Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 549 · 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 + 15 ÷ 14 − 19?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 11 ÷ 4 + 7?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 4 + 5 − 15?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 10 + 2 ÷ 13?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 18 ÷ 15 − 18?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 17 ÷ 15 + 10?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 9 × 5 − 13?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 8 ÷ 16 + 16?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 9 ÷ 2 − 12?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 4 ÷ 14 − 5?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 10 + 3 ÷ 16?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 14 − 7 ÷ 15?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 14 ÷ 15 + 13?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 3 − 6 + 10?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 16 − 2 ÷ 7?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 10 − 19 ÷ 20?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 7 ÷ 13 × 20?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 3 × 3 ÷ 7?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 19 − 6 ÷ 6?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 7 ÷ 10 + 5?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 15 − 5 ÷ 11?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 5 × 16 − 2?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 17 ÷ 10 − 15?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 20 + 7 − 2?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 20 ÷ 5 − 12?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 14 ÷ 8 + 3?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 3 × 17 ÷ 16?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 12 − 2 ÷ 12?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 6 + 3 × 10?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 18 × 20 ÷ 16?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 − 9 × 3?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 ÷ 5 − 14?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 8 × 10 + 10?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 11 + 19 ÷ 2?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 16 ÷ 6 + 2?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 14 − 20 ÷ 4?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 17 ÷ 17 × 17?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 3 − 13 + 2?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 15 ÷ 16 + 20?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 6 + 12 ÷ 9?

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