Order of Operations (PEMDAS) — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 3 × 5 + 4 × 2 = 23.
Do both multiplications first: 3 × 5 = 15 and 4 × 2 = 8, then add to get 15 + 8 = 23.
2. (14 - 6) ÷ 4 + 9 = 11.
Parentheses first: (14 - 6) = 8, then divide 8 ÷ 4 = 2, and finally add 2 + 9 = 11.
3. 7 × (3 + 2) - 15 = 20.
Parentheses first: (3 + 2) = 5, then multiply 7 × 5 = 35, and subtract 35 - 15 = 20.
4. 32 ÷ 4 + 6 × 3 = 26.
Divide and multiply first: 32 ÷ 4 = 8 and 6 × 3 = 18, then add to get 8 + 18 = 26.
5. (5 + 7) × 2 - 14 = 10.
Parentheses first: (5 + 7) = 12, then multiply 12 × 2 = 24, and subtract 24 - 14 = 10.
6. 45 ÷ (3 + 6) + 4 = 9.
Parentheses first: (3 + 6) = 9, then divide 45 ÷ 9 = 5, and add 5 + 4 = 9.
7. 8 × 3 - 12 ÷ 6 = 22.
Multiply and divide first: 8 × 3 = 24 and 12 ÷ 6 = 2, then subtract to get 24 - 2 = 22.
8. (20 - 8) ÷ 3 + 5 × 2 = 14.
Parentheses first: (20 - 8) = 12, then divide and multiply: 12 ÷ 3 = 4 and 5 × 2 = 10, then add 4 + 10 = 14.
9. 6 × (10 - 7) + 12 ÷ 4 = 21.
Parentheses first: (10 - 7) = 3, then multiply and divide: 6 × 3 = 18 and 12 ÷ 4 = 3, then add 18 + 3 = 21.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
9 + 2 × 5
→ 19
55
(9 + 2) × 5
→ 55
3
18 ÷ 3 - 2
→ 4
4
(18 - 3) ÷ 5
→ 3
19
Correct matches: 9 + 2 × 5 → 19; (9 + 2) × 5 → 55; 18 ÷ 3 - 2 → 4; (18 - 3) ÷ 5 → 3.