Increasing and decreasing by a given percentage

Increase or decrease each amount by the given percentage.

All objectives

Foundation

18 web questions

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  1. Increase $40$ by $10\%$.
  2. Increase $60$ by $20\%$.
  3. Increase $80$ by $5\%$.
  4. Increase $30$ by $50\%$.
  5. Increase $120$ by $10\%$.
  6. Increase $90$ by $25\%$.
  7. Decrease $50$ by $10\%$.
  8. Decrease $70$ by $20\%$.
  9. Decrease $40$ by $25\%$.
  10. Decrease $90$ by $50\%$.
  11. Decrease $200$ by $10\%$.
  12. Decrease $160$ by $25\%$.
  13. A shirt costs 40 dollars. Increase the price by $10\%$.
  14. A bike helmet costs 60 dollars. Decrease the price by $20\%$.
  15. Fill in the blank: increasing $80$ by $10\%$ gives $\square$.
  16. Fill in the blank: decreasing $120$ by $25\%$ gives $\square$.
  17. Which is greater: increasing $50$ by $10\%$ or decreasing $70$ by $20\%$?
  18. Explain in one short sentence what "increase by $10\%$" means.

Proficient

18 web questions

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  1. Increase $45$ by $20\%$.
  2. Increase $72$ by $25\%$.
  3. Increase $150$ by $12\%$.
  4. Increase $240$ by $15\%$.
  5. Increase $64$ by $37.5\%$.
  6. Increase $88$ by $5\%$.
  7. Decrease $95$ by $10\%$.
  8. Decrease $120$ by $15\%$.
  9. Decrease $84$ by $25\%$.
  10. Decrease $320$ by $12.5\%$.
  11. Decrease $240$ by $35\%$.
  12. Decrease $55$ by $20\%$.
  13. A game costs 80 dollars. It is increased by $15\%$. What is the new price?
  14. A phone case costs 24 dollars. It is discounted by $25\%$. What is the sale price?
  15. Fill in the blank: increasing $200$ by $12\%$ gives $\square$.
  16. Fill in the blank: decreasing $96$ by $37.5\%$ gives $\square$.
  17. Are increasing $80$ by $25\%$ and decreasing $120$ by $\frac{1}{6}$ equal?
  18. Explain in one short sentence how $10\%$ can help you find $15\%$ of a number.

Excellence

18 web questions

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  1. A student says increasing $80$ by $25\%$ gives $85$. Are they correct? Explain.
  2. A student says decreasing $120$ by $15\%$ gives $102$. Are they correct? Explain.
  3. Increase $250$ by $18\%$.
  4. Increase $64$ by $12.5\%$.
  5. Increase $180$ by $37.5\%$.
  6. Decrease $240$ by $17.5\%$.
  7. Decrease $160$ by $12.5\%$.
  8. Decrease $320$ by $37.5\%$.
  9. A jacket costs 120 dollars and is marked up by $15\%$. What is the new price?
  10. A tablet costs 400 dollars and is discounted by $22\%$. What is the sale price?
  11. A car value of 18,000 dollars falls by $12\%$. What is the new value?
  12. A café increases a 6.40 dollar smoothie by $25\%$. What is the new price?
  13. Fill in the blank: increasing $96$ by $12.5\%$ gives $\square$.
  14. Fill in the blank: decreasing $500$ by $18\%$ gives $\square$.
  15. Which is greater: increasing $160$ by $12.5\%$ or decreasing $240$ by $25\%$? Show enough working to justify.
  16. Which is smaller: increasing $80$ by $35\%$ or decreasing $130$ by $10\%$? Explain.
  17. A price is increased by $10\%$ and then decreased by $10\%$. Does it return to the start? Use $100$ as an example.
  18. Explain why decreasing by $25\%$ is not the same as multiplying by $0.25$.