Mathematics Competitions

Summary

At the 2025 DataFest, students analyzed nearly 200,000 office lease records to predict whether tech companies would relocate or renew their leases. They tested three statistical models and found office size, year, and space type were key factors in these decisions.

Team

1. Deepshika Karki
2. Noah Lynch
3. Abhishek Shrestha
4. Krishna Thakar

Faculty Mentors

1. Emmanuel Thompson
2. Mohamed Abu-Sheha

Award:  Best Use of Statistical Analysis

Team

1. Moe Toyoda
2. Gwen Squires
3. Samuel Shevlin
4. Thao Pham

Faculty Mentors

1. Emmanuel Thompson
2. Mohamed Abu-Sheha

Award:  Best Use of Statistical Analysis

Team

1. Moe Toyoda
2. Jacob Beaird

Faculty Mentor

1. Yi-Ching Lee

Award:  Best in Show

Open Events 

Algebra 

Linear and quadratic equations. Systems of linear equations. Algebraic
simplification. Exponents and radicals. Functions and their graphs. Word
problems. Absolute value. Inequalities. Rational roots of a polynomial.
Remainder theorem. Binomial theorem. Complex numbers.

Geometry

Problems with numerical answers involving similar and congruent
figures. Questions based on a sophomore plane geometry course.

Trigonometry

Trigonometric and inverse trigonometric functions. Values of
trigonometric functions. Graphs. Solution of triangles. Trigonometric
equations. Identities. De Moivre's Theorem.

Mental Arithmetic

Problems employing basic operations of arithmetic will be presented by
use of flash cards. The only writing done by students will be to write
answers.

Computational Mathematics

Percentage. Addition, multiplication, and division of fractions.
Operations involving complex fractions. Square roots and decimal
numbers.

Elementary Data Analysis

Measures of central tendency, variability and correlation, data
transformations, best-line fit, graphical summaries.

Sets and Logic

Basic operations with sets-unions, intersection, complement. Venn
diagrams. Number of elements in a finite set. Truth value of
conjunction, disjunction and conditional statement forms. Truth tables
for compound sentences. Equivalence.

Number Theory

Number types and number patterns. Prime numbers and the
Fundamental Theorem of Arithmetic. Greatest common divisor and
least common multiple. Euclidean algorithm.

Probability

Combinations and permutations. Probability of complements, union,
and intersection of events. Independent events. Mutually exclusive
events. Conditional probability. Expected value.

Hand Calculators

Problems employing basic operations of arithmetic. Consumer
arithmetic. Measurement problems.

Non-Routine Problem Solving

Level I (9th & 10th Grades)

Interesting problems requiring ingenuity rather than high mathematical
skills to solve. Arithmetic, basic algebra, knowledge of intuitive
geometry, and number sense are used.

Level II (11th & 12th Grades)

Intriguing problems requiring ingenuity, logic, number theory, basic
algebra, geometrical relations to solve rather than depending on highly
developed technical skill in a branch of mathematics.

Class Specific Events

Algebra I 

Algebraic simplification. Radicals. Factoring. Linear and quadratic
equations. Linear inequalities. Word problems.

Algebra II

System of equations. Linear and quadratic equations and inequalities.
Functions and their graphs. Rational roots of a polynomial. Binomial
theorem.

Geometry

Problems with numerical answers involving similar and congruent
figures. Length, area and volume. Angles in circles. Pythagorean
Theorem. Questions based on a sophomore plane geometry course.

Ninth Grade Events

Word Problems

Problems that can be solved by a linear equation or a linear inequality.
Types found in most traditional Algebra I books.

Number Bases

Computations in bases other than 10. Change from one base to another.

Eleventh Grade Events

Word Problems

Problems that can be solved by a linear equation (inequality), quadratic
equation (inequality), or by a system of equations.

Exponential and Log Functions

Logarithmic and exponential functions. Graphs. Using logarithms to
solve exponential equations. Logarithms used in computation.

Twelfth Grade Events

Matrices and Determinants

Properties of matrices and determinants. Computation and applications.

Analytic Geometry

Lines and conic sections. Distances. Curve sketching using intercepts,
symmetry, and asymptotes. Graphs. Coordinate geometry.

Calculus

Derivatives and integrals of algebraic functions with applications.

Team Events

Algebra I

Same topics as on the Class-Specific Algebra I test.

Algebra II

Same topics as on the Class-Specific Algebra II test plus questions on
absolute value, arithmetic and geometric sequences, logarithmic and
exponential functions, and word problems.

Geometry

Same topics as on the Class-Specific Geometry test. Questions based on
a sophomore plane geometry course.

Trigonometry

Same topics as on the Open Trigonometry test.

Medley

Algebra I. Algebra II. Geometry. Senior level mathematics.

Sigma Award

This award is designed to recognize two schools as the all-around winner in their division. A trophy will
be given to both a large school and a small school. To determine the winner, points will be awarded to
those individuals and teams earning first, second, and third places for each event. The points will be
awarded as follows:

• Each team event will earn 16 points for 1st place, 10 points for 2nd place, and 6 points for 3rd place.
• The individual events will earn 8 points for 1st place, 5 points for 2nd place, and 3 points for 3rd place.