0:00
Percentages: Increase and Decrease (Non-Calc)
Select the skills to practice, and then click Go!
Foundational Skills
Calculate the amount of a percentage increase
\[ \text{£}80 + 25\% \rightarrow \text{increase} = \text{?} \]
Find the amount of increase before adding it to the original.
Calculate the amount of a percentage decrease
\[ \text{£}120 – 30\% \rightarrow \text{reduction} = \text{?} \]
Find the amount of decrease before subtracting it from the original.
Percentage Increase
Increase by 50%
\[ \text{£}70 + 50\% = \text{?} \]
Increase an amount by half.
Increase by 25%
\[ \text{£}160 + 25\% = \text{?} \]
Increase an amount by one quarter.
Increase by 10%
\[ \text{£}80 + 10\% = \text{?} \]
Increase an amount by one tenth.
Increase by a multiple of 10%
\[ \text{£}150 + 30\% = \text{?} \]
Increase an amount by 20% to 90% (multiples of 10).
Increase by 5%
\[ \text{£}80 + 5\% = \text{?} \]
Increase an amount by 5% using the halve-10% method.
Increase by 15% or 35%
\[ \text{£}120 + 15\% = \text{?} \]
Increase an amount by a combination of 10% and 5%.
Increase by 1%
\[ \text{£}300 + 1\% = \text{?} \]
Increase an amount by 1%.
Increase using 1% for any percentage
\[ \text{£}200 + 3\% = \text{?} \]
Increase an amount by a small percentage using the 1% method.
Increase by 75%
\[ \text{£}80 + 75\% = \text{?} \]
Increase an amount by three quarters.
Increase Greater Than 100%
Increase by 100%
\[ \text{£}65 + 100\% = \text{?} \]
Double an amount (increase by 100%).
Increase by 150%
\[ \text{£}40 + 150\% = \text{?} \]
Increase an amount by 150% (original plus one and a half times).
Increase by 200% or 300%
\[ \text{£}45 + 200\% = \text{?} \]
Triple or quadruple an amount.
Percentage Decrease
Decrease by 50%
\[ \text{£}90 – 50\% = \text{?} \]
Halve an amount.
Decrease by 25%
\[ \text{£}160 – 25\% = \text{?} \]
Reduce an amount by one quarter.
Decrease by 10%
\[ \text{£}130 – 10\% = \text{?} \]
Reduce an amount by one tenth.
Decrease by a multiple of 10%
\[ \text{£}180 – 30\% = \text{?} \]
Decrease an amount by 20% to 90% (multiples of 10).
Decrease by 5%
\[ \text{£}120 – 5\% = \text{?} \]
Reduce an amount by 5% using the halve-10% method.
Decrease by 15% or 35%
\[ \text{£}140 – 15\% = \text{?} \]
Decrease an amount by a combination of 10% and 5%.
Decrease by 1%
\[ \text{£}400 – 1\% = \text{?} \]
Reduce an amount by 1%.
Decrease using 1% for any percentage
\[ \text{£}300 – 4\% = \text{?} \]
Decrease an amount by a small percentage using the 1% method.
Special Cases
Decrease by 75%
\[ \text{£}120 – 75\% = \text{?} \]
Reduce an amount by three quarters (leaving one quarter).
Decrease by 33⅓%
\[ \text{£}150 – 33\tfrac{1}{3}\% = \text{?} \]
Reduce an amount by one third.
Decrease by 66⅔%
\[ \text{£}120 – 66\tfrac{2}{3}\% = \text{?} \]
Reduce an amount by two thirds (leaving one third).
Contextual Problems
Percentage increase in context
\[ \text{Price rises } 20\% \text{. New price?} \]
Apply a percentage increase in a real-world context.
Percentage decrease in context
\[ \text{Sale: } 25\% \text{ off. Sale price?} \]
Apply a percentage decrease in a real-world context.
Percentage increase greater than 100% in context
\[ \text{Value rises } 150\% \text{. New value?} \]
Apply a percentage increase over 100% in context.
Timer (Optional)
0:00
Question