Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 111 · 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 12 + 12 ÷ 4 − 2?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 11 − 2 + 19?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 6 + 12 − 6?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 7 ÷ 16 − 3?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 12 − 11 + 2?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 6 ÷ 15 + 5?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 9 + 12 × 12?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 10 + 5 ÷ 11?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 16 ÷ 17 + 19?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 16 × 9 − 9?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 14 − 9 ÷ 11?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 10 + 10 − 14?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 9 ÷ 4 − 14?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 3 − 11 × 3?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 7 + 3 ÷ 17?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 20 ÷ 2 − 18?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 14 ÷ 13 + 3?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 2 + 4 − 3?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 2 ÷ 3 − 5?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 6 − 7 + 3?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 6 + 19 ÷ 17?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 × 17 − 15 + 2?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 8 × 3 ÷ 2?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 2 ÷ 4 × 4?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 3 − 12 ÷ 12?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 17 + 2 × 16?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 × 3 ÷ 16 − 5?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 12 − 11 + 6?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 9 × 3 + 11?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 12 + 3 ÷ 5?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 10 ÷ 16 × 16?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 × 16 ÷ 7?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 17 + 16 − 4?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 4 × 17 + 8?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 5 ÷ 15 − 15?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 14 ÷ 4 + 8?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 20 + 4 × 4?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 14 − 5 ÷ 8?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 9 ÷ 7 × 13?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 19 − 17 ÷ 16?

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