Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 911 · 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 5 − 5 + 19 ÷ 8?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 4 ÷ 12 × 9?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 20 − 6 + 4?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 7 − 12 × 18?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 16 × 10 ÷ 5?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 20 + 3 × 7?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 6 + 4 × 20?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 16 ÷ 15 − 3?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 11 + 7 − 5?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 13 ÷ 14 × 15?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 4 ÷ 8 × 4?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 18 × 12 + 15?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 14 ÷ 7 − 5?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 4 − 2 × 5?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 8 × 16 ÷ 12?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 5 × 14 + 14?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 3 ÷ 20 + 16?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 2 ÷ 6 − 3?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 14 − 5 × 7?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 2 − 9 × 12?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 19 ÷ 7 − 7?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 14 + 2 ÷ 17?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 7 + 9 − 3?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 20 × 12 ÷ 14?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 18 + 8 ÷ 17?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 9 − 14 ÷ 6?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 8 + 17 ÷ 19?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 6 − 2 ÷ 15?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 12 × 17 − 14?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 9 × 18 ÷ 19?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 5 ÷ 18 + 3?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 5 × 6 + 6?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 20 ÷ 14 + 6?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 4 × 18 + 20?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 2 + 5 × 2?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 12 ÷ 12 + 4?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 9 × 10 + 4?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 11 ÷ 20 × 17?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 12 − 4 ÷ 5?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 7 + 18 × 18?

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