ICAS Mathematics
(Chinese & English versions)

Subject Guide

Participants

•  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)

Content Strands

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.

Key Learning Areas

• 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.

2025 ICAS Mathematics Framework

Question Types

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.

Highlight

•  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.

Experience our internationally recognized test today

Sample Questions

Primary 5 Mathematics Sample Question

Form 3 Mathematics Sample Question

For more sample questions, please click the button below.

2025 ICAS Assessments Structure - Mathematics

Teachers and parents’ evaluation

“Mathematics is not only a formula and an answer, but also a process of thinking. ICAS Mathematics challenges student to use higher order thinking skills.”
Primary School Mathematics Subject Panel Head
“Mathematics is part of our life, and ICAS Mathematics can be applied to everyday life. Students can handle this type of assessment easier.”
Secondary School Mathematics Teacher
“My children participate in ICAS Mathematics to challenge themselves each year. The questions are from easy to difficult, so my children have motivation to finish the whole assessment.”
Primary School Parent

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