Welcome to the mixed operations worksheets page at Math-Drills.com where getting mixed up is part of the fun! This page includes Mixed operations math worksheets with addition, subtraction, multiplication and division and worksheets for order of operations. We've started off this page by mixing up all four operations: addition, subtraction, multiplication, and division because that might be what you are looking for. If you're looking for something a little more specific, just scroll down to find the mixed addition/subtraction worksheets, mixed addition/subtraction/multiplication worksheets and the mixed multiplication/division worksheets.
Once students are fairly comfortable with worksheets that only challenge them to use one operation, they might get slightly complacent about paying attention to the operation being used. This is where mixed operations worksheets help; they encourage students to notice and use the correct operation. Observation skills related to operational signs, we have found, are quite beneficial to student achievement in mathematics. They are also beneficial when calculating how much material is needed to pave a road. Don't leave your students short! Get them noticing the signs today!
Mixed Operations Worksheets
Mixed operations worksheets that include a variety of operations, but only one operation per question.
Time to mix it up! We have included a mixture of multiple operations worksheets for many different levels. Choose the one that is most appropriate for your student.
Whether you're trying to teach the relationship between addition and subtraction; you're testing a student's mastery of their addition and subtraction facts; or you want some practice worksheets to turn your student into a future engineer, these worksheets have what you need.
We included these ones because sometimes division is that one extra little step that students haven't quite mastered. Whether you are differentiating the learning in your classroom or want something for the whole group, you will probably find it here.
These math worksheets with mixed multiplication and division are useful for students who need to see the relationship between multiplication and division. Being able to use their knowledge of the multiplication facts in finding division facts is a valuable skill to have for any student.
Order of Operations
Elementary and middle school students generally use the acronyms PEMDAS or BEDMAS to help them remember the order in which they complete multi-operation questions. The 'P' or 'B' in the acronym stands for parentheses or brackets. All operations within brackets get completed first. The 'E' refers to any exponents; all exponents are calculated after the parentheses. The 'M' and 'D' are interchangeable as one completes the multiplication and division in the order that they appear from left to right. The fourth and final step is to solve for the addition and subtraction in the order that they appear from left to right.
More recently, students are being taught the acronym, PEMA, for order of operations, to avoid the confusion inherent in the other acronyms. For example, in PEMDAS, multiplication comes before division which some people incorrectly assumes means that multiplication must be done before division in an order of operations question. In fact, the two operations are completed in the order that they occur from left to right in the question. This is recognized in PEMA which more correctly shows that there are four levels to complete in an order of operations question.
Unless you want your students doing something different than the rest of the world, it would be a good idea to get them to understand these rules. There is no discovery or exploration needed here. These are rules that need to be learned and practiced and have been accepted as the standard approach to solving any multi-step mathematics problem.
This is a good starting point where only addition and multiplication is involved (with a few parentheses thrown in). These worksheets will help students to recognize that multiplication is done before addition unless there are parentheses involved. It's always nice if you can think up a few examples to illustrate what some of these questions mean. For example, 2 + 7 × 3 could refer to the number of days in two days and three weeks. (9 + 2) × 15 could mean the total amount earned if someone worked 9 hours yesterday and 2 hours today for $15 an hour.