Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 590 · 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 18 − 17 × 14 ÷ 15?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 20 ÷ 15 + 9?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 19 × 17 − 17?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 14 × 12 ÷ 2?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 17 ÷ 20 × 15?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 9 − 12 + 18?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 15 ÷ 9 − 3?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 3 ÷ 17 + 13?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 8 + 6 × 11?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 4 + 3 − 12?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 12 ÷ 11 × 15?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 × 2 − 5 + 5?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 12 × 6 + 2?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 13 − 15 ÷ 13?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 16 − 6 ÷ 3?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 4 ÷ 9 − 2?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 10 − 20 + 6?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 3 ÷ 15 × 5?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 14 − 5 ÷ 14?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 × 5 ÷ 14 − 17?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 2 ÷ 5 − 12?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 19 × 13 ÷ 2?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 4 ÷ 6 + 4?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 6 − 15 ÷ 20?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 3 − 3 ÷ 12?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 ÷ 2 + 8?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 13 ÷ 9 × 13?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 18 ÷ 13 × 14?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 2 ÷ 6 × 14?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 20 ÷ 5 + 5?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 9 + 4 × 14?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 19 + 13 × 20?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 15 × 6 − 11?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 4 + 8 × 8?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 18 − 20 + 3?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 19 − 14 ÷ 12?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 18 ÷ 10 + 5?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 5 + 15 − 10?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 7 + 7 − 9?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 6 ÷ 15 + 15?

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