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This Mixed Mult Division drill has 48 problems for Grade 3. Glaciers theme. Answer key included.
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Max discovers a hidden ice cave with 8 penguin families trapped! He must solve multiplication and division problems to unlock the ice doors before they freeze completely.
Standard: CCSS.MATH.3.OA.C.7
Preview
Page 1 — Drill
Page 2 — Answer Key
What's Included
About this Grade 3 Mixed Mult Division Drill
By Grade 3, students need to fluently switch between multiplication and division in a single problem—a skill that mirrors how we solve real-world puzzles every day. When your child figures out how many granola bars to buy for a snack group, or how to share trading cards fairly, they're using mixed multiplication and division thinking. This worksheet builds automaticity with these operations so students stop relying on counting on their fingers and start recognizing number patterns instantly. Mastering this skill strengthens working memory and number sense, preparing them for multi-step word problems and algebraic thinking in later grades. Students who can quickly compute 3 × 6 ÷ 2 without hesitation develop confidence that carries into all math learning. At this age, fluency frees up mental energy, allowing children to focus on the *why* behind math rather than the mechanics.
What your student will practice
- Fluently multiply and divide within 100 using memorized facts
- Solve mixed multiplication and division expressions left to right
- Recognize and apply the inverse relationship between multiplication and division
- Apply mixed operations to solve word problems with single steps
Common mistakes to watch for
The most common error is that students multiply or divide in the wrong order, particularly when a problem reads "24 ÷ 3 × 2." Many third-graders will compute 24 ÷ (3 × 2) instead of following left-to-right order, yielding 4 instead of 16. Another frequent mistake is confusing the operation symbols under time pressure—a child might see × and perform ÷ instead. Watch for hesitation or finger-counting on basic facts (like 6 × 7); this signals the student isn't yet fluent enough to tackle mixed operations confidently.
At home, play 'Operation Chains' during dinner or car rides: call out a starting number, then take turns saying an operation and number (e.g., 'Start with 12, divide by 3, times 4'). Have your child solve it aloud or on paper, then switch roles. This mirrors how glaciers are carved by forces acting in sequence—one operation shapes the result, then the next operation reshapes it—and makes the left-to-right rule feel like a natural game rather than a rule to memorize.