Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 904 · 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 × 14 + 3 − 14?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 18 ÷ 9 × 20?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 11 ÷ 13 × 12?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 7 − 7 + 3?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 15 + 2 ÷ 13?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 2 ÷ 16 + 13?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 18 × 9 − 3?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 8 ÷ 4 × 13?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 12 ÷ 9 − 17?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 5 × 6 + 5?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 16 × 5 ÷ 9?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 4 ÷ 4 − 20?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 18 + 2 × 2?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 18 ÷ 7 − 12?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 6 + 10 ÷ 11?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 4 × 2 ÷ 9?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 20 − 9 + 5?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 5 + 5 − 10 × 10?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 10 + 7 × 14?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 19 × 11 ÷ 11?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 7 ÷ 14 × 16?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 10 ÷ 3 + 4?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 20 + 5 ÷ 17?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 14 − 4 × 3?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 3 − 4 ÷ 15?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 12 × 8 ÷ 6?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 12 ÷ 8 × 8?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 9 + 2 − 20?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 7 − 7 ÷ 12?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 6 − 16 ÷ 9?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 4 × 13 + 13?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 3 ÷ 16 + 10?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 11 × 11 − 18?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 18 − 6 ÷ 8?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 15 − 9 ÷ 19?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 17 × 18 ÷ 8?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 7 × 16 ÷ 14?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 16 ÷ 5 − 3?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 8 ÷ 3 + 8?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 7 − 3 + 11?

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