

Math Contests for Elementary School Students
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Math KangarooMath Kangaroo is an international math competition that aims to make mathematics enjoyable for young students. The contest features multiple-choice questions of varying difficulty levels, designed to challenge students’ reasoning and problem-solving skills. Participants have a set amount of time to answer the questions, and the competition is held annually.
Age/Grade Range
Grades 1 to 12
Number of Questions
Grades 1 to 4: 24 questions (96 points)
Grades 5 & higher: 30 questions (120 points)
Grades 5 & higher: 30 questions (120 points)
Question Types
Multiple Choice
Time Limit
75 minutes
Calculator Allowed
No
Topics Covered
Number Sense, Algebra, Geometry, Combinatorics and Probability, Logic and Problem-Solving:
2
MOEMS (Mathematical Olympiads for Elementary and Middle Schools)MOEMS is a series of contests aimed at stimulating interest in mathematics and developing problem-solving skills among elementary and middle school students. The competition consists of five contests, each with five challenging problems that require creative and critical thinking.
Age/Grade Range
Grades 4 to 8
Number of Questions
25 questions
Question Types
Multiple-choice and short-answer formats.
Time Limit
30 minutes
Calculator Allowed
No
Topics Covered
Arithmetic, Number Theory, Geometry, Algebra, Combinatorics, Logic and Reasoning:

Math Contests for Middle School Students
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MathcountsMathcounts is a popular math competition specifically designed for middle school students. The contest includes multiple rounds: the Sprint Round (focused on speed and accuracy), the Target Round (emphasizing problem-solving under time constraints), the Team Round (requiring collaboration), and the Countdown Round (a fast-paced oral competition).
Age/Grade Range
Grades 6 to 8
Number of Questions
Sprint: 30, Target round: 8, Team Round: 10, Countdown Round: Oral competition
Question Types
Sprint: Short, Target round: Complex, multi-step problems , Team Round: Challenging problems that may require collaboration , Countdown Round: Quick, mental math problems.
Time Limit
Sprint: 40 minutes, Target round: 24 minutes , Team Round: 20 minutes , Countdown Round: 45 seconds per question.
Calculator Allowed
Sprint: Not allowed, Target round: Calculators allowed, Team Round: Allowed, Countdown Round: Not allowed
Topics Covered
Arithmetic, Number Theory, Geometry, Algebra, Combinatorics, Logic and Reasoning:
2
AMC 8 (American Mathematics Competitions)The AMC 8 is the first in a series of competitions that eventually lead to higher-level contests like the AIME (American Invitational Mathematics Examination) and the USAJMO (United States of America Junior Mathematical Olympiad). AMC 8 is specifically designed for middle school students and tests their understanding of middle school mathematics concepts.
To know more check the detailed article Demystifying the AMC 8 Test: A Comprehensive Guide
Age/Grade Range
8th grade or lower
14.5 years old or younger
14.5 years old or younger
Number of Questions
25 question
Question Types
Multiple Choice
Time Limit
40 minutes
Calculator Allowed
No
Topics Covered
Algebra, Arithmetic, Counting, Geometry, Logic, Number Theory, Probability
3
USAMTS (USA Mathematical Talent Search)The USAMTS is a unique math competition that allows students to work on challenging problems over an extended period. Unlike timed contests, USAMTS emphasizes deep understanding and requires students to submit well-explained solutions to a series of complex problems.
Age/Grade Range
Grades 6 to 12
Number of Questions
The current format includes three problem sets, each containing five problems, with each set spanning approximately one month
Question Types
Proof and research based
Time Limit
Usually a month to solve the problems
Calculator Allowed
Students may use any materials—books, calculators, computers—but all the work must be their own.
Topics Covered
Covers all non-calculus topics
4
MOEMS (Mathematical Olympiads for Elementary and Middle Schools)MOEMS is a series of contests aimed at stimulating interest in mathematics and developing problem-solving skills among elementary and middle school students. The competition consists of five contests, each with five challenging problems that require creative and critical thinking.
Age/Grade Range
Grades 4 to 8
Number of Questions
25 questions
Question Types
Multiple-choice and short-answer formats.
Time Limit
30 minutes
Calculator Allowed
No
Topics Covered
Arithmetic, Number Theory, Geometry, Algebra, Combinatorics, Logic and Reasoning:
5
Math KangarooMath Kangaroo is an international math competition that aims to make mathematics enjoyable for young students. The contest features multiple-choice questions of varying difficulty levels, designed to challenge students’ reasoning and problem-solving skills. Participants have a set amount of time to answer the questions, and the competition is held annually.
Age/Grade Range
Grades 1 to 12
Number of Questions
Grades 1 to 4: 24 questions (96 points)
Grades 5 & higher: 30 questions (120 points)
Grades 5 & higher: 30 questions (120 points)
Question Types
Multiple Choice
Time Limit
75 minutes
Calculator Allowed
No
Topics Covered
Number Sense, Algebra, Geometry, Combinatorics and Probability, Logic and Problem-Solving:
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