3rd Grade Mixed Operations Quizzes

These quizzes are for third graders and cover two-step word problems using all four operations: addition, subtraction, multiplication, and division. They also introduce the rules for the order of operations to solve equations with multiple steps.

Start with simple expressions involving only two different operations, like `3 + 4 × 2`. Show them how solving left-to-right gives a different (and incorrect) answer than doing multiplication first. Introduce the rule that multiplication and division are done before addition and subtraction. Use the PEMDAS mnemonic, but focus only on the P, M/D, and A/S relevant to Grade 3.

Two-step word problems are essential. For example: "A bake sale has 4 trays with 10 cookies on each. If 15 cookies are sold, how many are left?" This requires students to first multiply (4 x 10) and then subtract (40 - 15). This type of problem forces them to both choose the correct operations and perform them in the correct sequence.

In Grade 3, the most frequent mistake is reverting to solving problems from left to right, ignoring the order of operations. For an expression like `5 + 2 × 10`, many students will incorrectly calculate `7 × 10 = 70` instead of the correct `5 + 20 = 25`. Consistent reinforcement of the "multiply/divide before you add/subtract" rule is key.

These quizzes are highly versatile. You can print the PDF for a focused in-class activity, a homework assignment, or a formal quiz. For a more interactive experience, assign the digital version on Wayground, which can be automatically graded. For printed work, the Wayground for Teachers app lets you scan and grade submissions using the provided answer key.

This is a major focus in Grade 3. The Common Core standards (specifically 3.OA.D.8) require students to solve two-step word problems using the four operations and represent these problems using equations with a letter standing for the unknown quantity. These quizzes provide direct practice for mastering this critical standard, which lays the groundwork for algebraic reasoning.

For students who find two-step problems overwhelming, use Wayground's quiz customization tools to create a scaffolded version by breaking a single problem into two separate questions. For digital assignments, you can also enable the "Read Aloud" feature to help with reading comprehension or reduce the number of answer choices to lower cognitive load.