Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 280 · 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 2 − 3 ÷ 12 × 12?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 13 + 9 × 4?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 6 − 20 × 19?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 6 ÷ 9 × 7?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 2 − 14 + 14?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 19 − 16 × 2?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 5 + 9 − 15?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 18 − 8 + 2?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 14 + 12 × 6?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 19 × 19 + 8?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 17 ÷ 4 − 20?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 12 − 6 × 5?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 15 − 12 ÷ 6?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 15 ÷ 11 × 18?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 3 − 3 + 6 × 20?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 8 × 8 − 15?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 8 ÷ 10 + 5?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 16 − 9 ÷ 14?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 7 − 7 ÷ 12?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 12 ÷ 4 − 10?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 4 × 14 ÷ 3?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 10 × 12 − 2?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 4 ÷ 2 × 3?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 6 × 20 + 2?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 5 − 13 + 16?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 6 + 5 × 14?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 6 − 2 × 11?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 3 ÷ 13 − 4?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 16 + 2 × 6?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 18 − 15 ÷ 9?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 14 − 14 ÷ 20?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 20 ÷ 2 × 13?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 14 × 7 − 2?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 7 × 14 − 14?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 5 ÷ 15 + 15?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 9 − 12 × 12?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 3 × 17 + 16?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 3 × 7 ÷ 15?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 10 ÷ 9 + 15?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 17 × 19 ÷ 16?

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