• English version: From Primary 3 to Form 5 students (Year 4 to Year 12 students)
• Chinese version: From Primary 3 to Form 4 students (Year 4 to Year 11 students)
In the primary years, there is a strong focus on testing numeracy skills. Problem solving is integrated throughout the tests and some of the more difficult items require complex reasoning skills.
In the secondary years, the skills required increase in complexity throughout the papers. Besides the skills required in the primary papers, students use higher-order thinking skills such as critical, analytical, quantitative and abstract thinking.
• Algebra and Patterns:
Recognise and continue number patterns; use symbols and pronumerals and eventually solve problems using algebraic techniques
• Chance and Data:
Represent, summarise and interpret data; assess likelihood and use probability in both experimental and theoretical situations
• Measures and Units:
Understand and use appropriate units of measurement, measure and compare quantities and apply measurement concepts
• Number and Arithmetic:
Operate with numbers and demonstrate number sense, work with natural numbers, integers, and later rational and real numbers; apply a range of strategies for computation and understand number properties
• Space and Geometry
Demonstrate an understanding of the properties of two-dimensional and three-dimensional objects; use geometrical concepts and reasoning.
For ICAS Mathematics the use of your own calculator is not allowed. The ICAS system provides an online calculator when required.
A variety of online interactions are used including multiple choice, free response, drag and drop, gap match, hot spot, and multiple choices question types.
• ICAS Mathematics assessments for primary school students challenge high achievers and reinforce key numeracy skills. The exams cover topics like arithmetic, patterns, measurement geometry , chance data, and pre-algebra, increasing in complexity to encourage higher-order thinking.
• ICAS Mathematics assessments for secondary school challenge high-achieving students and prepare them for advanced STEM subjects. The exams cover topics like number algebra, measurement, geometry, chance and data, encouraging higher-order thinking.
Primary 5 Mathematics Sample Question
Form 3 Mathematics Sample Question
Join ICAS 2025/2026 now!
Early Bird Discount Deadline: 31st December, 2025.
ICAS Registration Deadline: 15th February, 2026
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