Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 514 · 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 ÷ 3 + 18 × 16?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 2 − 15 × 20?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 4 − 5 ÷ 12?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 10 − 17 ÷ 14?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 18 + 6 − 3?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 9 ÷ 10 + 5?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 6 + 17 − 11?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 9 + 7 × 5?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 3 − 5 ÷ 20?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 13 − 18 × 9?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 5 × 5 ÷ 18?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 19 ÷ 3 + 8?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 20 × 2 − 8?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 3 × 16 + 15?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 5 + 18 − 6?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 12 − 17 ÷ 11?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 2 − 5 × 6?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 16 − 20 + 17?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 9 ÷ 20 × 5?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 9 − 4 ÷ 6?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 14 + 10 × 3?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 13 × 11 ÷ 5?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 12 − 13 × 6?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 16 × 12 ÷ 15?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 6 × 19 ÷ 4?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 14 + 2 × 17?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 4 ÷ 20 − 8?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 2 × 14 + 14?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 18 × 5 ÷ 19?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 13 + 14 − 2?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 10 − 2 × 17?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 17 + 19 − 7?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 6 × 4 − 10?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 18 − 5 + 6?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 3 + 3 × 14?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 20 × 7 − 7?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 15 − 15 + 13?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 4 + 8 ÷ 10?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 7 − 8 × 8?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 13 × 8 ÷ 18?

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