Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 123 · 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 18 × 2 + 20 − 20?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 4 × 10 ÷ 14?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 4 ÷ 18 + 3?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 8 − 17 × 13?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 5 ÷ 11 − 8?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 11 ÷ 12 − 20?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 4 − 14 ÷ 2?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 8 × 10 ÷ 14?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 5 × 8 ÷ 12?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 5 − 12 ÷ 2?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 12 + 11 × 2?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 10 × 2 ÷ 18?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 18 × 5 + 16?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 15 × 15 + 12?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 15 ÷ 14 × 6?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 × 13 − 19 + 17?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 10 − 8 + 18?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 16 × 2 ÷ 12?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 3 × 20 − 2?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 19 − 10 + 8?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 17 + 8 × 4?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 6 ÷ 10 − 5?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 8 − 13 ÷ 10?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 3 × 6 ÷ 3?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 7 ÷ 16 − 11?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 14 + 8 − 4?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 17 ÷ 13 × 6?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 5 ÷ 4 − 2?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 15 + 7 × 5?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 13 − 20 ÷ 12?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 2 × 3 ÷ 14?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 14 ÷ 20 − 14?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 7 × 17 − 16?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 15 ÷ 17 + 8?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 17 ÷ 13 − 15?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 5 × 16 − 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 2 ÷ 2 − 7?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 19 + 6 ÷ 2?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 7 × 7 ÷ 3?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 7 + 7 − 15 ÷ 6?

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