Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 447 · 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 12 + 15 ÷ 6 × 6?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 9 ÷ 11 − 8?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 6 ÷ 12 − 20?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 6 ÷ 13 + 20?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 15 × 3 ÷ 16?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 13 + 15 − 15?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 9 ÷ 19 + 11?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 19 × 19 − 8?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 10 ÷ 10 − 5?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 14 − 14 + 18?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 4 ÷ 7 + 20?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 8 × 9 ÷ 15?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 10 × 6 + 4?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 3 × 14 ÷ 6?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 12 + 5 ÷ 17?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 4 × 18 ÷ 20?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 11 ÷ 3 + 18?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 3 × 7 ÷ 6?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 3 × 7 + 7?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 3 ÷ 9 + 12?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 12 × 6 − 6?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 16 × 15 + 18?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 × 7 + 7 − 20?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 14 − 9 + 17?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 6 + 2 ÷ 5?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 4 − 5 ÷ 5?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 2 × 19 ÷ 12?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 13 × 9 ÷ 16?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 7 ÷ 13 − 13?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 2 ÷ 8 − 7?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 5 ÷ 5 + 4?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 4 ÷ 15 + 13?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 5 + 15 ÷ 19?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 13 + 16 ÷ 3?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 5 + 6 × 2?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 9 × 15 − 10?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 4 − 2 × 14?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 16 − 15 + 12?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 5 ÷ 16 × 9?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 11 ÷ 20 + 20?

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