HSPT Quantitative

A comprehensive exploration of quantitative reasoning skills tested on the HSPT, including problem-solving, number concepts, and data analysis.
Basic Concepts

Number Concepts

Understanding Numbers

Numbers are the building blocks of all math! You’ll work with whole numbers, fractions, decimals, and even negative numbers. Knowing how they relate to each other is crucial for success on the HSPT Quantitative section.

Types of Numbers

  • Whole Numbers: 0, 1, 2, 3, ...
  • Integers: ..., -2, -1, 0, 1, 2, ...
  • Fractions: Parts of a whole, like \( \frac{3}{4} \)
  • Decimals: Another way to show parts of a whole, like 0.75
  • Negative Numbers: Less than zero, like -5

Comparing and Ordering Numbers

You’ll often need to decide which number is bigger or smaller, and put numbers in order from least to greatest.

Real-World Connection

From keeping score in a game to comparing prices while shopping, number concepts are everywhere!

Examples

  • Ordering the numbers 3, -2, 1, and 0 from least to greatest gives: -2, 0, 1, 3.

  • Converting 0.5 to a fraction: 0.5 is the same as \( \frac{1}{2} \).

In a Nutshell

Mastering numbers helps you quickly solve all kinds of math problems.

Key Terms

Integer
A number with no fractional part; can be positive, negative, or zero.
Decimal
A number that uses a decimal point to show a part of a whole.