CASA Math Practice Questions Practice Exam

1. Number and Operations • Whole Numbers and Place Value o Understanding place value in the base-10 system (ones, tens, hundreds, etc.) o Rounding and estimating whole numbers o Comparing and ordering whole numbers • Addition, Subtraction, Multiplication, and Division o Performing operations with whole numbers o Understanding the relationship between operations o Word problems involving addition, subtraction, multiplication, and division • Fractions o Simplifying fractions and identifying equivalent fractions o Adding, subtracting, multiplying, and dividing fractions o Converting between improper fractions and mixed numbers o Word problems involving fractions • Decimals o Converting between fractions and decimals o Adding, subtracting, multiplying, and dividing decimals o Comparing and ordering decimals o Rounding decimals to a specified place value o Word problems involving decimals • Percents o Understanding the relationship between percentages, fractions, and decimals o Converting between percents, fractions, and decimals o Solving problems involving percentage increase, decrease, and discounts o Word problems involving percents (e.g., calculating discounts, tax, interest) 2. Algebraic Concepts • Basic Algebraic Expressions o Simplifying algebraic expressions (like terms, distributive property) o Evaluating algebraic expressions for given values o Understanding variables, constants, coefficients, and exponents o Word problems involving basic algebraic expressions • Solving Linear Equations o Solving one-step and two-step equations o Solving equations involving fractions or decimals o Word problems that require setting up and solving linear equations • Inequalities o Understanding and solving linear inequalities o Graphing solutions on a number line o Word problems involving inequalities (e.g., temperature ranges, budget constraints) • Patterns and Sequences o Identifying and continuing number patterns (arithmetic and geometric) o Writing expressions for sequences o Solving problems related to sequences and patterns 3. Measurement • Units of Measurement o Understanding and converting between different units of length, weight, capacity, and time (e.g., inches to centimeters, pounds to kilograms, gallons to liters) o Converting between units within the same system (e.g., metric system or customary system) o Estimating measurements in real-world contexts • Perimeter, Area, and Volume o Calculating perimeter and area of various shapes (squares, rectangles, triangles, circles) o Understanding and calculating volume of rectangular prisms and cylinders o Word problems involving perimeter, area, and volume • Time and Money o Converting between units of time (hours, minutes, seconds) o Solving problems involving time, such as elapsed time and time intervals o Word problems involving money (addition, subtraction, budgeting, etc.) 4. Geometry • Properties of Two-Dimensional Shapes o Identifying and classifying two-dimensional shapes (triangles, squares, rectangles, circles, etc.) o Understanding and calculating properties of shapes (angles, sides, symmetry) o Word problems involving geometric shapes (e.g., finding areas, perimeters) • Coordinate Geometry o Plotting points on the coordinate plane o Understanding and calculating distances between points on the coordinate plane o Identifying and interpreting simple geometric shapes (e.g., line segments, triangles) on the coordinate plane o Understanding the concept of slope and graphing linear equations • Three-Dimensional Shapes o Identifying and understanding properties of three-dimensional shapes (cubes, spheres, cones, cylinders, etc.) o Calculating surface area and volume of three-dimensional objects o Word problems involving three-dimensional objects 5. Data Analysis and Probability • Data Interpretation o Reading and interpreting data from various sources (tables, bar graphs, line graphs, pie charts, etc.) o Calculating measures of central tendency (mean, median, mode) o Understanding and calculating range and outliers o Solving word problems that involve data interpretation • Probability o Understanding basic probability concepts (e.g., likelihood of events, sample space) o Calculating probability of single events and compound events o Word problems involving probability (e.g., rolling dice, drawing cards) 6. Mathematical Reasoning and Word Problems • Problem-Solving Strategies o Applying logical reasoning and critical thinking to solve math problems o Breaking down complex problems into simpler steps o Using estimation and approximation to check the reasonableness of answers • Word Problems Involving Multiple Concepts o Solving word problems that require combining concepts from different math areas (e.g., algebra, geometry, measurement) o Translating real-world situations into mathematical equations or expressions o Setting up and solving multi-step word problems o Understanding the context of word problems and choosing the appropriate mathematical operations 7. Review of Mathematical Properties and Theorems • Properties of Operations o Commutative, associative, and distributive properties of addition and multiplication o Understanding the order of operations (PEMDAS/BODMAS) o Applying these properties in algebraic expressions and equations • Basic Theorems and Formulas o Applying basic geometric theorems (Pythagorean theorem, area and volume formulas) o Understanding formulas for perimeter, area, and volume of common geometric shapes o Utilizing algebraic properties and theorems to simplify expressions and solve equations 8. Test-Taking Strategies and Tips • Understanding the Test Format o Familiarizing yourself with the types of questions and test format (multiple choice, fill-in-the-blank, short answer) o Time management strategies for completing the test within the time limit o Strategies for eliminating incorrect answer choices in multiple-choice questions o Approaching questions that you don't know immediately (guessing strategies) • Practice and Review o Practicing problems from each content area regularly o Identifying areas where you need more practice and focusing on those areas o Reviewing key concepts and formulas frequently to keep them fresh in your memory