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Year 7 maths worksheets

Integers, equations, ratios, fractions and percentages, area and volume, and statistics.

Ready-made:Monday warm up: 20 mixedIntegersSolving equationsRatios

Year 7 MathsPatternsandalgebraNameDatePatterns and algebraAC9M7A011.Ifa=4andb=5,find5a+2b.2.Ifa=4andb=5,find3a+3b.3.Ifa=6andb=6,find2a+2b.4.Ifa=5andb=4,find3a+5b.5.Ifa=5andb=7,find5a+3b.6.Ifa=2andb=7,find3a+4b.7.Ifa=7andb=2,find2a+5b.8.Ifa=6andb=7,find5a+4b.9.Ifa=4andb=4,find5a+3b.10.Ifa=3andb=4,find5a+4b.Free maths worksheets: teachbuysell.com.au/tools/maths-worksheetsSet 1 Page 1 of 3

Questions on this sheet

  1. If a = 4 and b = 5, find 5a + 2b. blank
  2. If a = 4 and b = 5, find 3a + 3b. blank
  3. If a = 6 and b = 6, find 2a + 2b. blank
  4. If a = 5 and b = 4, find 3a + 5b. blank
  5. If a = 5 and b = 7, find 5a + 3b. blank
  6. If a = 2 and b = 7, find 3a + 4b. blank
  7. If a = 7 and b = 2, find 2a + 5b. blank
  8. If a = 6 and b = 7, find 5a + 4b. blank
  9. If a = 4 and b = 4, find 5a + 3b. blank
  10. If a = 3 and b = 4, find 5a + 4b. blank
  11. If a = 9 and b = 3, find 5a + 3b. blank
  12. If a = 6 and b = 8, find 3a + 3b. blank
  13. If a = 4 and b = 6, find 3a + 4b. blank
  14. If a = 9 and b = 3, find 3a + 5b. blank
  15. If a = 4 and b = 2, find 3a + 2b. blank
  16. If a = 3 and b = 2, find 4a + 5b. blank
  17. If a = 5 and b = 9, find 2a + 5b. blank
  18. If a = 2 and b = 9, find 2a + 3b. blank
  19. If a = 9 and b = 2, find 5a + 3b. blank
  20. If a = 6 and b = 3, find 4a + 5b. blank
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Free Year 7 maths worksheets by topic

Every topic Year 7 covers in the Australian Curriculum v9. Each sheet is 20 questions on A4 with the answer key on the last page. Nothing to sign up for.

  • Year 7 place value worksheets

    Expanded notation with powers of 10AC9M7N03

    On the sheet:Write 60 473 in expanded notation using powers of 10.Write 59 178 in expanded notation using powers of 10.

    EasierOn levelHarder

  • Year 7 fractions worksheets

    Multiplying and dividing fractionsAC9M7N06

    On the sheet:1/3 ÷ 5/6 = ___1/3 × 1/2 = ___

    EasierOn levelHarder

  • Year 7 decimals and percentages worksheets

    Rounding and multiplying decimals, percentagesAC9M7N05AC9M7N06

    On the sheet:0.39 × 0.5 = ___8.9 × 0.6 = ___

    EasierOn levelHarder

  • Year 7 odd, even, factors and primes worksheets

    Square roots and prime factorsAC9M7N01AC9M7N02

    On the sheet:√49 = ___√9 = ___

    EasierOn levelHarder

  • Year 7 integers worksheets

    Adding and subtracting integersAC9M7N07

    On the sheet:−2 − 4 = ___−15 + 5 = ___

    EasierOn levelHarder

  • Year 7 ratios worksheets

    Simplifying ratios and sharing in a ratioAC9M7N08

    On the sheet:7 : 4 = ___ : 121 : 9 = ___ : 81

    EasierOn levelHarder

  • Year 7 area and volume worksheets

    Triangles, parallelograms and prismsAC9M7M01AC9M7M02

    EasierOn levelHarder

  • Year 7 patterns and algebra worksheets

    Substituting into formulasAC9M7A01

    On the sheet:y = 5x − 2. When x = 5, y = ___y = 5x − 10. When x = 9, y = ___

    EasierOn levelHarder

  • Year 7 order of operations (BODMAS) worksheets

    BODMAS with squares (builds on Year 6)AC9M6A02AC9M7N01

    On the sheet:33 ÷ (5 + 6) × 4 − 5 = ___15 ÷ (1 + 4) × 2 − 5 = ___

    EasierOn levelHarder

  • Year 7 simple equations worksheets

    Solving one-step and two-step linear equationsAC9M7A03

    On the sheet:5k + 20 = 40 k = ___7n + 7 = 91 n = ___

    EasierOn levelHarder

  • Year 7 tables and graphs worksheets

    Mean, median, mode and rangeAC9M7ST01

    EasierOn levelHarder

Year 7 maths resources from Australian teachers

Want a whole unit rather than a practice sheet? Units, games, assessments and task cards made by teachers, the free ones first.

Free Year 7 maths resources

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What Year 7 maths covers

Year 7 in v9 adds and subtracts integers, solves one-variable linear equations, and introduces ratio (it is not in Year 6). Students use all four operations with fractions, decimals and percentages, find square roots and prime factorisations, substitute into formulas, find the area of triangles and parallelograms and the volume of rectangular prisms, and calculate the mean, median, mode and range of a data set.

How I would use the sheets

  • Warm ups: a mixed sheet of 20 at the start of a lesson, a few questions from each topic, so earlier work keeps coming back. Press New questions for Tuesday.
  • After teaching a skill: one topic, 20 or 30 questions, with a worked example at the top so students can check their method before they start.
  • Differentiation: make the same topic at Easier, On level and Harder and hand out the one each group needs. They look the same, so nobody feels singled out.
  • Homework and relief: copy the link into your program or the relief folder. Whoever opens it prints the identical sheet and answers.

The Year 7 question types and their v9 codes

Every type has three levels. The codes are the Australian Curriculum v9 content descriptions the questions practise; select one to read it in full.

On the sheetv9 code
Place valueExpanded notation with powers of 10AC9M7N03
FractionsMultiplying and dividing fractionsAC9M7N06
Decimals and percentagesRounding and multiplying decimals, percentagesAC9M7N05AC9M7N06
Odd, even, factors and primesSquare roots and prime factorsAC9M7N01AC9M7N02
IntegersAdding and subtracting integersAC9M7N07
RatiosSimplifying ratios and sharing in a ratioAC9M7N08
Area and perimeterTriangles, parallelograms and prismsAC9M7M01AC9M7M02
Patterns and algebraSubstituting into formulasAC9M7A01
Order of operations (BODMAS)BODMAS with squares (builds on Year 6)AC9M6A02AC9M7N01
Simple equationsSolving one-step and two-step linear equationsAC9M7A03
Tables and graphsMean, median, mode and rangeAC9M7ST01

Ready-made Year 7 sheets

Other years

More maths on TeachBuySell

For the board: the hundreds chart, number line, fraction wall and teaching clock. For practice: times tables worksheets. Guides: primary maths worksheets, maths warm ups, fractions worksheets, place value activities, multiplication and division activities.

Questions teachers ask

Are these Year 7 maths worksheets free?

Yes. There is nothing to sign up for and no limit. The questions are made in your browser, so you can make as many sheets as you like and print them all.

Do the worksheets come with answers?

Every PDF ends with an answer key on its own page, numbered to match the questions. Print the questions for the class and keep the last page for marking.

How do I get a different set of questions?

Press New questions. Each set has a number, printed at the bottom of the sheet and kept in the page address, so the same link always gives the same questions and the same answers. Send the link to a colleague and they print exactly what you printed.

Are they matched to the Australian Curriculum?

Each question type is written for the content descriptions in the Australian Curriculum version 9.0 for that year, and the codes are printed beside each section, such as AC9M3N03. Where a type in a year revises the year before, it says so.

What do Easier, On level and Harder change?

On level sits inside the year’s content descriptions. Easier uses smaller numbers or fewer steps, for revision or students who need support. Harder stretches to the top of the year, for example regrouping in more than one column, without moving into the next year’s content.

Want every year in one place? The maths worksheet generator has them all.