Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 293 · 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 12 ÷ 13 × 20 − 5?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 12 + 9 ÷ 14?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 17 + 11 × 17?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 4 + 20 × 3?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 8 − 10 ÷ 11?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 3 − 18 ÷ 6?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 4 ÷ 6 − 11?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 13 − 9 + 7?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 8 − 4 + 11?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 16 ÷ 18 + 2?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 5 ÷ 19 × 5?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 8 + 15 − 18?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 13 ÷ 15 + 15?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 18 + 10 × 5?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 16 × 3 ÷ 6?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 17 × 3 − 20?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 4 ÷ 3 × 5?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 15 + 16 × 12?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 9 ÷ 20 − 20?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 2 + 2 × 2 ÷ 20?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 7 ÷ 4 + 3?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 6 − 6 × 5?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 6 ÷ 11 + 11?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 11 + 18 × 9?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 15 + 3 ÷ 19?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 20 − 19 ÷ 8?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 10 × 9 + 12?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 2 × 8 + 2?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 7 − 17 ÷ 3?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 20 ÷ 13 × 3?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 10 × 19 − 5?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 16 × 9 − 10?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 4 − 3 × 3?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 11 − 20 ÷ 16?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 20 × 2 + 5?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 16 ÷ 14 × 19?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 5 − 8 ÷ 5?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 12 − 2 × 12?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 5 ÷ 18 − 2?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 6 + 3 ÷ 7?

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