Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 102 · 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 2 − 6 ÷ 17 + 5?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 7 × 14 − 3?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 10 − 4 + 8?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 16 ÷ 4 + 3?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 14 × 14 ÷ 4?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 7 ÷ 16 + 7?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 14 + 14 − 4?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 6 ÷ 13 × 6?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 16 + 12 ÷ 15?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 2 ÷ 6 + 6?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 15 × 6 − 20?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 6 − 2 ÷ 14?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 6 + 6 − 15?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 6 − 5 × 3?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 12 × 20 ÷ 14?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 4 × 6 ÷ 12?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 11 ÷ 16 × 8?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 16 − 13 + 8?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 2 − 9 ÷ 13?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 6 + 9 ÷ 9?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 4 × 2 ÷ 13?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 19 × 5 − 18?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 20 + 6 − 8?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 7 ÷ 11 + 3?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 4 − 10 ÷ 16?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 13 + 2 ÷ 16?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 12 − 4 + 13?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 13 × 2 − 8?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 14 + 3 × 4?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 9 × 16 + 4?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 3 + 14 − 16?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 2 − 18 + 3?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 8 − 12 × 6?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 20 + 14 × 14?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 10 × 11 ÷ 4?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 17 × 14 + 19?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 4 × 16 + 8?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 3 ÷ 6 + 7?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 3 ÷ 15 − 8?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 20 + 4 × 3?

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