Percentages (Edexcel IGCSE Maths A)

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  • What number is a percentage out of?

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  • What number is a percentage out of?

    A percentage is out of 100.

  • True or False?

    To find a percentage of an amount, you can divide the percentage by 100 and multiply by the amount.

    True.

    To find a percentage of an amount, you divide the percentage by 100 and multiply by the amount.

    For example, 23% of 60 can be found by calculating 23 over 100 cross times 60

  • True or False?

    To increase an amount by 20%, you could multiply the amount by the multiplier 1.2.

    True.

    To increase an amount by 20%, you could multiply the amount by the multiplier 1.2.

  • How would you find the multiplier for decreasing an amount by 15%?

    To find the multiplier for decreasing an amount by 15%, you would subtract 15 from 100 and then divide by 100.

    A multiplier for a decreasing amount will always be less than 1.

  • How would you find one number as a percentage of another number, for example 12 as a percentage of 80?

    To find one number as a percentage of another number, divide the first number by the second number then multiply by 100.

    E.g. To find 12 as a percentage of 80, divide 12 by 80 and then multiply by 100.

  • True or False?

    To find the percentage change from 20 to 32 you can calculate fraction numerator 32 minus 20 over denominator 32 end fraction cross times 100.

    False.

    To find a percentage change, you need to divide by the original number.

    fraction numerator 32 minus 20 over denominator 20 end fraction cross times 100

  • True or False?

    One option for the first step to find a percentage change is to divide by the amount after by the amount before.

    True.

    You can find a percentage change by dividing the amount after by the amount before. This gives you the multiplier for the change.

  • What is a reverse percentage?

    A reverse percentage is when you are given the value after a percentage increase or decrease and need to find the original value before the change.

  • True or False?

    If a number has been increased by 20%, to find the original number you decrease the new number by 20%.

    False.

    If a number has been increased by 20%, you can not find the original number by decreasing the new number by 20%.

    You would divide by 1.2.

  • If you are given the new number after a percentage increase or decrease, how do you find the original number?

    Find the multiplier for the percentage change. Divide the new number by the multiplier.

  • What is the multiplier when a number has been increased by 25%?

    The multiplier for a 25% increase is 1.25.

    Add 25 to 100 and then divide by 100.

  • True or False?

    A number has been decreased by 10%. To find the original number, multiply the new number by 0.9.

    False.

    A number has been decreased by 10%. To find the original number, divide the new number by 0.9. Do not multiply.

  • True or False?

    A number has been increased by 20%. To find the original number, divide the new number by 0.2.

    False.

    A number has been increased by 20%. To find the original number, divide the new number by 1.2, not 0.2. You need to add 20 to 100 and then divide by 100 to find the mutliplier.