Grade 7 Integers Worksheets — Multiply & Divide Negatives, PDF
By Grade 7 the number line is familiar and the job shifts to the full toolkit: multiplying and dividing integers, not just adding and subtracting them. Seven sub-skills are offered at this grade and the page opens on Multiplying Integers, where the difficulty control steps from One negative factor, to Both factors negative, to Three factors. Dividing Integers, Adding Integers, Subtracting Integers, Mixed Operations, Find the Missing Integer and Integer Word Problems are separate sheets with three levels of their own. Mixed Operations is the one that combines two or three operations in a single line, and it is exactly where the sign rules either become automatic or fall apart.
Use the controls to fit the session: dial the question count up or down, switch the difficulty in one click, and toggle the answer key. The preview matches the downloaded PDF exactly, Shuffle refreshes the problems at the same settings, and the page link brings back an identical sheet for a fair re-test.
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Integers · Grade 7
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Grade 7 · 2 pages · A4More Grade 7 integers skills
Each one generates a different kind of question, with its own three levels and answer key.
- Multiplying IntegersMultiply signed numbers and decide whether the answer is positive or negative.
- Dividing IntegersDivide signed numbers. Every answer is a whole number.
- Adding IntegersAdd positive and negative numbers, including three-number sums.
- Subtracting IntegersTake one integer from another, including subtracting a negative.
- Mixed OperationsExpressions that combine two or three operations on signed numbers.
- Find the Missing IntegerFill the blank that makes each statement true, using inverse operations.
- Integer Word ProblemsTemperature, depth and balance stories where the sign carries the meaning.
What each level generates
Grade 7 multiplying integers — the exact skill behind each difficulty setting, straight from the generator.
- Level 1One negative factor
- Level 2Both factors negative
- Level 3Three factors
Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →
What Grade 7 integers should cover
Grade 7 completes integer arithmetic. Students are expected to multiply and divide signed numbers fluently, understand why a negative times a negative is positive (repeated subtraction, or preserving the distributive property), and apply the operations inside real contexts and simple expressions.
Mixed Operations is the sheet that carries this. When a multiplication or division has to be finished with an addition or subtraction, a student cannot coast on a single rule — they must carry the correct sign from the first step into the second. That is the skill Grade 7 is really assessing, so build fluency on Multiplying Integers and Dividing Integers first, then use Mixed Operations to test it.
Keeping the two sign systems straight
The commonest Grade 7 confusion is blending the addition rules with the multiplication rules. For multiplying and dividing, only the count of negative signs matters: an even number of negatives gives a positive, an odd number gives a negative, so (-6) x (-4) = 24 but (-6) x 4 = -24. For adding and subtracting, signs and sizes both matter and the number line still rules.
A reliable drill is to have your student say the rule they are using out loud before each answer — "different signs, so the product is negative." It sounds fussy for a day and then prevents most silent slips. If divide-by errors appear, remind them that the sign rule for division is identical to multiplication; only the arithmetic changes.
Frequently asked questions
▸What integer skills are expected in Grade 7?
All four operations with integers: adding and subtracting fluently, then multiplying and dividing signed numbers and applying those rules in expressions and word contexts. Grade 7 is usually where multiplication and division of negatives are formally taught.
▸Why is a negative times a negative positive?
Because it keeps arithmetic consistent. Multiplying by a negative reverses direction on the number line, so reversing twice — negative times negative — points back to positive. (-3) x (-4) = 12.
▸How do I combine operations on one worksheet?
Choose the Mixed Operations sub-skill. Each problem mixes multiplying or dividing with adding or subtracting (Level 2 works out a bracket first), so your student has to move between operations in a single line rather than repeating one procedure. Multiplying Integers and Dividing Integers stay available for pure single-operation practice.
▸Can I use the same sheet for a class re-test?
Yes. The page link reproduces the identical worksheet and answer key, so you can hand the same problems to a whole class or re-test one student weeks later and compare results fairly.
▸What size should a Grade 7 integer worksheet be?
Around 15 to 20 mixed problems suits most students — long enough to hit every case, short enough to stay accurate. Use the stepper to match your session, and Shuffle for a fresh set tomorrow.