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Percentages of shapes

Percentages of shapes. Estimating percentages. Estimating percentages. Equivalent fractions, decimals and percentages. Table of equivalences. Table of equivalences. Ordering on a number line. Dominoes. Calculating percentages mentally. Some percentages are easy to work out mentally:. 1%.

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Percentages of shapes

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  1. Percentages of shapes

  2. Estimating percentages

  3. Estimating percentages

  4. Equivalentfractions,decimalsand percentages

  5. Table of equivalences

  6. Table of equivalences

  7. Ordering on a number line

  8. Dominoes

  9. Calculating percentages mentally Some percentages are easy to work out mentally: 1% Divide by 100 To find 10% Divide by 10 To find 25% Divide by 4 To find 50% Divide by 2 To find

  10. Calculating percentages mentally 20% 30% 60% 15% 75% 11% 2% 49% 150% 17.5% 0.5 % We can use percentages that we know to find other percentages. Suggest ways to work out:

  11. Spider diagram

  12. Finding the original amount We can use a unitary method to solve these type of percentage problems. For example, Christopher’s monthly salary after a 5% pay rise is £1312.50. What was his original salary? The new salary represents 105% of the original salary. 105% of the original salary = £1312.50 1% of the original salary = £1312.50 ÷ 105 100% of the original salary = £1312.50 ÷ 105 × 100 = £1250 This method has more steps involved but may be easier to remember.

  13. Finding the original amount

  14. Finding the original amount actual increase Percentage increase = × 100% original amount actual decrease Percentage decrease = × 100% original amount Sometimes, we are given an original value and a new value and we are asked to find the percentage increase or decrease. We can do this using the following formulae:

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