FRACTIONS, DECIMALS AND PERCENTAGES

Fractions Decimals And Percentages

Learn the reliable method for fractions decimals and percentages, then apply it to 11+ exam-style questions.

1 · WHAT YOU NEED TO KNOW

The idea

Fractions Decimals And Percentages questions test whether you understand the size of fractions and how numerator and denominator work together.

Picture itConnect parts out of 100
Stationery and UK money arranged as a real-life shopping problem
2 · THE METHOD

Follow these steps

  1. Identify the whole and the operation required.
  2. Use equivalent fractions or convert mixed numbers where helpful.
  3. Calculate carefully, simplify, and compare the result with the original values.
3 · WORKED EXAMPLES

See the method in action

Example 1

A school choir has 40 members and 16 sing alto. What percentage of the choir sing alto?

  1. Compare the part with the whole: 16 ÷ 40 × 100.
  2. Therefore the answer is 40%.
Answer: 40%
Example 2

At a sports event, 40% of 160 juniors and 50% of 120 seniors choose athletics. How many more juniors than seniors choose athletics?

  1. Find 40% of 160.
  2. Find 50% of 120, then compare the numbers.
  3. Therefore the answer is 4 people.
Answer: 4 people
4 · ELEVENSPRINT TIP

A useful shortcut

A larger denominator does not automatically mean a larger fraction.

5 · COMMON MISTAKES

Watch out for these

Comparing numerator or denominator alone

Compare the value of the whole fraction, using a common denominator when needed.

6 · TRY IT YOURSELF

Three fresh questions

Ready to check the method? You will get three fresh, validated questions.