SSAT Upper Level Quantitative (Math)

This subject focuses on the quantitative reasoning and mathematical skills required for the SSAT Upper Level exam.

Arithmetic and Number PropertiesFractions, Decimals, and PercentsRatios, Proportions, and Rates
Algebraic Expressions and EquationsGeometry: Shapes, Area, and PerimeterData Analysis and Probability
Budgeting and Money MathCooking and RecipesTravel Planning and Maps
Smart Guessing and EliminationTime Management and Pacing
Arithmetic and Numbe...Fractions, Decimals,...Ratios, Proportions,...Algebraic Expression...Geometry: Shapes, Ar...Data Analysis and Pr...Budgeting and Money ...Cooking and RecipesTravel Planning and ...Smart Guessing and E...Time Management and ...
Basic Concepts

Arithmetic and Number Properties

Working with Numbers

Arithmetic is the foundation of all math. It covers addition, subtraction, multiplication, and division, as well as how numbers interact—think even/odd, positive/negative, and factors and multiples.

What Are Number Properties?

Number properties help us understand how numbers behave:

  • Commutative Property: The order doesn't matter in addition or multiplication.
  • Associative Property: The grouping doesn’t change the result.
  • Distributive Property: Multiplying a sum by a number is the same as multiplying each addend separately and then adding.

Tips for SSAT Problems

  • Always check if you can simplify before solving.
  • Remember rules for operations with negative numbers.

Real-World Connection

You use arithmetic every day! From counting change at a store to splitting a pizza evenly among friends, these skills matter.

Practice Makes Perfect

Use mental math tricks like breaking apart numbers or rounding to estimate quickly.

Examples

  • Adding \( 27 + 35 = 62 \), or multiplying \( 6 \times 8 = 48 \).

  • If you buy 3 packs of gum at $2 each, you spend \( 3 \times 2 = $6 \).

In a Nutshell

Arithmetic covers basic operations and the rules that govern how numbers work together.

Key Terms

Commutative Property
Changing the order of numbers in addition or multiplication does not affect the result.
Distributive Property
Multiplying a sum by a number equals multiplying each term separately and then adding.
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Fractions, Decimals, and Percents