Practice Maths

Understanding Percentages — Solutions

Click any answer to watch the solution video.

  1. % to fraction

    1. 50%:
    2. 25%:
    3. 75%:
    4. 10%:
    5. 20%:
    6. 40%:
    7. 5%:
    8. 80%:

  2. % to decimal

    1. 30%:
    2. 45%:
    3. 8%:
    4. 12.5%:
    5. 100%:
    6. 3%:
    7. 62.5%:
    8. 1%:

  3. Decimal/fraction to %

    1. 0.7:
    2. 0.04:
    3. 0.125:
    4. 0.375:
    5. ½:
    6. 3⁄10:
    7. 7⁄20:
    8. 9⁄25:

  4. One quantity as % of another

    1. 15 out of 60:
    2. 7 out of 20:
    3. 36 out of 90:
    4. 8 out of 32:
    5. 45 out of 75:
    6. 3 out of 8:

  5. Comparing using %

    1. Mia vs Ben:
    2. 360 out of 480:
    3. Ascending order:
    4. 0.4 vs 42%:

  6. Problem solving

    1. Students present:
    2. Blue marbles:
    3. Books read — most to least:
    4. Tea survey:

  7. Tricky % to fraction and decimal

    1. 4%:
    2. 12.5%:
    3. 37.5%:
    4. 120%:
    5. 0.4%:
    6. 16⅔%:
    7. 33⅓%:
    8. 87.5%:

  8. Interpret percentage statements

    1. 100% cotton:
    2. 8% sugar in 250 mL:
    3. 2.5% interest on $400:
    4. 2% fail out of 2500:

  9. Order and compare

    1. Descending order:
    2. 7⁄12 vs 58%:
    3. Election ranking:
    4. Test comparison:

  10. Extended percentage investigation

    1. Male students:
    2. Car park at noon:
    3. Website visits:
    4. Orange lollies: