Study Guide
Integers Explained: Working with Negative Numbers
Explains positive and negative whole numbers using the number line, then sets out the rules for adding, subtracting, multiplying and…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
WorksheetYear 7Level 3 · Challenge
Free Year 7 Integers (Directed Numbers) Worksheet — Level 3
Adding, subtracting, multiplying and dividing positive and negative numbers. A challenge set for students ready to stretch further. This Year 7 worksheet has 20 questions and comes with a full answer sheet showing the working for every question.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 7
- Subject
- Mathematics
- Topic
- Integers
- Difficulty
- Level 3 · Challenge
- Estimated time
- 10 minutes
- Curriculum
- Australian Curriculum
- Questions
- 20
- Answers
- Included, with working
- Format
- PDF (A4) + print
Students will practise
- adding and subtracting integers
- multiplying and dividing integers
- applying sign rules
Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: Year 7 Integers (Directed Numbers) Worksheet — Level 3
How to use this worksheet
- Print the PDF or complete it on screen. Write the student's name and date at the top.
- Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
- Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
- Record the score, celebrate what went well, then follow the "What's next" suggestion.
Common questions
Who is this worksheet for?
Year 7 students (typically ages 12–13) working on integers. It is pitched at level 3 · challenge; an easier version is linked above.
Are the answers included?
Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.
How long does it take?
About 10 minutes for 20 questions. Short, regular sessions work best: two or three a week beats one long one.
Do I need to sign up to download?
No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.
What should we do next?
Try Year 7 Order of Operations (BODMAS) Worksheet — Level 2.
Preview
Year 7 · Mathematics · Integers
Year 7 Integers (Directed Numbers) Worksheet — Level 3
Success Tutoring
Student name:
Date:
Score: /
Remember the sign rules. Use a number line if it helps.
1.(−11) + 16 =
2.(−16) × (−15) =
3.6 × 1 =
4.(−4) − (−4) =
5.16 − 7 =
6.(−9) − 5 =
7.(−5) ÷ 5 =
8.(−6) ÷ (−2) =
9.(−4) × (−12) =
10.(−12) ÷ 12 =
11.(−12) − (−9) =
12.(−7) ÷ 7 =
13.5 + 3 =
14.108 ÷ 18 =
15.(−7) × (−15) =
16.(−1) − 3 =
17.4 + (−16) =
18.(−19) − 7 =
19.(−8) × 15 =
20.9 ÷ 9 =
Preview — the PDF contains the full resource and answer sheet.
More Year 7 integers resources
- Worksheet
Year 7 Integers (Directed Numbers) Worksheet — Level 2
Adding, subtracting, multiplying and dividing positive and negative numbers. Expected-level practice for this year group. This Year 7…
- Difficulty
- Level 2 · Standard
- Time
- 10 min
- Questions
- 20 questions
- Answers
- Answers included
- Worksheet
Year 7 Integers (Directed Numbers) Worksheet — Level 2 (Set 2)
Adding, subtracting, multiplying and dividing positive and negative numbers. Expected-level practice for this year group. This Year 7…
- Difficulty
- Level 2 · Standard
- Time
- 10 min
- Questions
- 20 questions
- Answers
- Answers included
Integers in other year levels
- Year 6 Integers (Directed Numbers) Worksheet — Level 1
Worksheet · Year 6 · Integers · Level 1 · Easier
- Year 8 Integers (Directed Numbers) Worksheet — Level 3
Worksheet · Year 8 · Integers · Level 3 · Challenge
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About this resource
- Created by
- Success Tutoring Maths Team
- Reviewed by
- Success Tutoring
- Last reviewed
- 1 October 2026
- How it was made
- Generated by checked procedures
Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.