Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 591 · 40 questions

How to think it through (Swap, then BODMAS): Rewrite the sum, swapping every sign for what it means. BODMAS: do × and ÷ first, from left to right. Then do + and −, from left to right.

1. 1.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 14 − 8 × 20?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 15 ÷ 2 + 9?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 5 − 11 × 3?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 16 ÷ 3 + 3?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 9 − 6 + 2?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 17 ÷ 15 × 3?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 12 ÷ 7 + 15?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 6 − 13 + 6?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 9 × 3 ÷ 3?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 6 ÷ 17 − 18?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 9 − 2 ÷ 3?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 12 − 7 × 13?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 10 × 16 ÷ 12?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 7 ÷ 18 × 6?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 15 × 6 − 2?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 12 − 9 + 14?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 15 − 18 × 9?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 − 19 × 6?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 4 − 10 × 4?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 4 ÷ 8 × 13?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 20 × 4 ÷ 2?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 20 × 20 − 3?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 16 × 10 ÷ 6?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 12 ÷ 13 − 8?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 13 × 13 ÷ 17?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 4 × 15 − 4?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 5 + 12 × 4?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 7 ÷ 18 + 3?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 12 − 6 + 7?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 7 + 7 ÷ 10?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 2 ÷ 17 × 11?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 14 × 7 + 9?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 9 ÷ 5 + 7?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 15 − 8 × 4?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 20 × 10 ÷ 11?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 12 ÷ 13 − 5?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 8 × 7 + 8?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 12 × 15 + 20?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 6 − 11 ÷ 2?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 ÷ 9 × 7?

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