Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 389 · 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 3 + 3 ÷ 6 − 14?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 8 + 8 − 12?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 3 − 15 × 11?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 7 × 9 + 9?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 20 + 4 ÷ 10?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 9 + 17 × 17?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 15 ÷ 17 − 6?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 5 × 4 − 4?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 14 + 2 − 6?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 17 × 2 − 15?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 20 ÷ 17 + 17?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 2 − 12 ÷ 3?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 10 − 5 + 20?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 2 + 10 − 20?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 15 − 16 + 18?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 6 ÷ 15 − 15?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 9 × 3 − 4?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 15 − 6 + 4?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 2 + 17 ÷ 9?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 13 − 16 ÷ 19?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 15 − 5 ÷ 3?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 20 − 11 × 14?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 4 + 20 × 2?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 10 − 6 ÷ 2?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 3 ÷ 8 − 6?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 3 − 12 + 14?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 6 ÷ 6 × 5?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 5 ÷ 10 + 7?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 18 − 4 × 9?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 15 ÷ 8 + 20?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 13 ÷ 3 − 18?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 12 × 19 ÷ 14?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 7 − 7 × 20 ÷ 8?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 3 − 14 ÷ 13?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 15 ÷ 6 × 6?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 5 ÷ 19 + 17?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 20 + 11 ÷ 6?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 20 ÷ 8 + 13?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 4 ÷ 20 − 5?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 6 ÷ 18 − 14?

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