HSPT Math Unit 1 2025/2026 | 50+ Solved Questions | Algebra, Fractions, Geometry, Percentages

This document presents Unit 1 of a structured HSPT Math practice series tailored for the 2025/2026 High School Placement Test (HSPT). It contains over 50 fully solved multiple-choice and short-answer questions that focus on real exam-level content with detailed and accurate answers. Topics covered include: Algebraic expressions and simplification Solving linear equations and inequalities Scientific notation, fractions, decimals, and percent conversions Geometry basics: area, perimeter, volume, angles, and triangle properties Real-world math: speed/time problems, discount and tax, comparisons Students will gain exposure to a mix of computational problems, conceptual reasoning, and word problems, making this unit a practical tool for test readiness. Every answer follows the relevant mathematical rule or formula, giving students a deeper understanding of the process, not just the outcome. This resource is especially useful for: 8th-grade students preparing for Catholic or private high school entrance exams Tutors and math teachers building lesson plans around HSPT objectives Students who need extra review in applied math, algebra, and quantitative reasoning Learners seeking a focused set of questions for timed practice and accuracy improvement Keywords: HSPT math unit, algebra practice, fractions and decimals, percent problems, geometry questions, math word problems, scientific notation, entrance exam math, standardized test practice, high school admission, equations and expressions, perimeter and volume, slope and graphing