Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 428 · 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 4 − 16 + 12 ÷ 2?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 14 + 7 × 15?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 6 ÷ 15 × 19?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 14 ÷ 12 × 9?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 3 ÷ 2 × 7?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 4 × 15 + 17?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 7 − 4 + 7?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 × 2 ÷ 7?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 15 − 19 × 8?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 15 × 10 + 6?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 19 ÷ 6 × 4?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 16 − 6 + 3?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 17 + 17 − 9 × 9?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 16 + 2 ÷ 9?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 7 − 16 × 20?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 13 ÷ 9 × 10?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 17 − 15 + 13?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 11 − 19 + 16?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 3 ÷ 20 + 2?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 11 + 18 ÷ 15?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 10 × 17 + 10?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 7 ÷ 12 × 6?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 6 − 7 ÷ 13?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 9 − 20 ÷ 20?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 13 + 13 × 19?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 13 ÷ 16 × 16?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 15 + 2 ÷ 7?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 20 − 17 ÷ 20?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 20 ÷ 11 × 8?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 3 × 6 − 2?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 4 + 20 × 2?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 17 + 19 × 7?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 10 ÷ 16 − 4?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 15 + 8 − 3?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 13 − 13 + 9 ÷ 4?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 8 − 12 ÷ 13?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 12 − 2 × 12?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 3 − 3 ÷ 7 × 6?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 10 + 15 − 17?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 7 + 11 ÷ 18?

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