Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 786 · 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 5 + 8 ÷ 13 − 12?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 10 ÷ 9 + 9?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 2 ÷ 3 − 7?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 17 + 9 × 16?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 3 − 14 ÷ 5?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 20 − 9 + 15?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 14 ÷ 6 × 12?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 15 × 3 ÷ 10?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 3 ÷ 7 × 19?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 5 × 16 − 20?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 7 × 7 + 3?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 12 ÷ 13 − 2?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 20 + 2 × 2?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 8 ÷ 6 × 17?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 3 − 4 ÷ 4?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 8 × 5 ÷ 19?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 5 × 5 − 5?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 9 × 3 + 10?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 4 − 5 × 4?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 19 + 10 ÷ 18?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 3 − 12 ÷ 16?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 2 ÷ 15 + 5?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 20 + 2 × 2?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 18 − 13 + 13?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 3 ÷ 6 + 8?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 4 ÷ 17 × 11?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 12 + 2 ÷ 9?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 19 + 19 − 4?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 5 ÷ 4 − 5?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 18 ÷ 15 + 6?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 14 ÷ 2 × 8?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 10 + 5 ÷ 17?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 15 ÷ 2 × 14?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 15 + 5 × 2?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 15 − 4 × 4?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 3 ÷ 20 × 12?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 10 − 10 × 10?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 10 − 8 + 5?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 16 ÷ 18 × 16?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 3 ÷ 4 − 13?

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