RANGER GAMEZ

Math practice · Fractions, decimals and percents · ages 10+

Free percents and ratios practice

The Pet Shop world in Ranger's Math Trail is everyday math: percent of a number, sale prices after a discount, what percent one number is of another, ratios, unit rates and solving proportions.

The word problems use pet-shop prices in dollars and cents, and every answer shows the shortcut as well as the long way.

Practice percents and ratios now

Pick a level

Percent of a numberLevel 1 · ages 10+Sale pricesLevel 2 · ages 11+What percent?Level 3 · ages 12+RatiosLevel 4 · ages 11+Unit ratesLevel 5 · ages 12+ProportionsLevel 6 · ages 13+

Free, no sign-up. The game asks your age once, then every answer comes with a hint and a step-by-step Show me how.

How to do it

Percent means out of 100: 25% of 80 = 80 × 25 ÷ 100 = 20.
Sale price: find the discount, then take it off. Or multiply by the percent you still pay.
Part ÷ whole × 100 tells you what percent the part is.
For rates, find the cost of one first (the unit rate). For a proportion like 3/4 = x/20, cross-multiply.

Worked examples

Example 1A leash costs $48.00. It is 30% off. What is the sale price?

Find the discount: 30% of $48.00 = $48.00 × 30 ÷ 100 = $14.40.
Subtract it: $48.00 − $14.40 = $33.60.
Shortcut: you pay 70%, and 70% of $48.00 = $33.60.

Answer: $33.60

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Example 2Solve the proportion: 7/2 = 42/x

Cross-multiply: 7x = 2 × 42 = 84.
Divide both sides by 7: x = 84 ÷ 7 = 12.
Check: 7/2 and 42/12 are the same amount (×6 top and bottom). ✔

Answer: x = 12

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Mistakes to watch for

10% just moves the decimal point one place left. Use it to find 5%, 20% or 30% quickly.
A ratio of 2 : 3 means 2 parts to 3 parts, so 5 parts in all.

The game

NEW New: Ranger's Math Trail $Ranger's Math Trail gameplay$

Ranger's Math Trail

Math: quick facts to algebra and geometry

Math from quick facts to algebra and geometry, with every step shown. It sets itself up for your age.

Questions

Do I type the % or $ sign?

No need. The game reads 20 as 20%, and 12.50 as $12.50.

What age is it for?

Percents start around age 10 or 11, ratios and rates around 11 or 12 (grades 6 and 7).

More math practice: Addition · Subtraction · Multiplication facts · Division and long division · Place value and rounding · Fractions · Decimals · Negative numbers · Order of operations · Exponents and square roots · Solving equations · Slope and linear equations · Systems of equations · Factoring quadratics · Area, perimeter and volume · Angles · Pythagorean theorem · Circles · Mean, median, mode and range · All math topics