Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 95 · 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 6 − 15 ÷ 2 × 12?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 16 ÷ 3 + 19?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 5 + 3 × 4?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 5 − 3 ÷ 9?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 4 ÷ 17 − 12?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 9 + 12 ÷ 9?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 13 ÷ 15 − 12?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 4 ÷ 9 − 6?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 20 + 12 × 17?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 6 + 10 − 15?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 17 − 9 ÷ 20?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 15 + 3 ÷ 10?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 8 × 14 ÷ 9?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 16 − 5 × 17?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 8 × 14 + 14?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 7 × 8 + 8?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 − 12 × 16?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 11 ÷ 5 × 13?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 15 × 13 ÷ 7?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 16 − 17 ÷ 9?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 11 × 17 − 6?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 14 − 17 × 2?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 2 + 14 ÷ 9?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 3 − 11 ÷ 9?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 18 ÷ 14 − 14?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 10 ÷ 18 × 11?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 4 × 3 ÷ 4?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 5 + 14 ÷ 3?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 16 + 14 ÷ 5?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 2 ÷ 18 × 4?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 10 ÷ 10 + 20?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 18 − 14 × 14?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 13 − 2 × 9?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 7 − 6 + 3?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 9 × 3 − 13?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 14 + 11 × 15?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 10 − 4 ÷ 3?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 2 − 19 + 10?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 2 − 11 ÷ 16?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 14 ÷ 7 − 12?

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