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Grade 9Curriculum · Maths

Grade 9 Math Worksheets — Free Printable

A ready-made mixed sheet for grade 9 at the top, and a complete practice pack below: systems of equations, the Pythagorean theorem, interest and percentage points, powers and standard form, quadratic equations and multi-step everyday problems.

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Exercise type
Mixed review of all areas
Grade
9
Difficulty
Medium
Number of tasks
20
Task format
Mixed
Paper size
A4
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Topics on this worksheet

Areas on this sheet

  • Algebra · 4
  • Relationships and change · 4
  • Geometry · 4
  • Number sense · 3

Mixed review of all areas · Grade 9

Name: ____________________
1.

Solve the system: 3x + 2y = 20 and 2x + y = 12

2.

Find the equation y = kx + m of the line through (−1, 4) and (0, 7).

3.

A ladder leans against a wall. The foot of the ladder is 6 m from the wall and it reaches 8 m up the wall. How long is the ladder? Answer with the correct unit.

4.

Factorise: x² − 25

5.

Calculate: 3 % → 3.5 % = ? percentage points

6.

3 painters need 8 days to paint a house. How many days would 8 painters need? Answer with the correct unit.

7.

Calculate: √100 =

8.

On a winter morning it is −10 °C. The temperature rises by 3 °C per hour for 5 hours. In the evening it then falls by 9 °C. What is the temperature in the evening? Answer with the correct unit.

9.

On a winter morning it is −13 °C. The temperature rises by 3 °C per hour for 4 hours. In the evening it then falls by 7 °C. What is the temperature in the evening? Answer with the correct unit.

10.

Expand: (x − 7)²

11.

Solve the system: x + 2y = 16 and −3x + 3y = 6

12.

Distance between (−6, 1) and (6, 17) =

13.

A ladder leans against a wall. The foot of the ladder is 5 m from the wall and it reaches 12 m up the wall. How long is the ladder? Answer with the correct unit.

14.

A coin is tossed 100 times and shows heads 41 times. What is the relative frequency of heads?

15.

Calculate: 1000 kr at 2.5 % interest. Value after 3 years =

16.

Solve the equation: x² + 2x − 8 = 0

17.

Calculate: √256 =

18.

Calculate: 5⁴ · 5³ =

19.

A phone plan costs 19 kr per month. On top of that, each extra GB of data costs 1.5 kr. Maja uses 7 extra GB every month. What does the plan cost in total over 6 months? Answer with the correct unit.

20.

Legs: a = 5 cm, b = 12 cm. Hypotenuse c =

Answer key

  1. 1. x = 4, y = 4
  2. 2. y = 3x + 7
  3. 3. 10 m
  4. 4. (x + 5)(x − 5)
  5. 5. 0.5 percentage points
  6. 6. 3 days
  7. 7. 10
  8. 8. −4 °C
  9. 9. −8 °C
  10. 10. x² − 14x + 49
  11. 11. x = 4, y = 6
  12. 12. 20
  13. 13. 13 m
  14. 14. 0.41
  15. 15. 1076.89 kr
  16. 16. x₁ = −4, x₂ = 2
  17. 17. 16
  18. 18. 5⁷
  19. 19. 177 kr
  20. 20. 13 cm

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How to use the tool

  1. Print the mixed sheet directly, or adjust level and number of tasks.
  2. Open each sheet in the practice pack for every topic.
  3. “Create New Version” gives new numbers every time.

About this generator

This page gathers what students in grade 9 usually practise: systems of equations, the Pythagorean theorem, interest and percentage points, powers and standard form, quadratic equations and multi-step everyday problems. The mixed sheet at the top is calculated at a level suited to the grade and includes word problems. Below it you find a ready practice pack with separate generators for each topic, so a whole week of maths can be printed in a few minutes. Every sheet has an answer key calculated by the website. No sign-up and no personal data are needed.

Popular uses

  • Weekly maths pack
  • Homework
  • Revision before tests
  • Substitute lessons

Plan a useful printable

Start with one clear learning goal and choose only the settings that support it. A short, focused sheet is often easier to explain, complete and review than a crowded page. The live preview makes it possible to check spacing, task count and difficulty before paper is used. Create another version when a class needs the same skill with different content.

Adapt it to the learner

Use fewer items, larger writing areas and familiar content for beginners. Increase the amount, range or complexity gradually for confident learners. Teachers can also combine the printable with oral instructions, pair work or a short follow-up discussion. Because every page is customizable, the same activity can support a warm-up, independent practice, homework or revision.

Print clearly and reuse

Choose A4 or US Letter to match the printer, then print at 100 percent whenever exact spacing matters. The PDF option uses the browser print dialog and creates a clean file for later use. Generated content is prepared in the browser, requires no pupil account and has no watermark. Review every sheet before sharing it, especially when you add your own words or text.

Ready practice pack

Open each sheet, print it with answers, and you have a full week of maths.

  1. 1. Systems of equations
  2. 2. Pythagorean theorem
  3. 3. Interest & percent change
  4. 4. Powers & roots
  5. 5. National test prep (grade 9)
Weekly math worksheet — new every Monday →Build your own pack →

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Frequently asked questions

How do I pick the right level?
Choose an age or grade in step 2. Start easier if the pupil is unsure – you can switch anytime and get new problems instantly.
Can I see the problems before printing?
Yes. The sheet shows exactly the problems that will print. Click New problems to swap them.
How do I include an answer key?
Turn on Answer key in the last step. It prints on its own page after the problems, with the same numbering.
What does the question mark next to a problem do?
It opens a step-by-step explanation of the method on screen. It is not printed and does not reveal the answer.
What do students learn in grade 9 maths?
Typically systems of equations, the Pythagorean theorem, interest and percentage points, powers and standard form, quadratic equations and multi-step everyday problems.
Is there an answer key?
Yes, every sheet can be printed with answers.
Are these grade 9 math worksheets free?
Yes. All grade 9 math worksheets are free to print as PDF, with no account.

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