Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 67 · 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 3 − 14 × 14 ÷ 3?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 12 ÷ 8 + 20?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 4 + 17 ÷ 16?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 8 − 16 + 16?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 2 − 3 ÷ 14?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 12 × 17 − 4?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 10 + 2 ÷ 20?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 2 − 2 + 11 × 5?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 9 − 9 × 7?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 9 + 12 − 20?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 12 − 9 + 12?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 12 + 9 − 2?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 3 × 3 ÷ 7?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 19 ÷ 10 + 19?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 3 × 7 ÷ 7?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 10 + 14 ÷ 16?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 8 + 2 − 14?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 16 − 12 ÷ 8?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 17 + 6 × 13?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 3 ÷ 8 × 8?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 4 + 13 − 2?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 7 ÷ 4 − 4?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 6 ÷ 11 × 5?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 4 − 8 × 4?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 3 + 12 × 12?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 2 + 14 × 13?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 3 ÷ 4 × 3?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 × 9 − 2 + 6?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 6 + 5 × 15?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 6 − 3 × 12?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 5 × 6 − 5?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 2 × 10 − 2?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 18 × 2 − 13?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 2 − 14 ÷ 16?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 19 − 2 + 15?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 17 × 20 + 5?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 16 − 18 + 9?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 2 + 14 ÷ 6?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 16 + 9 − 16?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 20 × 2 + 6?

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