Mixed Operations Drill Worksheets
Mixed operations sheets put more than one operation on the page so a student has to read the sign before computing. In grades 1 and 2 that means addition and subtraction side by side; from grade 3 all four operations appear, and grades 4 through 6 add two-step expressions, parentheses and the order of operations, with whole-number exponents at grade 6.
The point of mixing is that it is diagnostic. A student who is fluent on a page of pure addition and stumbles here is not reading the operation, and that is a different fix. The three-set format helps: a wrong operation chosen on the same problem shape across Sets A, B and C is a pattern, not a slip.
Mixed Operations from grade 1 to grade 6
Mixed Operations runs from grade 1 to grade 6 on 30 worksheets, six grades in all. The drill sheet shows the climb: grade 1, 20 problems with numbers to 20; grade 2, 20 problems with numbers to 94; grade 3, 20 problems with numbers to 838; grade 4, 18 problems with numbers to 136; grade 5, 20 problems with numbers to 910; grade 6, 30 problems with numbers to 998. Formats offered: drill at six grades, timed drill at six grades, missing number at six grades, mixed review at six grades, and word problems at six grades. Compare problem 7 of the grade 1 drill, "4 + 13", with problem 11 of the grade 6 drill, "(2 + 9)²". Counted across every Set A mixed operations page: 90 column problems that regroup, 5 with negative values, and 144 fill-in blanks. The mixed operations sheets carry thirteen Common Core tags, from 1.OA.1 to 6.NS.3.
For the grade-by-grade teaching sequence read How to Teach Mixed Operations, or set exact number ranges in the mixed operations generator.
Choose a grade
Mixed operations on this site runs from Grade 1 to grade 6: 30 worksheets across six grades and five formats (drill, timed drill, missing number, mixed review, and word problems), each in three versions, for 2,682 problems in all with every answer keyed. Nine of the sheets are original sheets kept as Set A of their cell, with Sets B and C derived from them.
Grade by grade: Grade 1 works on addition and subtraction within 20 on the same page, and fact families; Grade 2 works on addition and subtraction within 100 and 1,000, and three-term problems; Grade 3 works on all four operations, with two-step expressions introduced; Grade 4 works on two-step problems and expressions with parentheses; Grade 5 works on order of operations with parentheses and multi-digit computation; Grade 6 works on order of operations with exponents and multi-digit work in all four operations.
Focus: addition and subtraction within 20 on the same page, and fact families.
Grade 1 Mixed Addition and Subtraction to 20
Straight practice, 20-40 problems.
Grade 1 Mixed Operations Timed Drill
Fact fluency, 50-100 problems, timer box on sheet.
Grade 1 Mixed Operations Missing Number
Solve for the blank in any position.
Grade 1 Equal Groups: Repeated Addition to 20
Assorted problem shapes from the operation.
Grade 1 Sharing Equally
Story problems in real-world contexts.
Focus: addition and subtraction within 100 and 1,000, and three-term problems.
Grade 2 Mixed Addition and Subtraction Within 100
Straight practice, 20-40 problems.
Grade 2 Mixed Operations Timed Drill
Fact fluency, 50-100 problems, timer box on sheet.
Grade 2 Mixed Operations Missing Number
Solve for the blank in any position.
Grade 2 Mixed Operations Mixed Review
Assorted problem shapes from the operation.
Grade 2 Equal Groups and Halving
Story problems in real-world contexts.
Focus: all four operations, with two-step expressions introduced.
Grade 3 Mixed Operations Practice
Straight practice, 20-40 problems.
Grade 3 Mixed Operations Timed Drill
Fact fluency, 50-100 problems, timer box on sheet.
Grade 3 Mixed Operations Missing Number
Solve for the blank in any position.
Grade 3 Mixed Operations Mixed Review
Assorted problem shapes from the operation.
Grade 3 Word Problems (Mixed Operations)
Story problems in real-world contexts.
Focus: two-step problems and expressions with parentheses.
Grade 4 Two-Step Mixed Operations
Straight practice, 20-40 problems.
Grade 4 Mixed Operations Timed Drill
Fact fluency, 50-100 problems, timer box on sheet.
Grade 4 Mixed Operations Missing Number
Solve for the blank in any position.
Grade 4 Mixed Operations Mixed Review
Assorted problem shapes from the operation.
Grade 4 Mixed Operations Word Problems
Story problems in real-world contexts.
Focus: order of operations with parentheses and multi-digit computation.
Grade 5 Mixed Operations Practice
Straight practice, 20-40 problems.
Grade 5 Mixed Operations Timed Drill
Fact fluency, 50-100 problems, timer box on sheet.
Grade 5 Mixed Operations Missing Number
Solve for the blank in any position.
Grade 5 Mixed Operations Mixed Review
Assorted problem shapes from the operation.
Grade 5 Mixed Operations Word Problems
Story problems in real-world contexts.
Focus: order of operations with exponents and multi-digit work in all four operations.
Grade 6 Mixed Operations Drill
Straight practice, 20-40 problems.
Grade 6 Mixed Operations Timed Drill
Fact fluency, 50-100 problems, timer box on sheet.
Grade 6 Mixed Operations Missing Number
Solve for the blank in any position.
Grade 6 Mixed Operations Mixed Review
Assorted problem shapes from the operation.
Grade 6 Mixed Operations Word Problems
Story problems in real-world contexts.
The six formats
- Drill. Straight practice, 20-40 problems. A drill that changes operation from problem to problem tests sign reading as much as computation.
- Timed Drill. Fact fluency, 50-100 problems, timer box on sheet. Mixed facts under time pressure are the truest fluency check there is: nothing can be done by pattern.
- Missing Number. Solve for the blank in any position. A blank on a mixed page can belong to any operation, so the student has to reason about the relationship rather than recall a fact.
- Mixed Review. Assorted problem shapes from the operation. This format is the operation's natural home: every problem shape the grade knows, in no fixed order.
- Word Problems. Story problems in real-world contexts. The whole job in a mixed word problem is choosing the operation, which is exactly what a one-operation page never asks.