Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 201 · 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 17 + 16 − 5 ÷ 17?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 2 ÷ 3 − 18?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 19 ÷ 12 × 16?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 3 × 10 ÷ 3?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 2 ÷ 2 + 17?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 20 − 14 ÷ 2?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 17 × 20 − 2?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 12 × 4 + 5?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 13 + 15 ÷ 5?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 17 ÷ 16 + 19?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 17 × 17 ÷ 14?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 4 − 20 + 15?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 16 − 14 + 6?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 12 − 19 + 4?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 14 − 16 + 12?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 4 + 9 ÷ 4?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 19 + 10 ÷ 20?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 13 + 18 ÷ 12?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 7 × 9 ÷ 3?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 15 ÷ 4 + 4?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 10 + 12 ÷ 18?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 11 × 5 − 3?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 18 − 6 ÷ 20?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 7 − 10 + 6?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 8 + 6 ÷ 14?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 9 ÷ 6 + 15?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 2 + 9 ÷ 2?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 11 ÷ 3 + 11?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 14 − 7 × 20?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 4 − 20 + 6?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 7 − 18 ÷ 18?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 16 − 6 + 5?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 10 ÷ 4 − 4?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 4 ÷ 4 − 2?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 15 ÷ 17 × 15?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 17 + 20 × 16?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 12 ÷ 12 + 8?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 18 ÷ 15 + 6?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 10 + 16 × 2?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 7 × 15 ÷ 5?

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