Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 526 · 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 − 4 × 3 ÷ 20?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 6 − 3 + 5?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 11 × 7 + 20?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 18 − 18 × 9?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 18 − 6 × 5?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 16 + 16 − 6?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 7 ÷ 19 + 19?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 5 + 16 × 15?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 2 × 16 ÷ 5?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 6 + 2 × 11?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 16 ÷ 18 + 5?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 16 + 4 × 11?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 11 × 2 − 2?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 4 − 9 × 3?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 7 − 18 + 6?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 4 + 12 × 13?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 16 − 12 + 14?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 5 + 5 − 15?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 18 ÷ 19 + 20?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 6 ÷ 19 × 3?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 3 − 11 × 20?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 3 + 10 − 5?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 13 − 6 ÷ 17?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 3 ÷ 10 − 5?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 7 ÷ 18 × 18?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 5 + 5 ÷ 8 − 6?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 5 + 20 − 13?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 7 + 18 × 20?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 9 × 12 + 20?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 7 − 11 × 6?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 11 − 12 ÷ 15?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 15 + 16 ÷ 2?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 2 × 7 ÷ 5?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 2 + 12 × 17?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 11 − 2 ÷ 6?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 11 × 20 ÷ 5?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 17 × 19 ÷ 3?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 6 ÷ 8 + 6?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 9 × 20 − 5?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 2 × 20 − 13?

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