Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 917 · 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 9 ÷ 11 + 20 × 7?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 12 × 5 + 19?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 15 × 13 ÷ 11?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 2 ÷ 9 − 18?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 15 + 18 ÷ 20?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 2 ÷ 8 + 12?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 8 + 2 ÷ 8?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 5 − 15 + 11?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 13 ÷ 20 + 4?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 3 + 14 × 14?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 6 − 6 ÷ 14?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 18 ÷ 8 × 2?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 8 + 4 ÷ 3?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 12 + 16 × 3?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 8 + 3 − 2?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 7 + 19 ÷ 11?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 19 + 17 − 5?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 18 × 7 ÷ 17?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 6 + 3 ÷ 3?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 17 ÷ 8 + 8?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 17 × 15 ÷ 11?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 14 ÷ 4 × 4?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 13 − 3 + 13?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 7 ÷ 5 + 7?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 15 − 5 ÷ 17?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 4 ÷ 15 × 8?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 6 − 20 ÷ 9?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 19 + 19 ÷ 11?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 2 ÷ 7 + 18?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 12 − 3 × 14?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 8 ÷ 6 + 9?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 18 − 8 ÷ 8?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 6 ÷ 6 × 8?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 7 − 16 ÷ 14?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 18 ÷ 10 + 10?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 16 + 2 ÷ 14?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 12 ÷ 18 × 6?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 8 + 9 × 6?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 11 − 10 + 7?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 19 × 6 + 20?

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