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This Mixed Mult Division drill has 48 problems for Grade 3. Silk Road theme. Answer key included.
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Max must solve math problems to unlock ancient merchant gates before the caravan leaves at dawn!
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 the same problem set—a skill that mirrors real-world decision-making. When your 8- or 9-year-old encounters "6 × 3" and then "18 ÷ 2" in quick succession, their brain is building mathematical flexibility and number sense. Mixed multiplication and division drills strengthen fact fluency while preventing the common mistake of "locking into" one operation. This cognitive agility helps students recognize that multiplication and division are inverse operations, not separate skills. Think of a merchant on the Silk Road: they'd multiply to calculate total goods, then divide to distribute fairly among customers. Students who master mixed drills become confident problem-solvers who can choose the right operation without hesitation, essential for word problems and multi-step thinking ahead.
What your student will practice
- Recall multiplication and division facts fluently within 10×10 and related divisions
- Quickly identify and switch between multiplication and division operations
- Apply inverse relationship between multiplication and division facts
- Build automaticity to support multi-step problem-solving
Common mistakes to watch for
Many third graders accidentally reverse operands or confuse the operation symbol mid-drill, answering "3 × 6" correctly but then writing 18 ÷ 2 = 9 when they meant 18 ÷ 3. Another common pattern: students rush through and treat every problem as multiplication, ignoring the division symbol entirely. You'll spot this when a child answers a division problem correctly in isolation but fails it within a mixed set. Watch for pencil hesitation—if your child pauses to "switch gears" between operations, they haven't yet automated the flexibility this drill builds.
Ask your child to "teach" you a mixed-mult-division problem by explaining which operation they used and why. For example, say: "I have 24 toy coins. Show me how to divide them into 4 equal piles, then multiply one pile by 3." This real-world sequencing—divide first, multiply second—mirrors actual situations (sharing snacks, then multiplying portions for a group) and strengthens their ability to think operationally rather than just compute.