Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 512 · 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 − 3 × 6 ÷ 18?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 5 − 19 ÷ 2?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 9 − 6 ÷ 8?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 10 + 6 ÷ 8?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 8 − 2 ÷ 17?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 20 + 14 ÷ 20?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 9 × 4 ÷ 7?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 8 − 20 × 16?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 4 + 20 × 11?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 13 + 13 − 4?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 14 ÷ 9 − 13?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 2 × 14 − 13?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 19 − 18 ÷ 10?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 3 + 2 × 7?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 4 × 2 + 19?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 9 ÷ 6 − 5?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 4 − 4 + 11?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 6 + 18 × 12?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 8 + 6 × 6?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 10 × 20 ÷ 3?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 5 × 14 ÷ 3?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 3 ÷ 12 + 13?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 15 − 11 ÷ 4?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 12 × 14 + 14?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 7 ÷ 4 × 18?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 12 − 3 + 2?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 20 − 2 + 4?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 14 + 16 − 4?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 12 + 18 × 7?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 13 ÷ 12 × 8?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 5 − 5 × 15?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 6 − 6 + 6?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 9 − 9 ÷ 5?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 6 ÷ 10 − 5?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 14 + 16 × 8?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 11 ÷ 20 × 19?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 17 ÷ 18 × 13?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 13 × 6 ÷ 4?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 19 + 4 ÷ 4?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 2 × 19 + 19?

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