1. 4² + (1 × 5 + 7²) + 8 = 16 + (5 + 49) + 8 = 16 + 54 + 8 = 78
2. 6² ÷ (2 - 8) + 1 - 8 = 36 ÷ (-6) + 1 - 8 = -6 + 1 - 8 = -13
3. (6² × 7) ÷ 2 = (36 × 7) ÷ 2 = 252 ÷ 2 = 126
4. 9 - (5² + 7) ÷ 2 = 9 - (25 + 7) ÷ 2 = 9 - 32 ÷ 2 = 9 - 16 = -7
5. (6 + 8 - 2) = 14 - 2 = 12
6. (1 - 4²) × 2 = (1 - 16) × 2 = (-15) × 2 = -30
7. 5 + (4³ + 1) + 8 = 5 + (64 + 1) + 8 = 5 + 65 + 8 = 78
8. (4 + 8) + 1 = 12 + 1 = 13
9. (2² + 9 ÷ 1) = (4 + 9) = 13
10. (3 + 8 - 1) = 11 - 1 = 10
11. 3² + 9² - (8 + 7) ÷ 5 = 9 + 81 - 15 ÷ 5 = 90 - 3 = 87
12. 2 + 3 × (8 + 5³ ÷ 1) = 2 + 3 × (8 + 125) = 2 + 3 × 133 = 2 + 399 = 401
13. (3² × 3 + 4 + 2) - 1 = (9 × 3 + 4 + 2) - 1 = (27 + 4 + 2) - 1 = 33 - 1 = 32
14. (4³ × 3² ÷ 4) = (64 × 9 ÷ 4) = 576 ÷ 4 = 144
15. (9 × 9³ + 4) = (9 × 729 + 4) = 6561 + 4 = 6565
16. 5 - 9 + (7 × 2² - 8) = 5 - 9 + (7 × 4 - 8) = 5 - 9 + (28 - 8) = 5 - 9 + 20 = 16
17. (8 - 3²) - 8 = (8 - 9) - 8 = (-1) - 8 = -9
18. (5³ + 3 - 2³ + 6 - 8) = (125 + 3 - 8 + 6 - 8) = 128 - 8 + 6 - 8 = 120 + 6 - 8 = 126 - 8 = 118
19. (2 × 5 ÷ 5) = (10 ÷ 5) = 2
20. (1² × 7) × (8² - 8) × 1 = (1 × 7) × (64 - 8) × 1 = 7 × 56 × 1 = 392
Parent Tip: Review the logic above to help your child master the concept of pemdas worksheet 6th grade.