Free Math Exercises for Elementary School: Types, Examples, and Resources

Finding quality math exercises for elementary school kids shouldn't be difficult or expensive. In this guide, we walk you through the main types of exercises your child needs at each stage, with concrete examples and the best free resources available in 2026.

Exercises by grade: what your child should master

1st Grade (ages 6-7): building number sense

In first grade, the focus is on building number sense. The fundamental exercises are: counting objects up to 100, addition and subtraction with numbers up to 20, comparing numbers (greater than, less than), recognizing simple patterns, and measuring lengths with non-standard units.

Example: "Maria has 8 candies and receives 5 more. How many candies does she have now?" This type of word problem is much more effective than simply writing 8 + 5 = on a worksheet.

2nd Grade (ages 7-8): fluency in basic operations

Second grade consolidates addition and subtraction with numbers up to 100, introduces multiplication as equal groups, works with money and time (reading the clock), and begins with basic geometric shapes.

Example: "If there are 4 bags with 3 apples each, how many apples are there in total?" The child needs to understand that 4 groups of 3 is the same as 4 x 3 = 12.

3rd Grade (ages 8-9): multiplication and division

In third grade, children should memorize multiplication tables and understand division as the inverse operation. They also begin working with simple fractions (1/2, 1/3, 1/4), areas of rectangular shapes, and multi-step problems.

Example: "A rectangular garden is 6 meters long and 4 meters wide. What is its area?" This problem connects multiplication with geometry in a natural way.

4th Grade (ages 9-10): fractions and decimals

Fourth grade introduces equivalent fractions, addition and subtraction of fractions with common denominators, decimal numbers, multiplication of larger numbers, and multi-operation word problems.

Example: "If Ana eats 2/8 of a pizza and Luis eats 3/8, what fraction of the pizza have they eaten together?" Here the child practices adding fractions with common denominators in a real-world context.

5th and 6th Grade (ages 10-12): getting ready for middle school

The final years of elementary school consolidate all operations with fractions and decimals, introduce percentages, negative numbers, simple algebraic expressions, basic statistics (mean, median, mode), and geometry with perimeters, areas, and volumes.

Example: "A store offers a 25% discount on a shirt that costs $40. How much will you pay?" This type of problem prepares your child for real-world math they'll encounter every day.

The most effective types of exercises

Not all exercises are created equal. Educational research identifies several types with different benefits:

Mental math exercises: quick answers without paper. They build fluency and confidence. Example: addition chains like 7 + 5, 12 + 8, 20 + 15. Word problems: real-life situations. They develop reasoning and comprehension. Example: "If you buy 3 packs of cookies at $2.50 each, how much do you spend?" Pattern exercises: the child discovers the rule. They develop logical thinking. Example: "Complete the sequence: 2, 6, 18, 54, ..." Estimation exercises: the child estimates an approximate answer before calculating the exact one. Builds number sense.

Free online exercise resources

There are excellent free resources available. MathCracks offers over 92,000 exercises organized across 25 progressive levels, covering preschool through high school. The app is free, ad-free, and works on iPad with natural Apple Pencil writing. It's the most complete option if you're looking for structured daily practice.

Khan Academy offers video lessons with free interactive exercises. It's especially good for theoretical explanations. IXL provides skill-based practice organized by grade level and Common Core standards. And Math Playground offers math games that complement serious practice nicely.

How to organize practice at home

The key isn't just having exercises, but organizing them effectively. We recommend this routine: dedicate 15 minutes daily to math practice, always at the same time (after an afternoon snack works well for many families). Start with 2-3 minutes of quick mental math, then 10 minutes of exercises on the app or on paper, and finish with a word problem that requires thinking.

With MathCracks, this routine becomes effortless: the app already structures sessions with the right mix of review exercises, new practice, and challenges. Just open the app and the system takes care of the rest.

Common mistakes to avoid

Avoid these mistakes we see all the time: sessions that are too long (more than 20 minutes exhausts a child's concentration), skipping topics without mastering previous ones (math is sequential), focusing only on memorizing procedures without understanding the why, and not reviewing mistakes (an uncorrected error repeats itself).

The best exercise is one that's at just the right level: not so easy it bores, not so hard it frustrates. Apps with adaptive algorithms like MathCracks are especially good at finding that sweet spot automatically.

Get started today: it's free

Don't wait until the next test to start practicing. Consistent daily practice is far more effective than last-minute cramming. Download MathCracks on the App Store, choose your child's level, and let them explore the first exercises. After one week of daily practice, you'll already notice a difference in their confidence and speed with math.