Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 604 · 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 − 2 + 13 ÷ 11?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 3 ÷ 13 − 4?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 3 − 2 ÷ 9?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 7 − 14 + 17?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 15 − 2 × 20?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 2 − 12 × 13?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 3 + 7 × 12?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 3 × 3 − 7?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 2 − 5 + 10?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 3 × 18 ÷ 6?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 16 ÷ 11 + 5?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 4 + 4 ÷ 14?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 8 × 3 ÷ 20?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 2 ÷ 8 + 17?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 2 + 2 ÷ 18?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 5 + 10 ÷ 7?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 5 − 4 + 12?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 18 ÷ 10 × 5?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 9 × 6 − 17?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 5 × 8 ÷ 20?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 3 − 3 ÷ 14?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 7 × 12 ÷ 12?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 2 − 15 × 14?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 12 ÷ 10 × 3?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 15 × 12 − 6?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 13 × 18 ÷ 4?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 19 − 11 ÷ 2?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 15 − 12 + 9?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 6 + 8 ÷ 20?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 20 − 2 × 8?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 2 ÷ 15 − 20?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 16 × 6 − 18?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 9 ÷ 19 + 19?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 × 9 − 15 + 17?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 3 − 11 × 4?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 18 − 5 + 7?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 13 ÷ 16 × 8?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 17 + 13 × 13?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 7 × 2 − 5?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 3 − 19 ÷ 6?

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