• probability of multiple events
• drawing of tree diagrams
• addition and multiplication of probabilities

~ Coming soon!

## O Level Mathematics Crash Course

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