Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 132 · 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 19 ÷ 11 − 12 + 15?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 2 − 12 × 6?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 20 − 2 ÷ 17?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 17 ÷ 16 + 5?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 18 × 20 ÷ 13?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 20 ÷ 10 − 3?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 12 × 6 − 4?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 14 ÷ 9 + 2?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 9 − 2 ÷ 9?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 4 × 3 − 7?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 9 − 18 ÷ 8?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 5 × 14 + 2?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 16 + 16 ÷ 17?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 16 + 18 ÷ 11?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 15 + 12 × 9?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 15 − 8 + 20?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 3 + 19 × 18?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 9 ÷ 7 × 10?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 13 + 11 × 3?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 4 × 3 ÷ 16?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 − 4 × 10?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 14 + 10 − 20?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 3 + 3 − 3 ÷ 5?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 2 − 6 ÷ 17?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 2 × 13 + 11?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 7 + 18 × 17?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 12 ÷ 6 − 3?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 3 + 19 ÷ 10?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 8 + 17 − 13?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 14 − 20 × 4?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 15 − 19 ÷ 2?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 14 × 13 − 13?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 15 + 20 × 15?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 14 ÷ 11 − 17?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 4 + 17 × 9?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 6 − 6 + 6?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 12 − 6 ÷ 12?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 15 − 16 + 10?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 8 ÷ 9 − 5?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 5 − 19 + 14?

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