Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 105 · 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 20 − 10 × 16 + 16?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 10 ÷ 16 − 20?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 15 − 7 × 3?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 6 ÷ 10 − 2?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 12 ÷ 4 × 13?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 2 × 2 ÷ 13?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 19 ÷ 13 × 6?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 14 + 7 × 2?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 7 − 5 ÷ 3?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 14 + 6 − 6?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 3 + 14 ÷ 16?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 5 × 7 ÷ 5?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 5 + 14 × 14?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 4 ÷ 3 − 15?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 2 × 2 − 5?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 3 × 16 + 6?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 12 + 16 × 13?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 12 ÷ 18 + 15?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 6 + 20 × 2?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 18 × 19 ÷ 20?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 14 ÷ 12 − 6?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 6 ÷ 12 − 19?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 15 × 18 ÷ 3?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 6 ÷ 2 × 12?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 4 − 20 ÷ 17?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 10 − 19 ÷ 11?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 4 ÷ 7 − 18?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 6 + 6 ÷ 10?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 11 − 6 + 4?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 6 ÷ 3 − 11?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 10 ÷ 6 − 5?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 15 ÷ 18 + 6?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 10 × 2 + 18?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 2 × 10 + 2?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 17 + 12 × 3?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 2 ÷ 11 + 15?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 19 ÷ 2 × 17?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 16 × 6 + 17?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 12 − 12 × 12?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 19 × 13 ÷ 2?

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