Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 485 · 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 19 ÷ 6 − 8 × 8?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 20 × 4 ÷ 17?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 2 + 2 ÷ 17?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 20 − 14 × 12?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 3 × 2 ÷ 15?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 4 − 15 + 13?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 14 − 16 ÷ 11?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 2 ÷ 3 + 7?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 15 × 10 − 8?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 7 + 7 − 16?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 13 − 10 + 7?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 13 × 2 + 10?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 7 × 2 ÷ 13?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 18 − 16 + 9?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 × 10 − 20?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 20 − 19 ÷ 11?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 15 − 10 ÷ 12?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 20 − 2 + 18?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 14 − 16 ÷ 6?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 2 ÷ 18 × 5?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 15 + 10 ÷ 7?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 13 ÷ 19 × 7?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 4 ÷ 6 − 3?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 5 ÷ 5 × 7?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 16 + 8 × 15?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 17 − 5 + 6?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 13 − 13 × 14 + 5?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 12 × 7 − 6?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 14 × 14 + 9?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 15 + 15 ÷ 14?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 2 + 6 − 15?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 2 ÷ 13 − 16?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 12 × 18 + 3?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 15 ÷ 6 × 7?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 20 × 10 − 2?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 16 − 12 × 12?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 17 + 8 − 9?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 6 − 5 + 17?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 20 ÷ 8 + 5?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 7 − 12 + 19?

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