Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 414 · 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 − 3 + 12 × 15?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 17 × 5 ÷ 14?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 8 × 15 ÷ 16?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 10 − 10 ÷ 14?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 3 ÷ 6 × 3?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 5 − 10 + 16?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 6 + 4 × 8?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 4 ÷ 9 − 7?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 20 ÷ 9 + 11?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 2 ÷ 9 + 11?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 20 × 5 + 11?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 2 ÷ 13 − 13?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 20 − 10 × 18?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 2 + 20 × 7?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 8 + 4 ÷ 19?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 18 + 8 ÷ 13?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 19 − 20 ÷ 5?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 11 ÷ 11 + 6?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 20 + 4 − 5?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 6 − 5 × 5?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 4 × 8 − 3?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 12 × 4 ÷ 20?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 14 × 14 − 4?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 3 − 12 × 9?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 10 × 10 + 2?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 6 ÷ 17 × 9?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 5 + 5 ÷ 6 × 2?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 13 + 5 × 6?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 5 × 5 ÷ 17?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 14 ÷ 16 + 5?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 17 ÷ 8 − 16?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 2 ÷ 20 + 15?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 18 ÷ 19 + 6?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 3 × 7 − 13?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 16 − 9 ÷ 12?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 2 × 5 − 18?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 17 ÷ 9 × 15?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 16 ÷ 12 + 8?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 3 ÷ 6 + 9?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 3 × 12 ÷ 17?

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