Certificates / Quantitative aptitude / Simplification

Simplification: lesson, then the certificate test

Step 1: the lesson (about 1 min)

Work in a fixed order: brackets, then powers and roots, then × and ÷ from left to right, then + and − from left to right (BODMAS).

  • Clear the innermost bracket first.
  • × and ÷ have equal rank: do them in the order they appear, left to right. The same for + and −.
  • For approximation questions, round each number to an easy one and pick the nearest option.

Worked example

18 ÷ 3 × 2 + 4² − 5 = ?

  • Power first: 4² = 16
  • Left to right: 18 ÷ 3 = 6, then 6 × 2 = 12
  • 12 + 16 − 5 = 23

Answer: 23

Watch out

  • 18 ÷ 3 × 2 is 12, not 3: do not multiply before dividing just because × comes first in BODMAS.

Made by Shishya (AI-assisted): a general method in our own words, with our own example; no exam or platform question is copied.

Practise Simplification first

Step 2: the test