Repeated percentage change
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Lesson details
Key learning points
- In this lesson, we will learn about the cumulative effect of repeated percentage changes.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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5 Questions
Q1.
If 75% of my number is 150, what is my number?
11,250
112.5
225
Q2.
If I buy a car in a 20% off sale and it costs £30,000, how much did the car originally cost?
£6,000
37,500
6,000
Q3.
If I decreased the amount I paid for my car insurance by 90% to £36.50 per year, how much did I pay previously for my car insurance?
£3.65
£32.90
£36.50
Q4.
If a jumper was marked as 56% off and costs £50 now, then 44% of the original cost of the jumper is equal to £50
False
Q5.
If I know something costs £2.10 in a 30% off sale, then i would do £2.10 = 70% and scale accordingly to get that 100% = £3 to find the original amount.
False
5 Questions
Q1.
What would the value of £300 become if it grew by 5% and then another 5%?
£305
£310
£330
Q2.
If an antique appreciates by 6% per year for 11 years, the decimal multiplier would be 1.06^11.
False
Q3.
If I want to find the 'original' price of something that is currently in a sale and has 40%, I always need to find 100% of the amount to work out the original price.
False
Q4.
If I start with a number, increase it by 30% and then decrease it by 30%, I get back to the original number.
True
Q5.
The decimal multiplier to increase an amount by 6% for 5 years would be...
1.06 x 5
1.6 x 5
1.6^5