Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 74 · 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 3 × 3 − 13 ÷ 18?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 12 − 12 ÷ 9?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 12 ÷ 3 − 17?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 10 ÷ 13 × 9?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 16 ÷ 13 − 5?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 14 × 8 ÷ 5?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 3 × 3 + 3?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 6 × 16 ÷ 13?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 2 + 6 × 3?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 16 − 8 ÷ 9?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 14 ÷ 6 × 11?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 3 − 13 ÷ 13?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 9 + 14 − 2?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 5 + 8 − 5?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 6 × 3 ÷ 13?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 4 + 2 ÷ 13?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 8 + 10 − 11?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 15 ÷ 9 + 3?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 18 − 4 ÷ 17?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 6 − 2 × 11?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 16 ÷ 15 + 9?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 20 × 3 − 4?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 12 ÷ 13 − 16?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 15 ÷ 15 − 15?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 20 × 19 ÷ 4?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 ÷ 17 × 6?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 20 × 12 − 12?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 8 − 15 + 10?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 15 − 16 × 6?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 8 − 6 × 18?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 20 × 12 ÷ 2?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 2 + 2 × 6?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 9 + 15 ÷ 16?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 9 + 17 × 2?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 10 × 10 ÷ 10?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 12 + 6 − 4?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 15 + 5 × 8?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 10 + 9 − 2?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 12 − 2 + 11?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 15 + 15 ÷ 8?

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