Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 717 · 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 20 × 14 ÷ 12 + 4?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 13 × 5 + 14?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 18 + 3 ÷ 16?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 5 ÷ 14 + 13?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 18 + 10 × 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 ÷ 3 + 5?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 12 × 5 ÷ 5?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 20 × 4 ÷ 11?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 12 × 9 + 2?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 8 + 12 ÷ 6?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 4 ÷ 13 + 6?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 11 × 9 + 6?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 15 − 18 ÷ 11?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 6 ÷ 2 + 17?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 9 + 9 ÷ 13?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 4 + 19 ÷ 3?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 9 + 4 × 14?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 10 ÷ 2 + 7?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 7 + 19 − 7?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 9 ÷ 6 × 13?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 4 ÷ 12 − 12?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 5 + 12 × 6?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 7 − 20 + 20?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 11 + 20 − 10?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 10 − 12 ÷ 17?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 15 ÷ 6 + 2?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 4 × 10 ÷ 14?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 4 ÷ 5 − 19?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 13 − 15 ÷ 18?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 8 ÷ 14 + 16?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 11 × 16 + 8?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 15 − 2 + 6?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 4 + 20 ÷ 20?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 12 × 13 − 14?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 16 × 8 − 9?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 15 × 13 − 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 3 − 17 + 2?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 11 + 8 − 11?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 9 + 9 × 15?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 2 − 17 + 17?

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