
The Mathematics section of the AEIS Exam 2025 assesses a student’s ability to solve numerical and analytical problems. For Secondary 2 applicants, the exam consists of two parts: multiple-choice questions and a mix of short-answer and open-ended questions. In this section, students are required to demonstrate not only their problem-solving skills but also their ability to present their work clearly, especially for open-ended questions.

AEIS Mathematics Exam Format for Secondary 2
The Mathematics section for Secondary 2 applicants is divided into two parts:
Part 1: Multiple-Choice Questions (34 questions, 30 minutes)
- This part consists of 34 multiple-choice questions (MCQs). The focus is on testing students’ understanding of fundamental mathematical concepts such as numbers, arithmetic operations, algebra, and geometry.
- Each question has four possible answers, and students must choose the correct one. The questions will assess the student’s ability to quickly and accurately solve problems under time pressure.
Part 2: Short-Answer and Open-Ended Questions (20 short-answer questions + 10–15 open-ended questions, 1 hour 45 minutes)
- Short-Answer Questions (20 questions): These questions test students’ ability to solve problems and provide brief, direct answers. They cover a range of topics, from basic arithmetic operations to more advanced concepts like algebra and geometry.
- Open-Ended Questions (10–15 questions): These questions require students to show detailed working steps. Unlike short-answer questions, open-ended questions expect a more thorough explanation of how the student arrived at their answer. These questions often involve word problems or multi-step problems that require critical thinking and problem-solving strategies.
Topics Covered in AEIS Mathematics Exam 2025
The AEIS Mathematics Exam for Secondary 2 applicants includes several key mathematical topics. Students should expect questions that test their proficiency in the following areas:
1. Numbers and Operations
- Integer Operations: Addition, subtraction, multiplication, and division of integers.
- Fractions, Decimals, and Percentages: Conversion between fractions, decimals, and percentages, and solving problems involving these concepts.
- Ratio and Proportions: Understanding ratios, proportions, and solving related word problems.
2. Algebra
- Algebraic Expressions: Simplifying expressions, expanding and factorizing algebraic expressions.
- Linear Equations and Inequalities: Solving single-variable equations and inequalities, and representing solutions graphically.
- Sequences and Patterns: Identifying number sequences, arithmetic and geometric progressions, and solving related problems.
3. Geometry
- Angles and Lines: Understanding the properties of angles, parallel lines, and transversal lines.
- Shapes and Properties: Identifying properties of 2D shapes (triangles, quadrilaterals, circles) and solving problems involving area, perimeter, and circumference.
- 3D Geometry: Volume and surface area of 3D shapes, such as cubes, spheres, and pyramids.
4. Data Analysis
- Statistics: Mean, median, mode, range, and interpreting data sets.
- Probability: Basic probability calculations and solving problems related to probability.
- Graphs: Interpreting and constructing graphs, such as bar graphs, line graphs, and pie charts.
Problem Solving in AEIS Mathematics
AEIS Mathematics focuses on testing students’ ability to solve both straightforward and complex problems. In the open-ended questions, students are expected to show detailed working steps. This means that students need to:
- Clearly write each step: When solving a problem, write out every step in the process, no matter how small. This shows that you understand the method and helps you earn partial marks if the final answer is incorrect.
- Use proper mathematical notation: Be sure to use appropriate symbols and notation for operations, equations, and shapes.
- Explain reasoning: For multi-step or complex problems, students should briefly explain how they arrived at each step. This can be especially helpful when answering questions involving algebra or geometry.
Study Tips for AEIS Mathematics Exam 2025
- Master the Basics
Make sure you are comfortable with basic arithmetic and number operations. Understanding these fundamentals is crucial for solving more complex problems. - Practice Problem Solving
Regular practice is key to success in AEIS Mathematics. Use past papers, practice books, and online resources to work on a variety of problems from each topic. Focus particularly on word problems, as these are common in both short-answer and open-ended sections. - Time Management
The exam is time-limited, so practice solving problems within the given time frame. Focus on completing the multiple-choice questions quickly, and allocate enough time for the open-ended questions, where you need to show your working steps. - Review Mistakes
After completing practice questions, always go over your mistakes. Understanding why you got a question wrong will help you avoid similar errors in the future. - Seek Help if Needed
If you encounter any difficult topics or concepts, don’t hesitate to ask a teacher or tutor for clarification. Getting personalized help can make a significant difference in understanding complex topics like algebra and geometry. - Use Study Resources
There are many AEIS Mathematics preparation books and online resources available. These materials are designed specifically to help students prepare for the types of questions asked in the AEIS exam. Consider using resources from well-known publishers such as Marshall Cavendish or educational platforms like KooBits.
Final Thoughts
To succeed in the AEIS Exam 2025 Mathematics section, Secondary 2 applicants must develop strong problem-solving abilities and a deep understanding of mathematical concepts. With focused preparation, regular practice, and time management, students can confidently tackle the exam’s multiple-choice, short-answer, and open-ended questions.
Mathematics in AEIS is not only about finding the correct answers but also demonstrating a clear thought process. By mastering the key topics and practicing problem-solving techniques, students can perform well and increase their chances of admission to Singapore’s competitive educational system.