Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 725 · 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 18 ÷ 3 × 11 − 2?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 5 − 20 ÷ 14?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 6 − 6 ÷ 9?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 20 + 19 × 15?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 6 − 3 × 13?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 11 − 9 × 12?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 13 × 9 − 2?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 15 + 2 × 14?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 10 − 13 + 14?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 18 − 8 × 10?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 16 ÷ 5 × 11?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 20 ÷ 9 + 10?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 17 × 13 + 17?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 4 × 4 ÷ 2?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 6 + 5 − 3?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 16 + 5 ÷ 17?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 6 + 6 ÷ 2?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 5 − 6 ÷ 6?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 6 + 6 ÷ 13?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 3 ÷ 12 − 2?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 5 ÷ 9 + 10?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 5 − 4 + 10?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 19 − 5 + 10?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 9 − 8 × 6?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 11 − 13 + 18?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 11 + 11 − 11 ÷ 10?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 11 ÷ 13 − 14?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 11 − 5 + 7?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 13 × 7 + 4?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 3 × 9 ÷ 4?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 2 + 2 × 13 − 14?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 7 − 7 × 19?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 5 ÷ 7 × 7?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 4 + 8 ÷ 11?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 8 ÷ 5 × 2?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 18 × 12 ÷ 4?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 18 − 15 ÷ 2?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 10 ÷ 11 × 3?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 17 − 3 × 13?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 3 ÷ 19 + 6?

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