Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 871 · 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 18 ÷ 16 + 20 − 20?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 20 × 2 ÷ 6?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 16 ÷ 17 + 13?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 9 − 16 ÷ 5?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 8 + 15 ÷ 19?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 12 + 4 ÷ 12?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 5 ÷ 3 × 10?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 12 − 4 + 4?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 14 − 19 × 13?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 19 − 17 ÷ 14?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 14 × 11 + 19?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 14 × 18 − 2?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 17 × 4 ÷ 9?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 18 + 16 − 9?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 14 − 15 × 18?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 17 ÷ 16 − 6?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 8 + 2 − 18?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 13 × 2 ÷ 3?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 14 − 14 × 14?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 11 − 11 ÷ 14?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 6 + 10 − 10?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 17 × 5 ÷ 4?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 14 ÷ 15 + 11?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 8 ÷ 15 × 3?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 7 − 7 ÷ 5?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 12 × 4 − 3?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 12 + 6 − 11?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 9 × 12 − 6?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 12 + 8 − 2?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 13 ÷ 11 + 6?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 3 ÷ 17 − 13?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 18 − 8 ÷ 20?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 2 × 5 − 16?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 2 − 6 + 7?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 12 ÷ 14 − 19?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 10 ÷ 17 × 6?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 18 − 3 × 3?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 6 × 12 − 12?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 19 ÷ 2 × 5?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 8 − 8 × 16?

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