Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 988 · 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 11 − 6 ÷ 5 × 12?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 3 × 15 ÷ 6?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 8 + 9 − 6?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 9 × 14 − 10?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 18 − 18 ÷ 7?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 4 ÷ 2 × 14?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 2 ÷ 16 − 8?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 5 × 12 − 6?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 17 × 12 ÷ 13?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 3 + 18 − 19?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 8 ÷ 2 × 8?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 8 − 12 + 12?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 12 + 7 − 16?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 3 ÷ 6 − 14?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 13 − 19 ÷ 4?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 10 − 3 + 3?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 10 + 2 × 20?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 12 − 11 + 6?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 8 ÷ 20 × 4?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 7 ÷ 11 × 15?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 7 − 20 ÷ 9?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 20 ÷ 15 − 4?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 12 × 3 + 14?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 2 ÷ 12 + 11?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 11 − 14 × 7?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 18 + 14 ÷ 3?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 9 + 14 ÷ 14?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 15 − 17 × 15?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 6 ÷ 5 + 3?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 3 × 20 − 12?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 8 ÷ 16 − 6?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 3 − 10 ÷ 8?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 11 × 10 ÷ 7?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 8 − 8 + 3?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 19 − 4 × 19?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 16 ÷ 14 × 7?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 10 ÷ 11 × 15?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 14 × 14 − 11?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 20 × 5 + 3?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 17 × 3 + 8?

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