Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 840 · 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 15 − 15 × 14 ÷ 2?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 18 + 15 × 5?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 6 ÷ 15 + 6?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 16 − 8 ÷ 8?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 16 + 6 − 6?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 14 ÷ 6 + 13?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 7 − 4 ÷ 11?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 7 ÷ 17 + 8?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 8 ÷ 16 × 11?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 6 + 2 ÷ 10?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 18 − 9 ÷ 2?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 15 − 12 × 16?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 11 + 2 − 13?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 6 − 18 ÷ 16?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 2 ÷ 16 × 7?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 19 ÷ 20 × 3?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 8 ÷ 12 + 2?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 18 × 3 ÷ 6?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 10 ÷ 19 + 13?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 4 − 2 × 9?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 9 × 8 − 2?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 13 ÷ 2 × 9?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 9 × 3 + 4?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 8 − 16 ÷ 4?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 17 × 17 ÷ 16?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 12 ÷ 10 + 2?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 2 ÷ 13 + 12?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 7 ÷ 6 + 14?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 13 ÷ 3 + 18?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 7 × 2 ÷ 2?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 6 ÷ 14 + 12?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 5 × 11 + 14?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 4 ÷ 9 × 5?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 3 + 5 − 5?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 4 + 6 ÷ 6?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 11 − 10 × 15?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 9 + 20 × 6?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 12 + 4 × 2?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 3 ÷ 13 − 5?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 4 ÷ 17 × 8?

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