Free Practice Questions for ICAS Mathematics
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Key Facts: ICAS Mathematics Exam
Years 2-12 (Australia)
Australian year levels; mappings vary by country
ICAS Assessments Mathematics
5 strands
Full framework strands; exact coverage and depth vary by paper
ICAS Mathematics Assessment Framework
Online
Multiple-choice and written questions under supervision
ICAS Assessments Mathematics
No own calculator
An on-screen calculator is provided when a question needs one
ICAS Assessments Mathematics
No pass mark
Results use percentiles and levels up to High Distinction
ICAS FAQs for parents
Janison
Owns and operates the ICAS Assessments platform
ICAS Assessments
120
Original practice questions in this bank
OpenExamPrep
ICAS Mathematics is an annual supervised online competition using multiple-choice and written questions. Introductory has 30 questions in 35 minutes; Papers A–C have 40 in 45 minutes; Papers D–J have 40 in 60 minutes. Country-specific paper mappings vary, and there is no pass mark.
Sample ICAS Mathematics Practice Questions
Try these sample questions to review concepts for the ICAS Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 120+ question experience with AI tutoring.
1A baker packs 156 muffins into boxes that each hold 12 muffins. How many full boxes can the baker make, and how many muffins are left over?
2What is the value of the digit 7 in the number 473 286?
3Which of these calculations gives the largest answer?
4A shop sells pencils at 3 for $1.20. At the same rate, how much do 8 pencils cost?
5What is 3/4 of 60?
6A jacket originally priced at $80 is reduced by 25% in a sale. What is the sale price?
7Which fraction is equivalent to 0.375?
8What is the value of 2 to the power of 5 (2^5)?
9Which of the following is a prime number?
10Using the order of operations, what is the value of 6 + 4 x (10 - 7)?
About the ICAS Mathematics Exam
ICAS Mathematics is Janison's annual international school mathematics competition. In Australia it is offered for Years 2–12; paper mappings and availability differ in other countries. The supervised online assessment uses multiple-choice and written questions across five skill areas. This question bank is an original practice set, not a released ICAS paper.
Exam sponsor: Janison Solutions Pty Limited (ICAS Assessments). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.
Assessment
ICAS Mathematics is a family of 11 supervised online papers (Intro and A–J), not one universal test. Paper-to-year mapping varies by country, and each paper has its own framework coverage; for example, Intro does not assess the formal Algebra or Space and Geometry strands.
Time Limit
35 minutes for Introductory; 45 minutes for Papers A–C; 60 minutes for Papers D–J
Passing Score
No fixed pass mark. Students receive a percentile and a result level (Participation, Merit, Credit, Distinction or High Distinction), with Medals for top performers.
Exam / Certification Fees
Current 2026 Australian entry fees start at AUD 21.95 per subject; confirm the country- and school-specific price.
Exam sponsor websiteFees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.
Our practice resources: topics covered
We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.
Number and Arithmetic
Problems on place value, the four operations, fractions, decimals, percentages, ratio, factors, primes, indices, integers and multi-step money and rate calculations.
Algebra and Patterns
Number and shape patterns, sequences, function rules, missing numbers, simplifying and expanding expressions, substitution and solving linear equations.
Measures and Units
Length, perimeter, area, volume, surface area, mass, capacity, time, elapsed time, speed, rates and map scale, including unit conversions and composite shapes.
Space and Geometry
Angles, triangles and polygons, parallel and perpendicular lines, symmetry, nets, transformations, coordinate geometry and Pythagoras' theorem.
Chance and Data
Reading and comparing graphs and tables, mean, median, mode and range, single and compound probability, complementary events and expected frequency.
Preparing for the ICAS Mathematics Exam
What You Need to Know
- Passing score: No fixed pass mark. Students receive a percentile and a result level (Participation, Merit, Credit, Distinction or High Distinction), with Medals for top performers.
- Assessment: ICAS Mathematics is a family of 11 supervised online papers (Intro and A–J), not one universal test. Paper-to-year mapping varies by country, and each paper has its own framework coverage; for example, Intro does not assess the formal Algebra or Space and Geometry strands.
- Time limit: 35 minutes for Introductory; 45 minutes for Papers A–C; 60 minutes for Papers D–J
- Exam / certification fees: Current 2026 Australian entry fees start at AUD 21.95 per subject; confirm the country- and school-specific price. Official sources
Using Our Practice Resources
- Work through all 120 available questions
- Review every answer and explanation
- Track weak areas and revisit them
- Use our AI tutor for tough concepts
ICAS Mathematics: Suggested Study Strategy
Frequently Asked Questions
Who sits ICAS Mathematics?
ICAS Mathematics is an international school competition. In Australia it is offered for Years 2–12, while other countries use different year labels and may not offer every paper. Students should use the current country-to-paper table rather than assume the Australian mapping applies everywhere.
What does ICAS Mathematics assess?
The full ICAS Mathematics framework spans Number and Arithmetic, Algebra and Patterns, Measures and Units, Space and Geometry, and Chance and Data. Individual papers assess different subsets and levels; Intro, for example, does not include formal Algebra or Space and Geometry.
Is ICAS Mathematics all multiple-choice?
No. Janison's current product description says ICAS assessments include multiple-choice and written questions. The assessment is delivered online under supervision; do not assume unsupported interaction types beyond the current official description.
Is there a pass mark for ICAS Mathematics?
No. ICAS Mathematics has no fixed pass mark. Each student receives a percentile and a result level such as Participation, Merit, Credit, Distinction or High Distinction, and top performers can receive a Medal.
Can students use a calculator in ICAS Mathematics?
Students may not use their own calculator. The online ICAS system provides an on-screen calculator when a question requires one, so practice should build mental and written calculation skills.
Are these official ICAS questions?
No. These are original practice questions written to cover topics from the ICAS Mathematics framework strands and format. They do not copy released ICAS papers or official sample items.