Preparing for the AEIS Exam requires more than simply memorising formulas. Students need to understand when and how to apply mathematical concepts to solve problems accurately under exam conditions. Mathematics is one of the two core subjects tested in the AEIS Exam, and having a solid grasp of essential formulas can significantly improve your performance.
This AEIS Math Formula Sheet is designed to help international students preparing for the AEIS Exam Singapore. It covers the most important mathematical formulas, explains their applications, and provides practical revision tips. Whether you are taking the Primary or Secondary level AEIS Exam, this guide will help strengthen your mathematical foundation.
Table of Contents
- Why Formula Mastery is Important for the AEIS Exam
- Numbers and Basic Operations
- Fractions, Decimals and Percentages
- Ratio and Proportion
- Speed, Time and Distance
- Geometry Formulas
- Perimeter and Area
- Volume of Common Solids
- Angles
- Algebra Formulas
- Data Handling
- Mental Calculation Tips
- Common Formula Mistakes
- How to Memorise AEIS Math Formulas
- Final Thoughts
Why Formula Mastery is Important for the AEIS Exam
Many students believe the AEIS Mathematics paper is simply about calculation. In reality, it tests logical thinking, problem-solving abilities, and the application of mathematical concepts to real-life situations.
Knowing formulas allows students to:
- Solve questions faster
- Reduce careless mistakes
- Build confidence during the exam
- Spend more time on challenging questions
Instead of memorising blindly, students should practise applying formulas through AEIS practice papers.
Numbers and Basic Operations
Students should be comfortable with:
- Addition
- Subtraction
- Multiplication
- Division
- Order of Operations (BODMAS)
Useful formulas include:
Square of a number
a × a
Cube of a number
a × a × a
Average
Average = Total Sum ÷ Number of Items
Example:
The average of 15, 18 and 21 is
(15 + 18 + 21) ÷ 3 = 18
Fractions, Decimals and Percentages
These topics appear frequently in the AEIS Exam.
Percentage Formula
Percentage = (Part ÷ Whole) × 100%
Finding a Percentage
Amount × Percentage
Example
25% of 200
= 200 × 25%
= 50
Percentage Increase
(New − Original) ÷ Original × 100%
Percentage Decrease
(Original − New) ÷ Original × 100%
Students should also know how to:
- Convert fractions to decimals
- Convert decimals to percentages
- Simplify fractions
- Compare fractions
Ratio and Proportion
Ratio questions are common in both Primary and Secondary AEIS papers.
Basic Ratio
a : b
Equivalent Ratios
Multiply or divide both sides by the same number.
Example
2 : 5
Equivalent to
4 : 10
6 : 15
10 : 25
Direct Proportion
If one quantity doubles, the other also doubles.
Inverse Proportion
If one quantity increases, the other decreases.
Students should practise dividing amounts according to ratios.
Speed, Time and Distance
This is one of the highest-scoring topics.
Formula
Speed = Distance ÷ Time
Distance = Speed × Time
Time = Distance ÷ Speed
Example
A car travels 180 km in 3 hours.
Speed
180 ÷ 3
= 60 km/h
Always check that units are consistent before solving.
Geometry Formulas
Students should know the names and properties of common shapes.
Rectangle
Length
Width
Square
Four equal sides
Triangle
Three sides
Circle
Radius
Diameter
Circumference
Understanding shape properties helps students answer geometry questions correctly.
Perimeter and Area
Rectangle
Perimeter
2 × (Length + Width)
Area
Length × Width
Square
Perimeter
4 × Side
Area
Side × Side
Triangle
Area
½ × Base × Height
Parallelogram
Area
Base × Height
Circle
Area
πr²
Circumference
2πr
Students should remember that perimeter measures the boundary while area measures the space inside a shape.
Volume of Common Solids
Cube
Volume
Side³
Cuboid
Volume
Length × Width × Height
Students should understand the difference between area and volume.
Area
Measured in square units.
Volume
Measured in cubic units.
Angles
Important angle facts include:
Right angle
90°
Straight angle
180°
Full angle
360°
Angles in a triangle
180°
Angles around a point
360°
Vertically opposite angles are equal.
Students should practise solving missing angle questions using these rules.
Algebra Formulas
AEIS Mathematics includes simple algebra.
Example
3x + 5 = 20
Subtract 5
3x = 15
Divide by 3
x = 5
Students should understand:
- Variables
- Expressions
- Equations
- Substitution
- Simplifying expressions
Regular practice improves algebra confidence.
Data Handling
Students should know how to interpret:
- Tables
- Bar charts
- Line graphs
- Pie charts
- Pictograms
Important formula
Average
Total ÷ Number of Values
Students should read questions carefully and avoid copying incorrect values from graphs.
Mental Calculation Tips
Strong mental calculation saves valuable exam time.
Helpful habits include:
- Memorise multiplication tables.
- Know common fraction-decimal conversions.
- Estimate answers before calculating.
- Simplify calculations whenever possible.
- Check whether your answer is reasonable.
Good mental arithmetic also helps identify careless mistakes.
Common Formula Mistakes
Many students lose marks because they apply the wrong formula.
Common mistakes include:
Confusing area with perimeter.
Using the diameter instead of the radius for circles.
Forgetting to convert hours into minutes.
Incorrect percentage calculations.
Writing incorrect units.
Failing to simplify fractions.
Ignoring brackets during calculations.
Practising with AEIS past year papers helps students avoid these errors.
How to Memorise AEIS Math Formulas
Instead of memorising everything in one sitting, use a structured revision plan.
Create your own formula notebook.
Write every important formula by topic.
Review formulas every day.
Solve five to ten questions using each formula.
Use flashcards for quick revision.
Complete one timed practice paper every week.
Teach formulas to a friend or family member.
Repeated application is far more effective than rote memorisation.
Final Thoughts
A strong understanding of mathematics formulas is essential for success in the AEIS Exam Singapore. While memorising formulas is important, students should also focus on understanding the concepts behind them and practising their application in different types of questions.
Regular revision, consistent practice, and exposure to AEIS past year papers will help students become familiar with common question patterns and improve their confidence. By mastering the formulas covered in this guide, international students can approach the AEIS Mathematics paper with greater accuracy, speed, and confidence.
For the best results, combine this formula sheet with regular practice using authentic AEIS Exam papers and timed mock examinations. With disciplined preparation and the right study strategy, achieving success in the AEIS Exam is an attainable goal.