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Grade 6Common Core (CCSS) · Math

Aligned with the Common Core State Standards · All grades

Math · Grade 6

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Worked example

  1. The goal: find a new value when two quantities grow at the same rate (twice as many costs twice as much).
  2. First find the cost of ONE unit. Example: 3 apples cost 15 kr → 1 apple = 15 ÷ 3 = 5 kr.
  3. Then multiply by the amount asked for: 7 apples = 7 × 5 = 35 kr.
  4. Answer: 35 kr. This is called proportionality – the price grows evenly with the amount.
  5. Check: read the question again. Does your answer give what was asked, with the right unit? Work backwards to see that it fits. ✓

Mixed review of all areas · Grade 6

Name: ____________________
1.

4 kg of apples cost 36 kr. What do 5 kg cost? Answer with the correct unit.

2.

A taxi charges 36 kr to start plus 6 kr per km. What does a 3 km ride cost? Answer with the correct unit.

3.

Calculate: 34 ÷ 23 =

4.

Calculate the volume of a cuboid: 7 cm × 2 cm × 3 cm =

5.

Solve: 4x + 6 = 34

6.

A fundraiser raises 100 kr. 30% goes toward supplies. How much goes toward supplies? Answer with the correct unit.

7.

Calculate: -2 + 19 =

8.

Median and mode of 7, 22, 20, 29, 22

9.

Calculate: 60% of 10 =

10.

Triangle: base 26 cm, height 4 cm. Area =

11.

A car uses 9 litres of fuel per 30 km. How many litres for 40 km? Answer with the correct unit.

12.

Calculate the mean of 24, 22, 23, 15, 13, 13 and 23.

13.

Calculate: 12 ÷ 12 =

14.

A train travels 15 km in 1 hours. What is its average speed? Answer with the correct unit.

15.

Solve: 3x + 2 = 11

16.

5 of 25 seeds grew into plants. What percentage grew?

17.

Calculate: -7 + 5 =

18.

Calculate: 7 + 8 × 2 =

19.

A fundraiser raises 40 kr. 25% goes toward supplies. How much goes toward supplies? Answer with the correct unit.

20.

Calculate: 36 / 5 =

21.

If 3 kg cost 45 kr, how much do 2 kg cost?

22.

A cinema card costs 32 kr plus 9 kr per film. What is the total cost for 10 films? Answer with the correct unit.

23.

Calculate: 46 ÷ 48 =

24.

Calculate: 21.3 / 3 =

25.

A taxi costs 26 kr to start plus 9 kr per km. A trip costs 71 kr. How many km was the trip? Answer with the correct unit.

26.

Calculate: 16 − (-5) =

27.

Calculate: -11 + 18 =

28.

Find the value when x = 1: x² + 12 =

29.

Calculate: 5% of 400 =

30.

Elias got 2 points out of 20. What percentage is that?

Answer key

  1. 1. 45 kr
  2. 2. 54 kr
  3. 3. 118
  4. 4. 42 cm³
  5. 5. x = 7
  6. 6. 30 kr
  7. 7. 17
  8. 8. median 22, mode 22
  9. 9. 6
  10. 10. 52 cm²
  11. 11. 12 l
  12. 12. 19
  13. 13. 1
  14. 14. 15 km/h
  15. 15. x = 3
  16. 16. 20%
  17. 17. -2
  18. 18. 23
  19. 19. 10 kr
  20. 20. 7.2
  21. 21. 30 kr
  22. 22. 122 kr
  23. 23. 113
  24. 24. 7.1
  25. 25. 5 km
  26. 26. 21
  27. 27. 7
  28. 28. 13
  29. 29. 20
  30. 30. 10%

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Topics on this worksheet

Areas on this sheet

  • Geometry · 1
  • Algebra · 3
  • Probability and statistics · 1

Step 1 of 5

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Your choices

Area
Review
Exercise type
Mixed review of all areas
Grade
6 (ages 11–12)
Difficulty
Medium
Number of tasks
30
Task format
Mixed
Paper size
US Letter
1. Choose content
Area
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A ready-made mixed sheet for grade 6 at the top, and a complete practice pack below: ratios and rates, percent, dividing fractions, negative numbers, expressions and one-step equations, area of triangles, volume, mean and median (Common Core 6.RP, 6.NS, 6.EE, 6.G, 6.SP).

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 children in grade 6 usually practice: ratios and rates, percent, dividing fractions, negative numbers, expressions and one-step equations, area of triangles, volume, mean and median (Common Core 6.RP, 6.NS, 6.EE, 6.G, 6.SP). The mixed sheet at the top is calculated at a level suited to the grade and includes simple word problems. Below it you find a ready practice pack with separate generators for each topic, so a whole week of math 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 math pack
  • Homework
  • Early finishers
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More sheets for grade 6: Fractions · Percent · Area & perimeter · Statistics

Ready practice pack

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

  1. 1. Fractions
  2. 2. Percent
  3. 3. Area & perimeter
  4. 4. Statistics
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 children learn in grade 6 maths?
Typically ratios and rates, percent, dividing fractions, negative numbers, expressions and one-step equations, area of triangles, volume, mean and median (Common Core 6.RP, 6.NS, 6.EE, 6.G, 6.SP).
Is there an answer key?
Yes, every sheet can be printed with answers.
Are these grade 6 math worksheets free?
Yes. All grade 6 math worksheets are free to print as PDF, with no account.
How often should a grade 6 child practice math?
Short sessions of 10–15 minutes a few times a week work well. Use “Create new version” for fresh numbers each time.

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