Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 358 · 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 14 ÷ 19 − 16 + 13?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 2 × 18 − 9?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 16 − 4 + 16?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 17 + 11 × 4?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 4 × 20 ÷ 2?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 18 − 2 × 7?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 2 ÷ 12 × 14?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 6 × 6 ÷ 16?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 8 − 2 ÷ 17?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 5 × 13 ÷ 15?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 3 × 3 ÷ 9?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 10 + 8 − 19?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 7 − 2 ÷ 19?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 4 + 16 − 16?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 10 × 18 − 3?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 16 + 2 × 3?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 2 ÷ 4 + 13?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 20 × 2 − 15?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 20 + 11 − 9?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 4 × 14 ÷ 4?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 10 + 19 × 6?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 6 × 16 ÷ 7?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 3 − 14 + 20?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 3 − 17 × 20?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 11 − 6 ÷ 12?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 19 ÷ 8 × 2?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 10 ÷ 3 + 5?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 6 ÷ 5 − 13?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 18 + 20 ÷ 14?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 19 ÷ 12 − 2?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 4 − 6 × 12?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 2 × 10 − 9?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 18 × 5 + 6?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 7 + 14 − 4?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 11 + 18 ÷ 10?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 12 − 4 ÷ 3?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 3 × 3 + 6?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 13 − 12 ÷ 4?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 9 − 18 × 7?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 20 ÷ 12 − 3?

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