Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 92 · 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 3 ÷ 20 + 4 − 4?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 4 ÷ 15 − 15?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 5 + 13 × 2?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 12 − 8 + 5?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 4 ÷ 15 × 2?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 20 ÷ 14 − 13?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 10 − 15 + 7?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 19 ÷ 2 + 11?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 19 − 8 + 2?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 19 ÷ 18 + 17?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 4 + 6 × 3?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 11 ÷ 13 − 19?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 20 + 20 − 20?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 8 − 2 × 16?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 7 × 6 − 6?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 12 + 12 − 16?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 14 ÷ 19 − 2?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 4 − 16 × 9?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 15 ÷ 5 − 8?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 18 ÷ 10 − 15?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 10 − 6 + 13?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 6 × 18 ÷ 10?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 3 − 2 ÷ 3?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 7 − 20 + 20?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 8 + 9 − 8?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 7 − 12 + 5?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 19 − 8 ÷ 13?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 2 ÷ 13 × 10?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 8 + 12 × 5?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 18 − 9 ÷ 19?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 4 − 11 + 12?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 3 ÷ 4 × 7?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 10 − 2 × 3?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 18 × 2 ÷ 15?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 13 + 9 ÷ 17?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 12 − 15 × 18?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 15 ÷ 3 + 3?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 3 + 7 × 5?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 20 × 9 − 12?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 11 ÷ 9 × 9?

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