Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 715 · 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 17 ÷ 17 + 7 − 4?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 12 − 15 + 18?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 16 ÷ 17 − 3?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 14 − 4 × 4?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 19 + 10 − 18?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 11 + 7 ÷ 2?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 8 − 2 × 2?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 18 ÷ 10 + 2?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 3 + 5 × 9?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 16 − 18 × 18?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 16 + 3 ÷ 14?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 6 − 15 ÷ 20?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 5 ÷ 17 + 11?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 5 − 5 ÷ 7?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 11 + 14 × 14?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 2 × 18 ÷ 15?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 5 − 5 ÷ 14?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 8 ÷ 10 × 9?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 3 − 7 × 8?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 19 − 5 + 13?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 15 − 20 × 3?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 19 × 10 + 9?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 6 + 3 × 14?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 14 ÷ 16 + 15?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 3 − 7 ÷ 12?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 2 × 5 + 10?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 17 ÷ 6 + 19?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 14 − 7 ÷ 10?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 8 − 8 + 13?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 4 + 12 − 10?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 14 + 4 − 6?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 7 ÷ 5 − 8?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 20 + 2 − 12?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 11 × 3 ÷ 13?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 9 ÷ 7 − 7?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 9 ÷ 5 + 3?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 3 ÷ 17 × 3?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 7 − 10 ÷ 9?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 12 ÷ 8 × 10?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 11 + 2 − 17?

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