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Explore Ratio, Proportion & Change

Learn about ratios, proportions, percentages, coordinates, and change. Choose a tutorial now, with matching interactive practice activities added over time.

% 2:3 1/2 = 2/4 ↑25%

Watch Ratio, Proportion & Change Tutorials

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Practice Ratio, Proportion & Change

Develop confidence with equivalent fractions and proportional reasoning through interactive practice.

Simple interest: twelve thousand dollars at six percent earns seven hundred twenty dollars in one year

Calculating Interest

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Use a calculator to find interest, principal, annual interest rates, and time. Includes occasional advanced savings questions.

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Increasing one hundred by twenty percent makes one hundred twenty

Percent Increase & Decrease

Find new amounts after percentage changes: no-calculator Foundation, then calculator-allowed Core and Challenge with rounding.

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Two thirds converts to a rounded decimal and percent using a calculator

Converting Fractions to Decimals & Percents — With a Calculator

Convert fractions to decimal numbers and percentages using a calculator. Practice difficult ratios, meaningful rounding and real-world quantities.

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Twenty five percent of one hundred sixty is forty

Calculating a Percent of an Amount

Calculate a percent of an amount, from familiar percentages to large and decimal amounts. Calculator recommended.

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One third of fifty-four is eighteen

Calculating a Fraction of an Amount

Calculate a fraction of a quantity without a calculator, including mixed numbers and simplifying fractions in Challenge.

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One fourth of an unknown whole equals eight

Finding the Whole from a Fraction and a Part

Find a whole from a known fraction and part with progressively harder fraction questions.

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Twenty five percent of an unknown whole equals thirty

Finding the Whole from a Percent and a Part

Find the total amount when a percent and the corresponding part are known, progressing from benchmark percents to harder decimal percents and larger values.

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Percent change from 20 to 29 shown as a 45 percent increase

Calculating Percent Change

Calculate percentage increase and decrease with separate No Calculator, Calculator, and Mixed practice across Foundation, Core, and Challenge.

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Diagram distance and real distance connected by a scale ratio

Calculate Real and Diagram Distances Using Scale

Calculate real or diagram distances from a scale, progressing from same-unit questions to unit conversions, maps, plans, and decimal scales.

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Clock and time-unit equivalences

Converting Units of Time

Convert seconds, minutes, hours, days, weeks, months, and years through direct, multi-step, mixed-unit, and exact decimal questions.

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Speedometer and road representing speed, distance, and time

Speed, Distance & Time

Practice finding speed, distance, or time with direct calculations, unit conversions, and multi-step problems.

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Percent converting to a decimal and fraction

Converting Percents to Decimals and Fractions

Convert percents to decimals and simplified fractions through three progressive difficulty modes.

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Decimal converting to a fraction and percent

Converting Decimals to Fractions and Percents

Convert decimals to simplified fractions and percents through three progressive difficulty modes.

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Fractions ordered from least to greatest

Ordering Fractions

Arrange fractions from least to greatest, progressing from controlled proper fractions to mixed, improper, and negative values.

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Fraction converting to decimal and percent

Converting Fractions to Decimals & Percents — Without a Calculator

Convert fractions to decimals, percents, or a balanced mix through three progressive difficulty modes.

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1824→34

Simplifying Fractions

Reduce proper and improper fractions completely using common factors in three progressive modes.

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More Ratio, Proportion & Change practice activities coming soon.