Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 155 · 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 8 × 9 − 9 + 9?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 12 × 2 ÷ 9?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 12 × 3 + 16?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 10 ÷ 13 + 6?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 19 ÷ 10 + 7?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 2 + 10 ÷ 19?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 7 − 20 × 20?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 18 × 8 ÷ 7?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 10 − 8 ÷ 4?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 4 + 7 × 14?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 5 ÷ 20 − 6?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 13 ÷ 20 × 11?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 12 + 16 − 6?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 10 − 2 ÷ 20?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 6 ÷ 7 − 19?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 18 ÷ 19 + 18?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 4 − 14 ÷ 9?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 4 × 6 ÷ 2?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 6 ÷ 18 + 11?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 14 ÷ 7 + 4?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 10 − 10 + 12?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 2 ÷ 13 × 2?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 18 × 7 ÷ 15?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 11 × 17 ÷ 7?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 18 × 3 + 9?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 20 × 7 ÷ 9?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 8 − 17 ÷ 18?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 15 ÷ 3 × 13?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 20 + 5 ÷ 17?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 20 ÷ 5 × 4?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 20 − 20 ÷ 18?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 2 × 5 ÷ 2?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 2 × 2 + 4?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 9 − 3 ÷ 17?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 8 + 15 − 13?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 9 + 7 × 18?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 16 + 4 − 8?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 14 ÷ 6 × 6?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 16 − 8 + 10?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 ÷ 15 × 3?

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