Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 718 · 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 6 + 5 ÷ 16 × 2?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 2 ÷ 8 × 16?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 2 × 19 ÷ 19?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 16 ÷ 8 − 17?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 16 ÷ 20 − 18?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 3 × 5 − 20?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 14 × 2 + 2?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 5 + 9 ÷ 2?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 2 ÷ 3 − 14?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 5 ÷ 15 − 5?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 17 × 3 + 7?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 7 + 19 ÷ 6?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 11 − 15 ÷ 7?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 5 × 5 − 7?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 12 − 12 × 3?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 8 + 8 − 18?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 5 − 16 ÷ 18?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 16 × 15 ÷ 2?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 18 ÷ 6 − 3?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 11 × 4 − 12?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 9 − 15 + 16?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 14 × 5 − 3?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 10 − 10 + 17?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 12 − 2 + 2?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 15 ÷ 6 + 15?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 18 − 12 + 3?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 12 ÷ 17 − 2?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 17 − 17 ÷ 9?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 2 ÷ 7 + 9?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 19 − 15 ÷ 19?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 2 ÷ 19 + 19?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 19 × 19 ÷ 12?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 7 ÷ 17 − 12?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 9 + 6 × 5?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 ÷ 12 × 20?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 4 × 2 + 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 7 ÷ 6 + 9?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 20 × 12 − 17?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 8 + 20 ÷ 13?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 9 + 13 ÷ 15?

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