SSAT Middle Level Quantitative

A comprehensive introduction to quantitative reasoning and math problem-solving for middle school students preparing for the SSAT.

Basic Concepts

Number Operations and Properties

Understanding Numbers

Numbers are the foundation of all math! You'll work with whole numbers, decimals, fractions, and even negative numbers. It's important to know how to add, subtract, multiply, and divide these different kinds of numbers confidently.

Order of Operations

To solve expressions correctly, use the order of operations: Parentheses, Exponents, Multiplication & Division (left to right), Addition & Subtraction (left to right)—often remembered as PEMDAS.

Properties of Numbers

Numbers have special properties that can help you simplify problems. For example:

  • Commutative Property: Changing the order doesn't change the answer (\( a + b = b + a \)).
  • Associative Property: Grouping doesn't change the answer (\( (a + b) + c = a + (b + c) \)).
  • Distributive Property: Multiply a number by a sum (\( a(b + c) = ab + ac \)).

Why It Matters

Mastering these basics helps you solve more complex problems and understand patterns in math and real-life situations!

Key Formula

\[a(b + c) = ab + ac\]

Examples

  • Calculate \( 3 \times (4 + 5) \) using the distributive property.

  • Add \( 2/5 + 3/5 \) and explain why the denominators stay the same.

In a Nutshell

Learn how numbers work and how to use their properties to solve problems quickly and accurately.

Key Terms

Commutative
A property where the order of numbers does not affect the result.
PEMDAS
An acronym to remember the order of operations.