Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 629 · 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 11 − 20 ÷ 9 × 3?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 2 × 7 ÷ 14?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 17 ÷ 7 − 11?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 7 × 13 ÷ 15?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 6 × 11 ÷ 10?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 15 + 5 ÷ 18?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 20 ÷ 4 − 16?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 15 − 10 ÷ 10?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 16 − 4 ÷ 19?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 14 ÷ 7 + 18?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 17 + 5 × 16?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 8 ÷ 18 + 12?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 11 − 19 ÷ 3?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 14 × 3 + 14?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 9 × 2 ÷ 2?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 17 − 9 ÷ 20?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 5 × 13 − 6?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 10 − 6 + 20?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 11 − 5 ÷ 3?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 12 + 12 ÷ 3?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 3 − 7 + 6?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 8 + 9 × 9?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 16 + 20 − 10?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 2 + 18 ÷ 16?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 7 × 16 ÷ 18?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 10 × 2 ÷ 2?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 5 × 19 ÷ 12?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 3 ÷ 20 + 20?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 4 − 3 + 6?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 8 − 18 + 12?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 13 + 15 ÷ 16?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 15 × 7 + 10?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 3 + 20 ÷ 8?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 17 ÷ 7 + 14?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 5 − 11 ÷ 6?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 2 − 8 + 2?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 10 + 2 × 16?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 2 × 4 − 2?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 7 ÷ 7 × 6?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 4 × 6 + 7?

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