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Percentages
Percentage tasks are mathematical problems where one needs to find a part or a percentage of the whole based on certain conditions or given values.
Questions: 10Estimated time: 10 minutes
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Question 1out of 10
A container is 75% full. What percentage is still needed to reach 100%?
The whole container is 100%. Subtract the percentage already full from 100% to find the percentage still needed.
For example, if 40% is full, 100% − 40% = 60% remains. The two parts must add up to 100%.
Question 2out of 10
Find 20% of 60.
A percent means one hundredth. To find a percentage of a number, divide the number by 100 and multiply by the percentage.
For example, 20% of 60 is 60 ÷ 100 × 20 = 12. Useful shortcuts: 10% is one tenth, 25% is one quarter, and 50% is one half.
Question 3out of 10
Increase 90 by 60%.
First find the stated percentage of the original number: number · percentage / 100. Then add this increase to the original number.
You can also calculate it in one step: new number = original number · (1 + percentage / 100).
Question 4out of 10
There are 80 pupils in a class. 50% of them are taking part in a trip. How many pupils are taking part?
Find the stated percentage of the total number of pupils. Divide the total by 100 and multiply by the percentage.
You can use a shortcut: for 10%, divide by 10; for 20%, by 5; for 25%, by 4; for 50%, by 2. The answer is a number of pupils.
Question 5out of 10
Find 5% of number 200.
A percent means one hundredth. To find a percentage of a number, divide the number by 100 and multiply by the percentage.
For example, 20% of 60 is 60 ÷ 100 × 20 = 12. Useful shortcuts: 10% is one tenth, 25% is one quarter, and 50% is one half.
Question 6out of 10
7 is what percentage of 70?
To find a part as a percentage, divide the part by the whole and multiply by 100.
For example, 15 out of 60 is 15 ÷ 60 × 100 = 25%. The first number in the question is the part; the second is the whole.
Question 7out of 10
Increase the number 500 by 1 percent.
Increasing a number by a percentage means adding the calculated increase to the original number.
- Divide the original number by 100 and multiply by the percentage.
- Add that increase to the original number.
For example, increasing 200 by 10% gives 200 + 20 = 220.
Question 8out of 10
Select the correct match to 75%
Percentages are hundredths. Write the percentage above the fraction line and 100 below it.
For example, 35% = 35/100. The denominator 100 shows that the whole is divided into one hundred parts.
Question 9out of 10
An item cost €40. It has a 10% discount. What is the new price?
A discount reduces the price. First find the discount amount: divide the original price by 100 and multiply by the discount percentage.
Then subtract the discount from the original price. For example, 25% off €40 means a discount of €10 and a new price of 40 − 10 = €30.
Question 10out of 10
20% of €50 was saved. How many euros were saved?
Find the saved amount by calculating the stated percentage of the original sum: sum ÷ 100 × percentage.
For example, saving 20% of €50 gives 50 ÷ 100 × 20 = €10 saved. The question asks for the saved amount, not the money left.
Time left: 00:00:00
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Sample questions
- Find ___% of number ___.
- Increase the number ___ by ___ percent.
- Select the correct match to ___%
- Find ___% of ___.
- Increase ___ by ___%.
Percentages as hundredths
One percent means one hundredth of a whole: 1% = 1/100. Therefore, 25% is 25/100 or one quarter, 50% is one half and 100% represents the complete quantity.
How can a percentage of a number be found?
To find a% of a number, divide the number by 100 and multiply by a. For example, 20% of 60 is 60 ÷ 100 × 20 = 12. Familiar fractions can simplify calculations: 50% is one half, 25% is one quarter and 10% is found by dividing by 10.
When increasing a quantity by a percentage, first find the increase and then add it to the original quantity. Do not give only the percentage part when the question asks for the new final value.
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