100+ Free ICAS Mathematics Practice Questions
Pass your ICAS Mathematics (International Competitions and Assessments for Schools) exam on the first try — instant access, no signup required.
How many lines of symmetry does a regular hexagon have?
Explore More ICAS International School Assessments
Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.
Key Facts: ICAS Mathematics Exam
Years 2-12
Year levels covered by ICAS Mathematics papers
ICAS Assessments Mathematics
5 strands
Number, Algebra and Patterns, Measures, Space and Geometry, Chance and Data
ICAS Mathematics Assessment Framework
All multiple-choice
ICAS Mathematics uses selected-response online items
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
100
Original practice questions in this bank
OpenExamPrep
ICAS Mathematics is an international, all multiple-choice competition for Years 2-12 that rewards higher-order problem-solving across five strands. There is no fixed pass mark; results use percentiles and levels from Participation to High Distinction. This bank provides 100 original practice questions spanning Years 3-10 difficulty in number, algebra, measurement, geometry and statistics.
Sample ICAS Mathematics Practice Questions
Try these sample questions to test your ICAS Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ 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 an international school competition run by Janison through ICAS Assessments for students from the equivalent of Year 2 to Year 12. It assesses higher-order mathematical thinking and problem-solving rather than rote recall, using papers that increase in difficulty and an online multiple-choice format. The assessment covers five strands: Number and Arithmetic, Algebra and Patterns, Measures and Units, Space and Geometry, and Chance and Data. This question bank is not a released ICAS test; it is an original practice set written to build familiarity with the kinds of multi-step, real-world problems ICAS Mathematics presents across Years 3-10.
Assessment
This practice bank contains 100 original multiple-choice questions. Official ICAS Mathematics papers (Introductory and Papers A-J) assess five strands - Number and Arithmetic, Algebra and Patterns, Measures and Units, Space and Geometry, and Chance and Data - with questions increasing in difficulty through each paper.
Time Limit
Official ICAS Mathematics papers are typically allowed 30-60 minutes by year level, with most papers allotted 45 minutes.
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 Fee
ICAS entry fees are set per subject by region and school; in Australia ICAS Mathematics is typically priced in the AUD 15-20 range, varying by country and currency. (Janison Solutions Pty Limited (ICAS Assessments; formerly UNSW Global))
ICAS Mathematics Exam Content Outline
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.
How to Pass 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: This practice bank contains 100 original multiple-choice questions. Official ICAS Mathematics papers (Introductory and Papers A-J) assess five strands - Number and Arithmetic, Algebra and Patterns, Measures and Units, Space and Geometry, and Chance and Data - with questions increasing in difficulty through each paper.
- Time limit: Official ICAS Mathematics papers are typically allowed 30-60 minutes by year level, with most papers allotted 45 minutes.
- Exam fee: ICAS entry fees are set per subject by region and school; in Australia ICAS Mathematics is typically priced in the AUD 15-20 range, varying by country and currency.
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
ICAS Mathematics Study Tips from Top Performers
Frequently Asked Questions
Who sits ICAS Mathematics?
ICAS Mathematics is an international competition for school students from the equivalent of Year 2 to Year 12. Students enter through participating schools, and papers are matched to year levels from the Introductory paper up to Paper J.
What does ICAS Mathematics assess?
ICAS Mathematics assesses higher-order mathematical thinking and problem-solving across five strands: Number and Arithmetic, Algebra and Patterns, Measures and Units, Space and Geometry, and Chance and Data. Questions increase in difficulty through each paper.
Is ICAS Mathematics all multiple-choice?
ICAS Mathematics uses selected-response items, primarily multiple-choice, delivered online. The platform may also use other digital interactions, but every item has a single best answer, so practising multiple-choice problem-solving is good preparation.
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 align with the ICAS Mathematics framework strands and format. They do not copy released ICAS papers or official sample items.