BEDMAS Operations Answer Sheet
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BEDMAS Operations — Answer Sheet
Year 9 Maths | Teacher Reference Copy
🔢 Part 1: Numeric Expressions — Answers
Step-by-step solutions are shown below for teacher reference. Each step is on its own line using correct notation.
= 8 + 6 (Multiplication first)
= 14
= 8 × 2 (Brackets first)
= 16
= 4 + 9 (Exponent first: 3² = 9)
= 13
= 6 ÷ 2 × 3 (Brackets first: 1 + 2 = 3)
= 3 × 3 (Division then Multiplication, left to right)
= 9
= (8 + 4) × (4) ÷ 2 (Exponent: 2³ = 8; both brackets evaluated)
= 12 × 4 ÷ 2 (Brackets resolved)
= 48 ÷ 2 (Multiplication then Division, left to right)
= 24
= 10 − 4 + 2 (Exponent: 2² = 4; Brackets: 6 ÷ 3 = 2)
= 6 + 2 (Subtraction then Addition, left to right)
= 8
= 5 × (12 − 16) + 3 (Exponent inside brackets: 4² = 16)
= 5 × (−4) + 3 (Brackets resolved)
= −20 + 3 (Multiplication)
= −17
🔡 Part 2: Algebraic Expressions — Answers
Evaluate each expression using the given value of the variable. Apply BEDMAS at every step.
= 2 × (2 + 3) (Substitute x = 2)
= 2 × 5 (Brackets first)
= 10
= 3² + 4 × 3 − 1 (Substitute x = 3)
= 9 + 12 − 1 (Exponent, then Multiplication)
= 21 − 1 (Addition then Subtraction, left to right)
= 20
= (6 + 2)² ÷ 4 (Substitute x = 6)
= 8² ÷ 4 (Brackets first)
= 64 ÷ 4 (Exponent: 8² = 64)
= 16
📌 Common Errors to Watch For
1. Addition before Multiplication: In Q1, students may incorrectly add 8 + 3 first to get 11 × 2 = 22. Correct answer is 14.
2. Ignoring Brackets: In Q2, students may multiply 5 × 2 = 10 then add 3 = 13. Correct answer is 16.
3. Misreading Exponents: In Q3, students may calculate 4 + 3 = 7 then square it to get 49. Correct answer is 13.
4. Left-to-right rule ignored: In Q4, students may multiply 2 × 3 = 6 first, then divide 6 ÷ 6 = 1. Correct answer is 9.
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