Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 815 · 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 2 ÷ 10 + 18 − 12?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 18 ÷ 16 − 8?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 3 × 6 − 6?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 4 × 2 + 5?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 5 + 7 ÷ 18?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 2 − 5 + 4?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 19 − 7 × 7?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 14 × 7 + 11?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 9 + 17 − 4?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 4 ÷ 18 + 14?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 7 + 10 − 5?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 19 ÷ 19 − 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 5 + 5 ÷ 16?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 12 × 9 ÷ 20?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 20 − 10 ÷ 15?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 3 × 20 ÷ 7?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 3 − 7 × 20?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 13 + 19 ÷ 6?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 14 × 4 − 17?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 6 × 3 − 10?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 19 ÷ 18 − 8?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 2 ÷ 17 + 20?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 6 + 6 × 2?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 2 + 19 ÷ 8?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 13 ÷ 20 × 20?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 4 + 17 × 10?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 14 × 13 − 5?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 6 × 4 − 4?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 16 − 20 × 18?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 6 × 9 ÷ 9?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 11 + 5 × 3?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 11 − 17 × 17?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 4 + 20 ÷ 14?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 15 − 5 + 6?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 13 × 14 − 2?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 14 × 2 ÷ 16?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 14 ÷ 9 + 3?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 13 + 15 − 13?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 6 − 12 + 5?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 19 − 19 + 19?

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