Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 665 · 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 × 8 − 8 + 6?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 12 × 2 ÷ 9?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 9 ÷ 13 × 15?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 9 + 3 − 13 ÷ 16?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 7 + 7 − 8?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 20 − 12 ÷ 11?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 2 × 17 ÷ 13?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 7 + 4 × 17?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 18 − 6 + 6?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 17 × 2 − 2?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 4 ÷ 19 × 9?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 15 + 18 ÷ 9?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 14 ÷ 5 + 16?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 9 ÷ 2 − 6?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 12 − 20 + 15?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 17 + 17 − 12 ÷ 3?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 18 − 17 + 4?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 2 − 4 × 8?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 9 − 12 ÷ 3?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 12 − 2 ÷ 18?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 11 ÷ 16 − 13?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 16 × 17 − 4?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 5 × 5 − 19?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 19 × 20 ÷ 20?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 2 × 8 − 17?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 20 + 12 ÷ 18?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 4 + 9 − 12?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 5 − 7 × 7?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 16 ÷ 6 × 14?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 18 × 9 + 7?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 6 + 15 × 5?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 13 + 13 − 6?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 7 − 2 × 20?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 10 ÷ 12 × 2?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 8 + 4 ÷ 3?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 3 − 7 ÷ 10?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 17 + 3 × 14?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 20 ÷ 2 − 18?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 6 × 3 + 11?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 18 + 2 ÷ 5?

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