RANGER Math practice · Pre-algebra · ages 11+
Free exponents and square roots practice
An exponent says how many times to multiply a number by itself: 5³ = 5 × 5 × 5 = 125. A square root goes backwards: √49 asks which number times itself makes 49.
Ranger's Math Trail starts with squares to 10², then cubes and higher powers, mixed with square roots of perfect squares up to 225.
Practice exponents and square roots now
Pick a level
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
- Write the power out: 2⁴ means 2 × 2 × 2 × 2.
- Multiply step by step: 2, 4, 8, 16.
- For a square root, ask which number times itself gives the number under the √.
- Learn the squares from 1² to 15². Then the square roots of those numbers come free.
Worked examples
Example 2√49 = ?
- The square root asks: what number times itself gives 49?
- 7 × 7 = 49.
- So √49 = 7.
Answer: 7
Try one like it →Mistakes to watch for
- 3² is 3 × 3 = 9, not 3 × 2 = 6. That's the most common mistake.
- Any number to the power of 1 is itself.
The game
Questions
What age is it for?
Exponents and square roots usually come in around grades 6 to 8 (ages 11 to 13).
Do I need a calculator?
No. Every power and root in the game works out to a whole number.
More math practice: Addition · Subtraction · Multiplication facts · Division and long division · Place value and rounding · Fractions · Decimals · Percents and ratios · Negative numbers · Order of operations · 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