Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 154 · 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 14 × 11 − 3 ÷ 4?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 13 ÷ 2 + 19?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 13 ÷ 18 − 3?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 3 × 9 ÷ 15?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 11 ÷ 14 − 14?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 2 + 14 ÷ 9?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 15 − 7 × 3?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 13 − 16 + 13?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 14 × 10 + 5?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 8 × 17 + 15?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 6 ÷ 18 × 8?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 12 + 10 × 8?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 5 × 9 ÷ 7?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 3 ÷ 3 × 4?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 6 − 3 × 14?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 3 ÷ 12 − 15?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 4 ÷ 20 − 5?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 7 × 14 − 14?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 15 − 10 × 8?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 11 − 10 ÷ 13?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 5 × 9 ÷ 14?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 4 × 4 ÷ 9?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 5 − 17 × 4?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 14 × 14 + 8?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 15 + 3 × 7?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 13 − 18 + 6?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 15 − 6 ÷ 7?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 20 − 12 ÷ 14?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 4 × 20 ÷ 8?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 4 + 2 ÷ 3?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 10 + 2 − 17?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 6 + 12 − 12?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 5 ÷ 11 + 11?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 16 − 2 × 4?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 10 × 14 ÷ 2?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 12 × 12 + 6?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 20 ÷ 13 − 11?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 7 ÷ 11 − 11?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 17 × 16 − 7?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 16 + 8 ÷ 9?

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