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Maths Y10
Simple and Compound Interest
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Cards (12)
What is
simple interest
?
It is calculated by
multiplying
the percentage amount by the number of
periods
the money is invested for.
What is the interest on borrowing £40 for 3 years at a simple interest rate of 5% per year?
£6
What is the total amount payable after borrowing £40 for 3 years at 5% simple interest?
£46
How is compound interest different from simple interest?
Compound interest is calculated on the
initial
amount and the
accumulated
interest.
How much will Mrs. Hill have to repay the bank after borrowing £500 at 4% compound interest for 3 years?
£562.43
What are the key differences between simple and compound interest?
Simple interest is calculated on the
principal
only.
Compound interest is calculated on the
principal
and
accumulated
interest.
What is the total amount after 3 years if the initial amount is £1500 and the interest is compounded at 4%?
£580
How is compound interest calculated?
It is calculated using the
initial
amount and a
multiplier
for each time period.
If Mrs. Hill borrows £500 at 4% compound interest for 3 years, how much will she repay at the end of Year 3?
£562.43
What is the formula for calculating compound interest?
Amount =
Initial
Amount x (1 + Interest Rate) ^ Number of Years
Example: For £500 at 4% for 3 years:
Year 1: £500 x
1.04
=
£520
Year 2: £520 x
1.04
=
£540.80
Year 3:
£540.80
x
1.04
= £562.43
What is the multiplier for a 5% interest rate?
05
If a man invests £2000 at an 8% interest rate for 5 years, how much will he have at the end?
£2938.66