Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 749 · 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 16 − 14 + 16 ÷ 3?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 7 ÷ 12 × 18?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 20 − 16 + 14?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 9 ÷ 3 + 2?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 5 − 9 + 7?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 4 + 5 − 11?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 ÷ 9 + 2?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 4 + 2 − 15?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 4 × 15 ÷ 2?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 4 ÷ 14 + 14?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 2 × 13 ÷ 9?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 19 × 14 − 7?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 4 ÷ 19 − 3?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 15 − 14 + 10?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 6 − 7 ÷ 2?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 9 + 6 ÷ 15?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 5 − 8 ÷ 3?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 13 − 3 ÷ 19?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 6 + 16 ÷ 15?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 10 − 12 ÷ 16?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 4 + 4 × 6?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 20 ÷ 14 × 12?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 19 − 18 ÷ 8?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 20 − 10 ÷ 11?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 16 ÷ 8 × 6?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 16 ÷ 6 × 12?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 6 × 6 + 6?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 16 + 16 ÷ 2?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 3 ÷ 17 × 19?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 20 × 4 + 2?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 8 ÷ 13 × 11?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 16 × 18 ÷ 17?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 2 − 6 ÷ 18?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 20 − 15 × 12?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 18 × 6 − 8?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 13 × 10 ÷ 17?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 5 × 15 ÷ 17?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 2 ÷ 9 + 9?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 2 × 11 + 11?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 6 ÷ 7 × 7?

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