Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 81 · 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 8 + 2 × 7 ÷ 12?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 3 × 2 ÷ 19?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 11 ÷ 20 + 19?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 4 × 17 + 7?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 2 ÷ 12 × 9?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 2 ÷ 8 + 6?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 8 − 6 + 2?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 16 ÷ 7 × 2?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 16 × 19 ÷ 14?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 15 − 5 × 17?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 6 × 9 − 5?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 9 + 3 × 2?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 20 × 17 + 12?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 2 − 12 ÷ 11?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 6 ÷ 20 + 9?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 9 × 12 + 4?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 2 − 8 ÷ 13?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 6 × 3 ÷ 9?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 9 ÷ 2 + 6?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 16 + 12 − 4?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 14 ÷ 16 − 15?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 15 ÷ 2 × 2?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 7 ÷ 6 + 6?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 3 − 14 × 6?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 4 × 7 ÷ 18?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 18 − 12 × 15?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 19 + 13 × 3?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 6 + 5 × 2?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 3 ÷ 7 + 11?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 15 ÷ 20 − 4?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 8 ÷ 9 × 3?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 14 ÷ 14 − 14?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 10 + 12 × 14?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 13 × 9 ÷ 15?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 2 − 20 + 2?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 4 × 9 + 9?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 11 × 3 − 10?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 20 − 5 ÷ 6?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 12 + 3 × 4?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 13 + 13 ÷ 6?

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