Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 724 · 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 11 − 12 + 3 ÷ 11?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 2 ÷ 14 × 2?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 7 − 4 ÷ 2?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 20 + 8 × 9?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 3 − 10 ÷ 11?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 7 ÷ 10 × 14?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 14 − 18 ÷ 8?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 11 ÷ 19 × 6?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 8 ÷ 7 × 3?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 20 ÷ 5 + 9?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 10 × 12 − 3?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 8 ÷ 8 + 7?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 10 − 11 × 2?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 7 − 7 + 6?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 5 + 11 ÷ 13?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 17 − 17 + 8 × 19?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 14 × 7 ÷ 20?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 20 − 4 × 20?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 12 ÷ 9 × 13?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 20 × 4 − 15?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 9 + 9 × 9?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 2 × 6 ÷ 5?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 14 × 7 − 16?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 ÷ 13 + 7?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 6 ÷ 14 + 3?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 2 ÷ 20 − 20?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 20 − 19 ÷ 4?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 6 ÷ 8 + 13?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 9 ÷ 9 − 20?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 18 ÷ 3 − 4?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 15 + 2 × 15?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 4 + 6 ÷ 14?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 19 ÷ 10 − 18?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 12 × 13 ÷ 14?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 6 × 13 ÷ 15?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 19 − 6 × 6?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 8 − 8 + 7?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 3 × 2 ÷ 4?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 9 × 16 ÷ 17?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 8 − 11 × 9?

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