Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 64 · 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 5 + 8 ÷ 17 × 5?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 17 ÷ 8 + 20?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 7 − 5 + 15?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 11 × 7 ÷ 3?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 8 ÷ 18 + 6?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 6 + 2 × 9?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 8 ÷ 4 + 14?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 17 − 20 + 13?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 2 ÷ 9 + 11?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 14 − 3 × 14?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 14 × 17 ÷ 6?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 16 − 15 + 20?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 6 + 4 ÷ 11?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 6 − 19 × 2?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 2 ÷ 10 + 11?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 12 − 2 + 20?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 16 × 4 − 3?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 10 − 6 × 10?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 5 ÷ 11 + 16?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 3 + 16 − 2?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 17 ÷ 18 − 18?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 5 − 10 × 12?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 2 × 2 − 19?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 4 − 2 × 4?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 5 + 18 ÷ 5?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 7 − 6 + 2?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 12 + 19 ÷ 19?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 15 ÷ 12 × 9?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 3 × 20 ÷ 3?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 9 + 4 × 11?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 20 × 5 − 5?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 9 + 6 × 20?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 7 + 6 − 14?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 6 × 9 ÷ 12?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 2 × 18 ÷ 4?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 2 + 18 × 2?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 4 × 5 + 13?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 13 × 10 + 5?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 8 ÷ 16 + 13?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 6 ÷ 4 − 19?

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