Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 394 · 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 8 × 5 ÷ 6 + 13?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 17 ÷ 15 + 15?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 6 × 2 − 6?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 14 ÷ 9 × 7?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 12 − 15 + 2?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 3 ÷ 16 + 12?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 15 × 5 − 16?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 13 ÷ 14 − 12?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 4 + 6 × 8?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 3 + 5 ÷ 2?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 2 ÷ 15 × 2?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 3 ÷ 4 − 2?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 13 ÷ 6 − 17?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 10 + 6 ÷ 2?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 4 × 4 − 10?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 13 − 9 × 7?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 19 + 4 × 2?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 8 ÷ 2 − 9?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 13 + 2 × 5?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 4 ÷ 4 × 18?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 3 + 17 ÷ 7?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 8 − 3 ÷ 3?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 19 ÷ 7 + 10?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 9 × 6 − 3?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 2 + 17 ÷ 2?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 17 ÷ 9 + 11?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 5 × 6 − 6?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 3 − 14 × 17?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 17 − 2 ÷ 4?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 19 − 7 ÷ 7?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 11 ÷ 5 + 18?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 3 ÷ 6 × 15?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 7 − 6 ÷ 13?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 4 ÷ 13 + 13?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 20 × 4 − 4?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 14 + 9 × 13?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 18 × 18 ÷ 12?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 19 + 19 × 16 − 8?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 18 + 13 × 13?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 2 ÷ 16 × 20?

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