Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 314 · 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 15 + 11 × 3 ÷ 3?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 2 − 12 × 8?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 12 − 3 + 3?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 2 − 2 + 17?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 7 + 9 × 7?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 9 − 11 ÷ 4?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 × 3 + 7 − 4?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 7 × 14 + 10?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 16 − 2 + 3?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 11 − 10 × 5?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 3 ÷ 18 × 6?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 20 + 16 − 7?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 2 + 5 × 4?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 19 + 19 ÷ 20?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 7 − 8 ÷ 17?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 17 − 18 + 11?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 13 + 7 − 14?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 7 + 2 ÷ 6?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 15 + 7 ÷ 16?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 2 ÷ 11 − 12?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 20 − 9 ÷ 19?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 7 × 9 − 16?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 5 × 20 + 14?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 12 − 8 + 5?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 14 × 20 ÷ 19?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 4 ÷ 7 − 14?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 9 ÷ 16 × 13?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 13 + 6 ÷ 20?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 8 ÷ 2 × 6?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 19 − 17 × 7?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 16 ÷ 8 × 8?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 18 + 13 ÷ 9?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 2 × 5 − 16?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 12 + 6 − 2?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 20 − 15 × 19?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 3 × 4 + 9?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 12 − 6 + 5?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 3 − 3 + 13?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 17 + 15 − 7?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 5 ÷ 2 × 8?

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