Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 609 · 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 − 3 ÷ 5 + 5?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 14 + 14 × 10?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 5 × 5 − 14?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 20 + 6 − 4?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 9 ÷ 12 × 19?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 12 ÷ 11 × 2?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 9 + 11 − 15?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 7 + 8 ÷ 5?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 3 − 5 ÷ 3?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 15 ÷ 5 + 4?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 2 ÷ 2 − 2?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 3 × 15 + 2?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 19 ÷ 8 − 3?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 18 − 18 × 15?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 15 + 12 ÷ 16?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 20 − 14 × 20?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 14 − 7 × 14?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 19 ÷ 14 × 2?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 18 × 13 ÷ 19?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 13 + 12 ÷ 20?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 12 − 12 ÷ 12?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 8 × 2 ÷ 13?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 10 ÷ 14 × 3?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 14 + 7 ÷ 4?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 3 + 11 ÷ 17?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 15 ÷ 13 − 5?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 15 ÷ 6 × 3?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 8 + 5 − 20?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 7 ÷ 13 + 6?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 10 × 17 ÷ 5?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 2 ÷ 18 × 6?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 6 × 5 ÷ 7?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 2 × 12 + 3?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 8 − 16 ÷ 6?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 17 + 4 − 13?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 3 − 18 × 18?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 16 × 2 ÷ 12?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 14 + 18 ÷ 5?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 15 + 4 × 4?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 8 − 8 ÷ 18?

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