Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 422 · 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 14 ÷ 11 − 2 × 2?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 2 − 8 ÷ 16?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 4 × 2 + 20?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 5 − 5 ÷ 15?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 8 ÷ 18 + 15?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 20 + 2 − 19?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 18 ÷ 10 − 11?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 7 ÷ 13 − 13?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 13 ÷ 6 + 4?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 16 × 2 − 11?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 13 − 18 × 20?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 10 − 8 + 4?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 19 ÷ 13 × 7?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 11 × 20 − 4?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 14 − 2 ÷ 11?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 12 − 11 + 6?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 16 − 7 ÷ 9?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 4 ÷ 13 + 19?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 19 + 4 − 13?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 20 ÷ 12 + 8?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 4 ÷ 4 × 20?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 11 ÷ 7 × 17?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 9 × 3 + 3?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 8 ÷ 4 + 16?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 4 + 14 ÷ 13?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 17 ÷ 12 − 17?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 17 + 14 ÷ 2?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 15 − 13 + 7?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 15 + 10 × 17?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 5 ÷ 15 − 17?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 10 − 6 ÷ 9?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 3 + 3 − 10 × 2?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 5 − 5 × 3 + 6?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 14 − 3 + 14?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 18 × 8 + 17?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 17 − 17 ÷ 2?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 2 ÷ 16 − 7?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 16 × 8 − 6?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 × 2 + 9 ÷ 11?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 14 ÷ 16 + 20?

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