Grade 6 Integers Mixed Review
Grade 6 integers mixed review sheet: 30 problems on comparing integers, absolute value, opposites, ordering integers, adding integers on a number line.
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Three different problem sets — same skill, same layout, fresh numbers.
Preview — Set A
Solve each problem. Read carefully — the problems change shape as you go.
- 1.-5 + 6 =
- 2.Order from least to greatest: 18, -5, -12, 3
- 3.The opposite of -48 is
- 4.|82| =
- 5.-16 ___ 29
- 6.5 + 6 =
- 7.Order from least to greatest: -20, 23, 12, -3
- 8.The opposite of -6 is
- 9.|-85| =
- 10.35 ___ 16
- 11.1 + 6 =
- 12.Order from least to greatest: -15, -29, 30, -27
- 13.The opposite of -94 is
- 14.|-8| =
- 15.-44 ___ 49
- 16.-10 + (-7) =
- 17.Order from least to greatest: -25, -5, -15, -18
- 18.The opposite of -36 is
- 19.|-12| =
- 20.-20 ___ -37
- 21.10 + (-8) =
- 22.Order from least to greatest: 22, -1, 6, 28
- 23.The opposite of 17 is
- 24.|28| =
- 25.-31 ___ -34
- 26.5 + (-6) =
- 27.Order from least to greatest: -10, 19, 26, -15
- 28.The opposite of -77 is
- 29.|51| =
- 30.-20 ___ 19
What this worksheet covers
Set A of this grade 6 mixed review sheet holds 30 integers problems on one printable page, with the answer key on the page behind it. What makes this set particular: 21 of the 30 problems involve a negative quantity and the numbers run as high as 94. Two problems from the middle of the page — "1 + 6" and "10 + (-8)" — show the range. The sheet sits inside Common Core 6.NS.7, in the grade 6 The Number System strand.
Skills practised
Grade 6 integers means comparing and ordering integers, opposites, absolute value, and a first look at adding on a number line. What a student is asked to do here is comparing integers, absolute value, and opposites. Working the page asks a student to track direction as well as magnitude and reason backwards from a result to a missing part. 25 different answers appear across the 30 problems, so a student cannot copy one result down the page.
About the mixed review format
The 30 problems are deliberately assorted — problem 11, "1 + 6" is followed by something of another shape — so the student has to read each one rather than run the last method again. Mixing the four operations on signed numbers forces the student to pick the right sign rule for each problem.
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 16 is "-10 + (-7)", Set B's is "|20|".
How to use this worksheet
Have the student estimate before computing, then compare. At grade 6 an integers answer that is wildly off should announce itself, and building that reflex matters as much as the 30 answers. If more than a third of the 30 problems come back wrong, stop and step back a grade in integers rather than assigning Set B.
One mistake to watch for
Adding a negative is treated as an error: -8 + 3 is answered 11 or -11. Problem 21 on this grade 6 mixed review page, "10 + (-8)", is where to look for it.
The rule "addition makes things bigger" held for seven years and is being defended.
Work on a number line only, with no rules, until direction is automatic; introduce the sign shortcuts afterward.
Other grade 6 integers formats
The same skill in the other formats available at this grade.
- Drill — Grade 6 Integers Drill, 30 problems
- Timed Drill — Grade 6 Integers Timed Drill, 60 problems
- Missing Number — Grade 6 Integers Missing Number, 24 problems
- Word Problems — Grade 6 Integers Word Problems, 10 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.
- Grade 7 Subtracting Rational Numbers — grade 7, 20 problems
Mixed Review sheets in other grade 6 topics
Free to download, print and photocopy for a whole class: three mixed review sheets of grade 6 integers, 30 problems each, keys included.