Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 46 · 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 5 − 9 + 15 ÷ 18?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 11 ÷ 11 − 13?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 10 ÷ 6 × 6?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 2 × 3 ÷ 16?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 15 ÷ 3 × 13?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 12 ÷ 12 × 3?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 2 ÷ 3 + 18?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 17 + 15 − 11?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 × 17 ÷ 8?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 6 − 2 × 3?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 20 + 5 ÷ 4?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 2 − 4 × 7?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 12 ÷ 9 × 6?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 20 × 12 ÷ 9?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 10 − 10 ÷ 18?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 10 ÷ 8 × 18?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 20 + 4 × 10?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 9 + 18 × 2?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 7 ÷ 13 × 14?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 19 + 12 × 7?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 20 × 6 ÷ 20?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 12 × 17 ÷ 5?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 12 × 6 + 5?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 15 ÷ 2 × 4?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 3 ÷ 9 − 12?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 3 × 9 − 9?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 9 − 19 ÷ 3?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 14 − 7 × 4?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 14 ÷ 17 × 5?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 6 ÷ 9 + 9?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 9 × 5 ÷ 20?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 10 ÷ 2 − 2?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 7 + 7 − 2?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 19 × 4 ÷ 11?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 3 ÷ 19 + 2?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 18 + 18 × 7?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 3 ÷ 6 + 13?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 13 + 8 × 17?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 9 ÷ 8 + 6?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 5 × 3 ÷ 13?

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