Browse Percentages & growth

61 questions at your level

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Percentage change and multipliers

24 questions

LessonNot started
A town's population is 20 00020\,000.

One year it increases by 10%10\%. The next year it decreases by 10%10\%.

(a) Work out the population after the two changes.

(b) Tom says the population is back where it started. Explain why Tom is wrong.
●●●●●Level 53 marksStart

Reverse percentages

19 questions

LessonNot started
A price is increased by 12%, and then that new price is increased by a further 5%. After both increases the price is £176.40. Work out the original price.
●●●●●Level 53 marksStart
The price of a games console was increased by 25%25\%, and the new price was later reduced by 10%10\% in a sale.

The console now costs £405405.

Work out the price before either change.
●●●●●Level 53 marksStart

Compound growth and decay

20 questions

LessonNot started
£2500 is invested at 4.2% compound interest per year. Work out the smallest number of complete years for the value of the investment to first exceed £3000.
●●●●●Level 53 marksStart
£50005000 is invested at r%r\% compound interest per year.

After 22 years the investment is worth £56185618.

Work out the value of rr.
●●●●●Level 53 marksStart
A fishery estimates its fish stock at 40 00040\,000. The stock is falling by 8%8\% each year.

Work out the smallest number of complete years until the stock first falls below 30 00030\,000.
●●●●●Level 53 marksStart