Symbol Substitution Worksheet

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

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