NumberTopic Summary

Knowledge Organiser: BIDMAS

Part of BIDMAS · GCSE GCSE Mathematics revision

This topic summary covers Knowledge Organiser: BIDMAS within BIDMAS for GCSE Mathematics. Revise BIDMAS in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 9 of 9 in this topic. Use this topic summary to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 9 of 9

Practice

14 questions

Recall

22 flashcards

Knowledge Organiser: BIDMAS

Key Terms
  • BIDMAS: Order of operations — Brackets, Indices, Division, Multiplication, Addition, Subtraction
  • Brackets: Always solved first, including nested brackets (inside out)
  • Indices: Powers and roots, solved second
  • Equal priority: Division and Multiplication have equal rank; so do Addition and Subtraction
  • BODMAS: Alternative name — Orders instead of Indices
Must-Know Facts
  • Multiplication does NOT always come before division — they are equal priority
  • When two operations have equal priority, work left to right
  • 12 ÷ 3 × 2 = 8 (not 2) — left to right rule
  • 2 + 3 × 4 = 14 (not 20) — multiplication before addition
  • Nested brackets: solve innermost first, then work outwards
  • Indices apply to whatever is directly to their left (use brackets to extend scope)
BIDMAS Order
  • B — Brackets first
  • I — Indices (powers/roots)
  • D/M — Division and Multiplication (left to right)
  • A/S — Addition and Subtraction (left to right)
  • Memory: "Big Elephants Destroy Many Ant Settlements"
Common Mistakes
  • Multiplication before division: They have equal priority — always work left to right when both appear
  • 2 + 3 × 4 = 20: Wrong! Multiply first: 2 + 12 = 14
  • Ignoring nested brackets: Solve innermost brackets first, not outermost
  • Indices scope: 2 × 3² means 2 × 9 = 18, not (2×3)² = 36 — indices only apply to what is directly to their left
  • Addition before subtraction: They are equal priority — work left to right

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Keep building this topic

Read this section alongside the surrounding pages in BIDMAS. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for BIDMAS

What does the letter 'I' stand for in BIDMAS?

  • A. Integers
  • B. Inverse
  • C. Indices
  • D. Integration
1 markfoundation

Explain what BIDMAS tells us about calculations and why it is needed.

2 marksstandard

Quick Recall Flashcards

Calculate: 10 - 2²
**Step 1:** Indices first (BIDMAS) 2² = 4 **Step 2:** Then subtraction 10 - 4 = **6** *(Not 10 - 2 = 8, then 8² = 64)*
Calculate: 2 + 3 × 4
**Step 1:** Multiplication first (BIDMAS) 3 × 4 = 12 **Step 2:** Then addition 2 + 12 = **14** *(Not 2 + 3 = 5, then 5 × 4 = 20)*

14 questions on BIDMAS — practise free

Instant marking, adaptive difficulty, and 22 spaced repetition flashcards. Free until your GCSEs.

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