ISEE Upper Level Mathematics Achievement

ISEE Upper Level Mathematics Achievement focuses on advanced mathematical concepts and problem-solving skills necessary for success in the ISEE exam.

Basic Concepts

Fractions, Decimals, and Percents

Three Ways to Show Parts of a Whole

Fractions, decimals, and percents are different ways to describe the same thing: pieces of a whole.

Converting Between Forms

  • Fraction to Decimal: Divide the numerator by the denominator (\( \frac{1}{4} = 0.25 \)).
  • Decimal to Percent: Multiply by 100 (\( 0.25 \times 100 = 25% \)).
  • Percent to Fraction: Write the percent over 100 and simplify (\( 25% = \frac{25}{100} = \frac{1}{4} \)).

Operations

Add, subtract, multiply, and divide fractions and decimals by finding common denominators or aligning decimal points.

Real-World Connection

Understanding these forms helps you read recipes, calculate discounts, and interpret statistics.

Examples

  • A 30% off sale on a $50 item saves you $15.

  • If you eat 0.75 of a chocolate bar, that’s the same as \( \frac{3}{4} \) or 75%.

In a Nutshell

Master changing between fractions, decimals, and percents for flexible problem-solving.