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Mathematics

Advanced Order of Operations Challenge

Order of Operations (BADMAS)
Date: May 31, 2026  •  Questions: 40  •  Estimated time: 35 minutes
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Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1. Simplify the expression: (8 + 2) * (3^2 - 4) + 7. Show your working. (3 pts)
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2. Solve the expression: [(15 - 5) / 2] * (2^3 + 9) - 8. Show your working. (3 pts)
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3. Evaluate the expression: 2 * (7 + 3^2) - (14 / 2) + 6. Show your working. (3 pts)
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4. Find the result of: [(20 / 4)^2 - 5] * (3 + 2). Show your working. (3 pts)
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5. Compute: 6 + (12 - 3^2) * (8 / 4). Show your working. (3 pts)
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6. Simplify the expression: [(9 + 6) - 2^2] * (6 + 4) + 15. Show your working. (3 pts)
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7. Evaluate: (5^2 - 3 * 4) + [(24 / 3) * (2 + 3)]. Show your working. (3 pts)
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8. Simplify the expression: (18 - (3^2 + 2)) / 2 + 7 * (4 - 1). Show your working. (3 pts)
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9. Solve the expression: 3 * (2^3) + (14 - 6) / 2 - 5. Show your working. (3 pts)
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10. Find the result of the expression: (16 / 4) * (3^2 + 1) - (7 + 3). Show your working. (3 pts)
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11. Simplify: (10 + 5) * (2^3 - 3) / (8 / 2). Show your working. (3 pts)
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12. Compute the expression: 4 * (6 + 2^2) - (3 + 7) + 10 / 2. Show your working. (3 pts)
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13. Evaluate: (14 + 2^3) - (9 / 3) * (5 - 2). Show your working. (3 pts)
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14. Simplify: [(18 / 3) + (4^2 - 6)] * 2 - 5. Show your working. (3 pts)
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15. Solve the expression: 7 + 3 * (5^2 - 8) / 2. Show your working. (3 pts)
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16. Find the result of: [(12 - 4) * (3^2 + 1)] / (10 / 2) + 8. Show your working. (3 pts)
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17. Simplify: (9 * 2^2 - 5) + ((16 / 2) + 3). Show your working. (3 pts)
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18. Evaluate: [4 * (9 - 3) + 2^3] - (12 / 4 + 5). Show your working. (3 pts)
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19. Solve: (20 - 3^2) * (8 / 2) + 7. Show your working. (3 pts)
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20. Simplify the expression: (15 + 10 / 2) * (2^3 - 4) - 6. Show your working. (3 pts)
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21. Fill in the blank: After applying BADMAS, the result of (6 + 4) * (3^2 - 1) is   . (3 pts)
22. Fill in the blank: Simplify 20 - (5^2 - 10) * 1 to find the result   . (3 pts)
23. Fill in the blank: Evaluating 2 * (5 + 2^3) - 6 gives the final result   . (3 pts)
24. Fill in the blank: Simplify [(18 / 3) + (4^2 - 9)] * 2 to obtain   . (3 pts)
25. Fill in the blank: The expression 3 * (10 - 2^2) + 4 simplifies to   . (3 pts)
26. Fill in the blank: When simplifying (14 + 6) / 2 + 2^3, the final answer is   . (3 pts)
27. Fill in the blank: Compute the result of (9 + 3) * (2^2) - 5, which equals   . (3 pts)
28. Fill in the blank: Simplifying [8 * (7 - 3^2 / 2) + 5] gives the result   . (3 pts)
29. Fill in the blank: The result of (12 * 2 + 3^2) - 10 is   . (3 pts)
30. Fill in the blank: Evaluating 4 * (8 - 2) + 2^3 results in   . (3 pts)
31. Fill in the blank: The value of [(5 + 7) * (3^2 - 4)] / 2 is   . (3 pts)
32. Fill in the blank: Simplify 9 + (16 / 4) * (2^2 - 1) to obtain   . (3 pts)
33. Fill in the blank: After using BADMAS, (10 + 2^3) - (18 / 3) evaluates to   . (3 pts)
34. Fill in the blank: The expression (15 - 7) * (2^3) + 4 simplifies to   . (3 pts)
35. Fill in the blank: Simplify (25 / 5) + (3 * (4^2) - 10) to obtain   . (3 pts)
36. Fill in the blank: Applying BADMAS to 2 * (9 + 4) - 3^2 results in   . (3 pts)
37. Fill in the blank: The final result of (30 - 2^3) / 2 + 7 is   . (3 pts)
38. Fill in the blank: Evaluate (8 + 12) - (2^3) + (16 / 4) to get   . (3 pts)
39. Fill in the blank: Simplify 5 * (6 + 2^2) - (14 - 4) to obtain   . (3 pts)
40. Fill in the blank: The expression [(18 / 2) + (7 - 3)] * 2 results in   . (3 pts)