Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 287 · 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 15 + 17 − 15 ÷ 17?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 11 − 5 ÷ 16?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 5 + 5 × 4?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 12 × 7 ÷ 20?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 × 16 − 13?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 3 + 2 × 3?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 13 ÷ 10 − 7?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 4 ÷ 6 − 14?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 3 − 18 × 2?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 15 + 3 − 3?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 2 ÷ 3 − 19?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 3 ÷ 20 + 16?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 14 + 5 × 10?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 18 + 5 × 15?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 7 × 3 + 7?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 14 ÷ 14 + 6?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 19 × 8 ÷ 20?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 15 + 6 − 18?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 11 ÷ 10 − 2?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 18 ÷ 18 + 11?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 9 − 2 × 20?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 10 × 8 ÷ 19?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 10 + 3 − 19?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 5 + 2 ÷ 8?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 + 5 × 11?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 12 + 2 − 6?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 15 × 8 ÷ 18?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 17 ÷ 9 − 7?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 19 + 19 − 12?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 15 ÷ 2 − 9?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 6 − 17 + 9?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 7 − 12 + 9?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 16 ÷ 14 + 6?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 5 − 7 ÷ 15?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 15 − 14 ÷ 13?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 8 + 20 × 2?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 20 × 2 ÷ 12?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 12 + 17 × 11?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 10 ÷ 4 × 9?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 15 − 18 × 4?

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