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CPS HSAT PRACTICE TEST 40 MATH WORD PROBLEMS Questions + Answers + Explanations + Math Formulas 2025 Volume 1
THIS IS A DOWNLOADABLE E-BOOK PDF. PURCHASE DOES NOT GRANT ACCESS TO THE ONLINE PRACTICE TESTS.
📘 Introduction: Your Guide to CPS HSAT Math Word Problems Success
Welcome to your CPS HSAT Math Word Problems Practice Test!
This practice test is specifically designed to challenge your ability to translate real-world scenarios into mathematical problems and solve them. Unlike traditional math problems that present equations directly, these questions require you to:
Read carefully: Identify key information, numbers, and the specific question being asked.
Discern relevant details: Filter out any extraneous information.
Choose the correct operation(s): Determine whether to add, subtract, multiply, divide, or apply formulas.
Formulate an equation or strategy: Set up the problem mathematically.
Solve and interpret: Find the numerical answer and ensure it makes sense in the context of the problem.
The problems vary in complexity, covering single-step calculations to multi-step situations that require combining several mathematical concepts. They aim to mimic the logical reasoning and problem-solving skills tested in the word problem sections of standardized exams like the CPS HSAT.
🎯 What’s Inside:
This set of 40 multiple-choice word problems is divided into 4 batches of 10 questions each. Each question presents a narrative scenario requiring mathematical computation.
Key Mathematical Concepts Covered (Integrated into Word Problems):
Arithmetic Operations:
Addition, Subtraction, Multiplication, Division of whole numbers, decimals, and fractions.
Examples: Calculating total sums, differences, products, or quotients in context (e.g., total students on a bus, change from a purchase, total items produced).
Percentages:
Calculating a percentage of a number (e.g., pages read, tip amount, commission).
Finding the original number given a percentage.
Calculating percentage increase or decrease (e.g., price markdowns, weight changes, population changes).
Fractions and Ratios:
Operations with fractions (addition, subtraction, multiplication, division).
Understanding and applying ratios and proportions (e.g., recipe scaling, map scales, student-to-sandwich ratios, blue-to-yellow paint ratios).
Geometry & Measurement (Contextualized):
Perimeter: Calculating the distance around rectangular shapes (e.g., fencing a garden, running around a playground).
Area: Calculating the surface area of rectangular or circular shapes (e.g., painting a wall, covering a pond, planting a field).
Volume: Calculating the capacity of 3D shapes like rectangular prisms (pools) and cylinders (tanks).
Unit Conversions: Converting between units of measure (e.g., liters to milliliters, hours to minutes, miles per gallon).
Basic Algebra (Applied in Context):
Setting up simple equations to represent problem scenarios (e.g., age problems, calculating an unknown value to reach a desired average).
Rates, Speed, and Distance:
Understanding the relationship between distance, speed, and time (e.g., bus travel, car travel, train catching up).
Averages:
Calculating the average of a set of numbers (e.g., average temperature, average cars sold, grades needed for a target average).
Probability:
Calculating simple probabilities from given data (e.g., drawing a specific color marble or not drawing one).
Financial Calculations:
Calculating total costs, discounts, tips, commission, earnings, and savings.
Note: Simple interest was not explicitly in this specific set of 50 word problems, but it's a common word problem type.
Problem-Solving Logic:
Questions often involve multiple steps and require careful sequencing of operations.
Situations where rounding up or down is necessary (e.g., buying full cans of paint, number of buses).
Each problem is presented as a narrative paragraph, followed by four multiple-choice options, an answer key, and a step-by-step explanation for how to solve it.
THIS IS A DOWNLOADABLE E-BOOK PDF. PURCHASE DOES NOT GRANT ACCESS TO THE ONLINE PRACTICE TESTS.
📘 Introduction: Your Guide to CPS HSAT Math Word Problems Success
Welcome to your CPS HSAT Math Word Problems Practice Test!
This practice test is specifically designed to challenge your ability to translate real-world scenarios into mathematical problems and solve them. Unlike traditional math problems that present equations directly, these questions require you to:
Read carefully: Identify key information, numbers, and the specific question being asked.
Discern relevant details: Filter out any extraneous information.
Choose the correct operation(s): Determine whether to add, subtract, multiply, divide, or apply formulas.
Formulate an equation or strategy: Set up the problem mathematically.
Solve and interpret: Find the numerical answer and ensure it makes sense in the context of the problem.
The problems vary in complexity, covering single-step calculations to multi-step situations that require combining several mathematical concepts. They aim to mimic the logical reasoning and problem-solving skills tested in the word problem sections of standardized exams like the CPS HSAT.
🎯 What’s Inside:
This set of 40 multiple-choice word problems is divided into 4 batches of 10 questions each. Each question presents a narrative scenario requiring mathematical computation.
Key Mathematical Concepts Covered (Integrated into Word Problems):
Arithmetic Operations:
Addition, Subtraction, Multiplication, Division of whole numbers, decimals, and fractions.
Examples: Calculating total sums, differences, products, or quotients in context (e.g., total students on a bus, change from a purchase, total items produced).
Percentages:
Calculating a percentage of a number (e.g., pages read, tip amount, commission).
Finding the original number given a percentage.
Calculating percentage increase or decrease (e.g., price markdowns, weight changes, population changes).
Fractions and Ratios:
Operations with fractions (addition, subtraction, multiplication, division).
Understanding and applying ratios and proportions (e.g., recipe scaling, map scales, student-to-sandwich ratios, blue-to-yellow paint ratios).
Geometry & Measurement (Contextualized):
Perimeter: Calculating the distance around rectangular shapes (e.g., fencing a garden, running around a playground).
Area: Calculating the surface area of rectangular or circular shapes (e.g., painting a wall, covering a pond, planting a field).
Volume: Calculating the capacity of 3D shapes like rectangular prisms (pools) and cylinders (tanks).
Unit Conversions: Converting between units of measure (e.g., liters to milliliters, hours to minutes, miles per gallon).
Basic Algebra (Applied in Context):
Setting up simple equations to represent problem scenarios (e.g., age problems, calculating an unknown value to reach a desired average).
Rates, Speed, and Distance:
Understanding the relationship between distance, speed, and time (e.g., bus travel, car travel, train catching up).
Averages:
Calculating the average of a set of numbers (e.g., average temperature, average cars sold, grades needed for a target average).
Probability:
Calculating simple probabilities from given data (e.g., drawing a specific color marble or not drawing one).
Financial Calculations:
Calculating total costs, discounts, tips, commission, earnings, and savings.
Note: Simple interest was not explicitly in this specific set of 50 word problems, but it's a common word problem type.
Problem-Solving Logic:
Questions often involve multiple steps and require careful sequencing of operations.
Situations where rounding up or down is necessary (e.g., buying full cans of paint, number of buses).
Each problem is presented as a narrative paragraph, followed by four multiple-choice options, an answer key, and a step-by-step explanation for how to solve it.