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Grade 7Common Core (CCSS) · Math

Aligned with the Common Core State Standards · All grades

Math · Grade 7

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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 7

Name: ____________________
1.

2 tickets cost 6 kr. What do 3 tickets cost? Answer with the correct unit.

2.

Simplify: x + y + 9x + 3y + 5 =

3.

A tent costs 320 kr. The sale discount is 25%. What is the sale price? Answer with the correct unit.

4.

In a triangle: A = 36°, B = 97°. C = ?

5.

Calculate: -15 × 29 =

6.

A nursery has 40 plants. 20% are tomato plants. How many tomato plants are there? Answer with the correct unit.

7.

A taxi costs 32 kr to start plus 9 kr per km. A trip costs 140 kr. How many km was the trip? Answer with the correct unit.

8.

A bag has 6 red, 8 blue and 6 green marbles. You take one without looking. What is the probability it is red?

9.

This bag has 6 red, 3 blue and 6 green marbles. One marble is drawn at random. Calculate the probability that it is red.

10.

Circle with radius 8 cm (π ≈ 3.14). Circumference = ?, Area = ?

11.

4 kg of apples cost 96 kr. What do 9 kg cost? Answer with the correct unit.

12.

Calculate the volume of a cuboid: 13 cm × 9 cm × 9 cm =

13.

A TV costs 825 kr and is reduced by 12%. What is the new price? Answer with the correct unit.

14.

Kim has 2 T-shirts and 5 pairs of trousers. How many different outfits are possible? Answer with the correct unit.

15.

Calculate: -21 × 13 =

16.

A board game costs 925 kr. In the sale it is 12% cheaper. What does it cost in the sale? Answer with the correct unit.

17.

A plumber charges 8 kr for the visit plus 3 kr per hour. The bill is 50 kr. How many hours did the job take? Answer with the correct unit.

18.

Scale 1:25,000. 6 cm on the map = __ km in reality

19.

A spinner has 5 yellow, 8 white and 5 black sections of equal size. What is the probability of yellow?

20.

Calculate: 35 − 110 =

Answer key

  1. 1. 9 kr
  2. 2. 10x + 4y + 5
  3. 3. 240 kr
  4. 4. 47°
  5. 5. -435
  6. 6. 8 plants
  7. 7. 12 km
  8. 8. 310
  9. 9. 25
  10. 10. Circumference ≈ 50.2 cm, Area ≈ 201 cm²
  11. 11. 216 kr
  12. 12. 1053 cm³
  13. 13. 726 kr
  14. 14. 10 outfits
  15. 15. -273
  16. 16. 814 kr
  17. 17. 14 h
  18. 18. 1.5 km
  19. 19. 518
  20. 20. 12

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Topics on this worksheet

Areas on this sheet

  • Algebra · 3
  • Relationships and change · 2
  • Probability and statistics · 3
  • Geometry · 3

Step 1 of 5

Choose an area

Your choices

Area
Review
Exercise type
Mixed review of all areas
Grade
7 (ages 12–13)
Difficulty
Medium
Number of tasks
20
Task format
Mixed
Paper size
US Letter
1. Choose content
Area
More options

A ready-made mixed sheet for grade 7 at the top, and a complete practice pack below: proportional relationships, percent change and discounts, operations with rational numbers, expressions and equations, scale drawings, circles and angles, probability (Common Core 7.RP, 7.NS, 7.EE, 7.G, 7.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 students in grade 7 usually practice: proportional relationships, percent change and discounts, operations with rational numbers, expressions and equations, scale drawings, circles and angles, probability (Common Core 7.RP, 7.NS, 7.EE, 7.G, 7.SP). 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 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
  • Revision before tests
  • Substitute lessons

More sheets for grade 7: Equations · Percent · Proportionality · Statistics & probability

Ready practice pack

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

  1. 1. Equations
  2. 2. Percent
  3. 3. Proportionality
  4. 4. Statistics & probability
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 7 maths?
Typically proportional relationships, percent change and discounts, operations with rational numbers, expressions and equations, scale drawings, circles and angles, probability (Common Core 7.RP, 7.NS, 7.EE, 7.G, 7.SP).
Is there an answer key?
Yes, every sheet can be printed with answers.
Are these grade 7 math worksheets free?
Yes. All grade 7 math worksheets are free to print as PDF, with no account.

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