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.

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 were first published on MathSheetLab and are kept here 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.

Focus: addition and subtraction within 100 and 1,000, and three-term problems.

Focus: all four operations, with two-step expressions introduced.

Focus: two-step problems and expressions with parentheses.

Focus: order of operations with parentheses and multi-digit computation.

Focus: order of operations with exponents and multi-digit work in all four operations.

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.

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