Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 524 · 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 15 + 20 ÷ 10 − 20?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 17 × 3 ÷ 9?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 16 ÷ 19 × 11?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 6 × 20 − 4?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 15 − 11 × 12?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 16 × 11 ÷ 5?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 2 ÷ 16 + 10?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 15 + 18 ÷ 13?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 15 + 3 × 2?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 6 − 18 ÷ 16?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 4 ÷ 7 × 5?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 15 − 3 × 16?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 18 + 3 − 12?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 19 + 19 × 14?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 6 × 13 ÷ 13?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 6 × 15 − 8?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 3 × 19 + 4?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 20 − 5 ÷ 3?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 7 + 20 × 5?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 14 ÷ 10 − 15?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 19 + 12 ÷ 4?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 10 + 18 ÷ 2?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 9 × 2 ÷ 6?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 12 − 4 × 11?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 19 − 10 ÷ 16?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 18 ÷ 3 × 2?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 3 ÷ 16 × 2?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 4 + 3 × 4?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 2 × 6 ÷ 13?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 15 − 6 + 12?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 18 − 20 ÷ 19?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 9 + 9 ÷ 2?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 11 − 20 + 10?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 20 × 2 + 9?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 6 + 6 × 5?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 14 × 11 ÷ 10?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 6 − 17 × 19?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 17 + 4 − 5?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 5 − 9 ÷ 5?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 6 × 14 ÷ 4?

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