Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 125 · 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 11 ÷ 3 + 12 − 14?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 8 − 4 ÷ 3?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 12 − 4 × 6?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 4 + 19 × 17?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 8 × 9 ÷ 2?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 6 × 19 ÷ 15?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 6 + 12 − 6?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 7 ÷ 3 − 12?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 9 + 12 − 7?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 14 ÷ 20 + 20?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 18 × 5 + 7?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 10 + 2 × 13?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 2 × 2 − 9?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 10 + 14 ÷ 17?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 2 ÷ 5 − 6?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 14 ÷ 16 + 7?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 16 ÷ 2 − 20?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 12 − 3 × 20?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 19 × 2 ÷ 7?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 11 ÷ 11 − 19?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 11 ÷ 6 × 17?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 2 − 8 + 15?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 16 − 4 + 6?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 18 ÷ 2 − 3?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 3 − 20 + 11?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 12 ÷ 12 + 2?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 16 × 2 − 17?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 10 ÷ 15 × 15?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 17 × 12 ÷ 8?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 14 ÷ 14 − 7?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 18 − 11 × 18?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 9 ÷ 18 − 2?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 8 + 4 ÷ 15?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 14 − 9 + 7?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 5 − 3 ÷ 6?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 9 − 3 × 13?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 2 ÷ 15 × 2?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 11 ÷ 14 × 15?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 14 × 13 ÷ 15?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 10 + 17 × 4?

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