The Physics Question Bank

Percentage Change

โœ๏ธ Paper first! Work out every question on paper before you open the answer. Write down every step โ€“ the equation, the numbers with units, the rearranging and the answer with its unit. In the exam, if your final answer is wrong you can still get marks for correct working, but only if the examiner can see it.

Work out percentage increases and decreases for cities, glaciers, coastlines, tourism and development data. A new question every time, with feedback on the slips examiners see most.

The rules
  1. Percentage change = (new โˆ’ original) รท original ร— 100.
  2. Always divide by the original value, the one you started from. Never the new value.
  3. A decrease gives a negative change. If the question asks for the percentage decrease, give its size, for example 12. A change of โˆ’12% is the same as a 12% decrease.
  4. Multipliers: a 20% increase is ร— 1.2 and a 20% decrease is ร— 0.8.
  5. To find the original value, divide by the multiplier. Do not take the percentage off the new value.
  6. Percentage points are the simple difference between two percentages. A rise from 60% to 75% is 15 percentage points, but a 25% increase.
Topic
Level
0correct 0attempted 0streak

Worked solution

    The places in these questions are not real. The numbers are realistic but made up for practice.

    Answers within 1% are marked correct.

    ๐Ÿ›’ Want it all printable? Revision booklets, PowerPoints and workbooks are in the Physics Question Bank store on Payhip.


    Fancy a challenge? Tap for a random set of questions from anywhere on the site.

    ๐ŸŽฒ Surprise me