Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 108 · 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 20 − 10 ÷ 5 × 8?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 12 ÷ 11 × 8?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 4 + 17 ÷ 13?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 16 − 10 × 2?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 16 − 12 ÷ 3?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 19 × 16 ÷ 9?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 2 + 2 − 7 ÷ 12?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 4 ÷ 10 − 4?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 6 ÷ 2 + 18?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 20 − 5 × 6?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 6 ÷ 13 − 3?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 5 + 6 × 16?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 17 − 17 + 18 ÷ 4?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 3 × 10 ÷ 3?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 3 + 15 ÷ 16?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 18 + 6 − 18?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 10 ÷ 8 × 6?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 8 − 8 + 7?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 14 + 4 ÷ 18?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 18 + 6 − 14?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 7 ÷ 12 × 4?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 2 ÷ 10 × 18?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 2 ÷ 12 × 5?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 13 − 3 × 3?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 17 + 3 ÷ 5?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 16 + 20 ÷ 10?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 20 ÷ 17 × 18?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 2 − 8 ÷ 12?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 8 ÷ 9 + 9?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 13 × 18 + 6?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 10 + 11 − 11?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 6 ÷ 14 + 7?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 17 ÷ 15 × 5?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 6 ÷ 10 − 14?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 16 + 8 ÷ 16?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 11 + 16 × 4?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 2 + 10 ÷ 17?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 × 2 + 3 ÷ 3?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 12 ÷ 4 − 3?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 18 + 12 × 11?

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