Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 177 · 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 9 × 15 ÷ 16 + 12?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 6 + 2 − 8?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 3 ÷ 2 × 19?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 6 + 6 × 7?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 6 + 3 ÷ 5?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 9 − 16 + 2?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 4 ÷ 6 × 17?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 11 − 15 ÷ 7?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 14 × 10 − 2?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 18 × 3 ÷ 18?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 9 − 3 + 6?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 10 ÷ 5 + 18?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 6 − 12 + 4?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 4 ÷ 10 − 4?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 15 + 4 ÷ 15?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 16 − 20 + 6?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 3 − 3 × 3?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 5 + 5 − 8?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 13 ÷ 18 − 3?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 7 ÷ 2 − 14?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 17 − 17 ÷ 15?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 3 − 5 × 5?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 16 × 10 ÷ 3?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 2 − 13 ÷ 19?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 2 − 2 × 13?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 18 + 16 × 7?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 11 ÷ 11 × 2?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 18 × 8 − 2?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 2 ÷ 5 + 5?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 14 − 2 + 12?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 6 ÷ 16 × 4?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 11 + 14 ÷ 14?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 6 × 18 + 6?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 20 − 14 ÷ 18?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 6 ÷ 18 × 2?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 18 ÷ 12 + 12?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 17 × 5 ÷ 20?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 2 ÷ 6 − 3?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 6 − 13 + 13?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 14 − 7 + 12?

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