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Sales, tips and percent change: 7th grade math

Multistep percent problems: tax, tips, markups, discounts, percent increase/decrease, simple interest. A free 7th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: multistep percent problems: tax, tips, markups, discounts, percent increase/decrease, simple interest.

Teach (10 min)

  • Percent change = change ÷ original. From 40 to 50: change 10, 10 ÷ 40 = 0.25, so a 25% increase.
  • A 15% increase on 40: 15% of 40 = 6, so 40 + 6 = 46. For a decrease, subtract.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/ratio.percentChange?lesson=7-ratio-pchange-1&at=7

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. A jacket costs $50. The price drops by 10%. What is the new price?
  • 2. A plant is 60 cm. It grows by 20%. How many cm tall is it now?
  • 3. A town has 500 people. Its population grows by 25%. How many people live there now?

Question set

10 questions that read in words, easiest first. Questions that need a picture are on the printable sheet below.

  1. A jacket costs $50. The price drops by 10%. What is the new price?
  2. A plant is 60 cm. It grows by 20%. How many cm tall is it now?
  3. A town has 500 people. Its population grows by 25%. How many people live there now?
  4. The population of a town changes from 400 to 500. By what percent did it increase?
  5. The population of a town changes from 1000 to 1100. By what percent did it increase?
  6. A plant is 80 cm. It is trimmed back by 20%. How many cm tall is it now?
  7. A jacket costs $100. The price drops by 20%. What is the new price?
  8. A town has 1000 people. Its population shrinks by 10%. How many people live there now?
  9. A plant is 200 cm. It grows by 20%. How many cm tall is it now?
  10. The population of a town changes from 200 to 220. By what percent did it increase?
Answers
  1. $45.00
  2. 72 cm
  3. 625
  4. 25%
  5. 10%
  6. 64 cm
  7. $80.00
  8. 900
  9. 240 cm
  10. 10%

Printable sheet

Name: ____________________   Date: ____________

Sales, tips and percent change (7th grade)

  1. A plant is 50 cm. It is trimmed back by 50%. How many cm tall is it now?
  2. The height of a plant changes from 40 cm to 36 cm. By what percent did it decrease?
  3. A plant is 80 cm. It grows by 25%. How many cm tall is it now?
  4. The height of a plant changes from 120 cm to 90 cm. By what percent did it decrease?
  5. A town has 200 people. Its population shrinks by 50%. How many people live there now?
  6. A town has 400 people. Its population shrinks by 25%. How many people live there now?
  7. The price of a jacket changes from $20 to $22. By what percent did it increase?
  8. The height of a plant changes from 60 cm to 66 cm. By what percent did it increase?
  9. A town has 7500 people. Its population shrinks by 30%. How many people live there now?
  10. The height of a plant changes from 45 cm to 51.75 cm. By what percent did it increase?
  11. A plant is 90 cm. It is trimmed back by 20%. How many cm tall is it now?
  12. The height of a plant changes from 150 cm to 60 cm. By what percent did it decrease?
Key
  1. 25 cm
  2. 10%
  3. 100 cm
  4. 25%
  5. 100
  6. 300
  7. 10%
  8. 10%
  9. 5250
  10. 15%
  11. 72 cm
  12. 60%

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.