Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 758 · 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 − 11 ÷ 17 + 18?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 18 ÷ 9 + 2?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 5 − 4 ÷ 5?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 10 × 13 ÷ 4?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 4 × 20 ÷ 3?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 3 ÷ 15 − 3?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 20 + 2 ÷ 5?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 20 + 11 ÷ 4?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 3 + 4 ÷ 3?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 6 × 13 ÷ 4?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 5 + 9 ÷ 3?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 7 × 10 ÷ 20?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 2 ÷ 10 − 2?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 18 − 6 × 20?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 20 ÷ 13 × 13?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 2 − 6 × 16?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 15 × 7 ÷ 4?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 11 × 5 ÷ 12?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 9 + 14 ÷ 13?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 10 + 14 − 20?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 10 − 5 + 19?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 11 − 11 ÷ 12?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 6 − 2 + 5?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 × 6 − 20?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 3 + 7 ÷ 17?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 3 − 15 + 11?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 17 × 4 ÷ 3?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 15 ÷ 13 − 19?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 19 + 15 − 14?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 14 × 2 ÷ 3?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 15 − 19 ÷ 13?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 20 ÷ 5 × 17?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 14 × 20 − 15?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 10 × 7 + 6?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 10 × 12 ÷ 3?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 2 × 14 ÷ 5?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 20 × 13 ÷ 10?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 6 + 8 − 3?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 16 − 16 ÷ 18?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 19 ÷ 18 + 16?

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