Mixed OperationsGrade 6Word Problems

Grade 6 Mixed Operations Word Problems

Grade 6 mixed operations word problems sheet: 10 problems on .

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Three different problem sets — same skill, same layout, fresh numbers.

Preview — Set A

Read each problem carefully. Show your work, then write your answer on the line.

  1. 1.
    Ben swam 617 laps on Tuesday and 685 laps on Thursday. How many laps did Ben swim?
  2. 2.
    Diego saved some money over the summer, then spent $36 on a book, leaving $75. How much money did Diego save?
  3. 3.
    There are 972 pages in a notebook and Ben has written on 325 of them. How many blank pages are left?
  4. 4.
    A movie theater sold tickets for $10 each. At the end of the day, the theater collected $170 from ticket sales. How many tickets were sold?
  5. 5.
    Hana does 10 push-ups each morning. How many push-ups is that over 49 days?
  6. 6.
    A rope is cut into 6 equal pieces. Each piece is 12 feet long. What was the total length of the rope before it was cut?
  7. 7.
    A gardener plants 144 seeds in 3 rows with an equal number in each row. How many seeds per row?
  8. 8.
    Uma had some stickers. After a friend gave Uma 16 more stickers, Uma had 29 stickers in total. How many stickers did Uma start with?
  9. 9.
    Omar practiced piano for 323 minutes and guitar for 597 minutes. How long did Omar practice in all?
  10. 10.
    Victor baked 132 muffins and the family ate 118 of them. How many muffins are left?

What this worksheet covers

Ten story problems fill this word problems page; problem 4 asks "A movie theater sold tickets for $10 each. At the end of…", and the sheet stays at that level throughout. Within that, the problems are written as situations that have to be translated before they can be calculated and the quantities are amounts of money, so answers need a dollar or cent sign to be complete. Further down, problem 7 asks "A gardener plants 144 seeds in 3 rows with an equal number…".

Skills practised

Grade 6 mixed operations means order of operations with exponents and multi-digit work in all four operations. Working the page asks a student to read a situation and choose an operation before computing and carry money notation through to the answer.

About the word problems format

Story problems are set one to a line with room to work underneath, problem 4, "A movie theater sold tickets for $10 each. At the end of…" among them, and the key gives each of the 10 answers with its unit. The whole job in a mixed word problem is choosing the operation, which is exactly what a one-operation page never asks.

Set A, Set B and Set C

The three sets come from the same generator with three different seeds: same skill, same layout, fresh numbers, and an answer key computed with the problems. Where Set A's problem 6 is "A rope is cut into 6 equal pieces. Each piece is 12 feet…", Set B's is "A chef uses 6 cups of flour for each batch of bread. If the…".

How to use this worksheet

Work it without a calculator. Every one of the ten mixed operations problems is designed to be done by hand, and reaching for a calculator at grade 6 skips exactly the reasoning being built. Mark the ten problems the same day using the key — an error caught immediately is a correction, and one caught next week is a habit.

One mistake to watch for

Parentheses are treated as decoration. On this grade 6 word problems, problem 7 ("A gardener plants 144 seeds in 3 rows with an equal number…") is the kind of item where it shows.

Grouping symbols have been seen but not yet connected to "do this part first".

Have the student rewrite the value of the bracket above it before doing anything else.

The full guide to teaching mixed operationsTeaching mixed operations and order of operations: the grade 1–8 progression, why PEMDAS misleads, and how interleaved practice builds operation sense.

Other grade 6 mixed operations formats

The same skill in the other formats available at this grade.

  • DrillGrade 6 Mixed Operations Drill, 30 problems
  • Timed DrillGrade 6 Mixed Operations Timed Drill, 60 problems
  • Missing NumberGrade 6 Mixed Operations Missing Number, 24 problems
  • Mixed ReviewGrade 6 Mixed Operations Mixed Review, 30 problems

A step either side

The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.

Word Problems sheets in other grade 6 topics

Six PDFs, no sign-up: three versions of this grade 6 mixed operations word problems and three answer keys, each ten problems long.

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