Description

NEW! THE 7 SECOND SOLUTION: FAST MENTAL MATH FOR NUMBER SENSE—NUMBER THEORY (pre-order)

Build faster, stronger UIL Number Sense and mental math skills!

The 7 Second Solution: Fast Mental Math for Number Sense—Number Theory by Jennifer Dziura is the first volume in The 7 Second Solution series and focuses specifically on number theory, an integral part of the UIL Number Sense contest. While this volume does not cover every topic tested in Number Sense, it provides focused instruction in essential concepts and strategies students will use throughout the contest. This will be an 8.5" × 11" book, either comb-bound or perfect-bound, shipping from Hexco in January 2027!

IDEAL FOR: UIL Number Sense competitors, middle school and high school competitive math students, independent study, classroom and team instruction, and students seeking faster, more efficient mental-math strategies.

COUNT ON THIS (What's Inside)

Prime numbers and mental prime trees
Prime and distinct prime factors
Factoring out primes
Strategies for memorizing and recognizing important prime numbers
GCD and LCM using prime factors
Arithmetic involving prime numbers
Exponents and roots
Factorials and prime factors
Divisibility rules and divisibility strategies
Relatively prime numbers
Remainder problems
Odd and even number strategies
Non-decimal and “weird-base” number systems
Efficient mental-math techniques for Number Sense competition

BUILD STRONGER UIL NUMBER SENSE SKILLS

Students learn to recognize number patterns, simplify calculations, and apply efficient mental-math strategies to solve problems more quickly and accurately. Rather than attempting to cover the entire UIL Number Sense contest in one book, this first volume concentrates on number theory so students can build a strong foundation in one of the contest’s essential areas before progressing to additional Number Sense concepts in the series.

Bonus content introduces memory techniques based in neuroscience to help students strengthen working memory, improve recall, and manage the mental calculations required in competitive mathematics. Number Theory is an important first step in The 7 Second Solution series and a valuable resource for UIL Number Sense preparation.

ABOUT THE AUTHOR | JENNIFER DZIURA

Jennifer Dziura is an educator, curriculum developer, and author with extensive experience in mathematics, verbal reasoning, vocabulary, and standardized test preparation. A graduate of Dartmouth College, where she studied philosophy, Dziura later earned a master’s degree in education, with academic work focused on learning, memory, and effective instructional techniques.

She has taught and tutored more than 2,000 students and has written or contributed to numerous educational and test-preparation books covering the SAT, GRE, GMAT, SHSAT, logic, mathematics, and vocabulary. Her published work includes Foundations of GMAT Verbal and Manhattan Prep’s 500 Essential Words and 500 Advanced Words GRE vocabulary flashcards.

Dziura has also written Hexco’s Math Practice Packets and The Secrets & Science of Persuasion, bringing her experience in UIL academic competition, mathematics instruction, critical thinking, and effective communication to a wide range of student resources.

She brings her background in education, cognitive learning strategies, competitive test preparation, and academic publishing to The 7 Second Solution series, helping students understand not only how to solve problems correctly, but how to recognize patterns, calculate mentally, and solve problems more efficiently.