Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 836 · 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 12 + 6 ÷ 17 − 2?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 19 ÷ 5 + 20?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 2 + 4 − 20?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 2 × 3 + 12?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 6 × 17 ÷ 10?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 17 ÷ 7 + 20?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 5 − 20 + 5?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 3 ÷ 5 × 16?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 20 + 17 × 14?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 5 − 13 + 18?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 14 − 2 ÷ 5?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 14 ÷ 17 + 3?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 16 + 8 ÷ 3?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 20 − 20 ÷ 5?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 8 × 7 ÷ 18?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 11 × 2 − 19?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 6 − 17 ÷ 15?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 10 + 6 ÷ 17?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 19 × 19 + 12?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 2 − 17 ÷ 13?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 9 × 3 − 12?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 15 − 16 ÷ 17?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 × 17 − 20 + 3?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 3 ÷ 9 − 15?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 6 × 7 ÷ 9?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 2 × 6 ÷ 6?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 14 × 17 + 20?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 11 + 2 − 2?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 6 − 4 ÷ 7?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 20 + 4 ÷ 5?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 20 + 11 ÷ 14?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 7 × 4 ÷ 16?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 16 − 6 ÷ 3?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 3 + 19 × 16?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 13 + 2 × 10?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 14 × 7 + 2?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 5 + 8 ÷ 6?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 7 × 5 ÷ 10?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 6 ÷ 19 × 12?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 13 − 13 × 10?

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