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This Mixed All Operations drill has 48 problems for Grade 3. Magic Carpet theme. Answer key included.
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Max's magic carpet is losing altitude! He must solve math problems fast to collect enough magic crystals and save the kingdom below!
Standard: CCSS.MATH.3.OA.D.8
Preview
Page 1 — Drill
Page 2 — Answer Key
What's Included
About this Grade 3 Mixed All Operations Drill
By Grade 3, students are ready to work with problems that mix addition, subtraction, multiplication, and division in a single expression. This skill is crucial because the real world rarely presents math in isolation—calculating the cost of snacks, figuring out equal groups of items, or solving word problems all require students to decide which operation to use and in what order. At ages 8-9, children's brains are developing the ability to hold multiple steps in mind and switch between different strategies, which is exactly what mixed-operations demand. Mastering this skill builds confidence and flexibility in math thinking, preparing students for more complex problem-solving in upper grades. When students practice mixed-operations regularly, they strengthen their number sense and learn that math is a connected system, not separate topics to memorize.
What your student will practice
- Identify which operation to perform first when given a mixed-operations expression
- Solve two-step problems combining addition or subtraction with multiplication or division
- Apply left-to-right reasoning correctly for operations of equal priority
- Justify their work by explaining which operation they used and why
Common mistakes to watch for
The most common error Grade 3 students make is solving mixed-operations problems strictly left-to-right without recognizing that multiplication and division must happen before addition and subtraction. For example, a student might solve 2 + 3 × 4 as (2 + 3) × 4 = 20 instead of 2 + (3 × 4) = 14. Watch for students who write their steps in order but skip multiplication or division, or who circle the wrong operation first. Ask them to point to which operation they did first and why—their answer reveals whether they understand priority or are just following a habit.
Create real shopping scenarios at home: "If apples cost $2 each and you buy 3, plus you spend $5 on milk, how much did you spend?" Have your child write down the math sentence (3 × $2 + $5) and solve it aloud, saying the operation name as they go. This mirrors the kind of mixed-operations work they do on worksheets but makes it meaningful—like planning a small purchase on a magic carpet ride through the grocery store. Repeat this weekly with different scenarios so the pattern becomes automatic.