Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 351 · 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 14 + 2 − 6 ÷ 10?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 17 ÷ 4 − 5?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 10 + 2 − 6?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 4 ÷ 3 × 7?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 19 ÷ 9 × 2?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 14 − 10 + 20?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 12 − 15 ÷ 16?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 15 × 2 ÷ 16?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 3 × 14 + 14?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 18 − 14 × 7?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 18 ÷ 3 × 3?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 12 − 15 × 15?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 4 − 17 + 12?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 9 × 3 ÷ 3?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 4 + 15 ÷ 19?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 ÷ 20 + 3?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 20 + 16 ÷ 4?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 6 − 12 + 15?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 18 ÷ 16 + 6?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 2 × 4 ÷ 8?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 3 + 9 − 3?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 13 × 4 − 15?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 12 + 4 − 6?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 3 ÷ 11 − 6?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 14 − 11 ÷ 8?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 3 × 3 ÷ 13?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 20 + 4 × 2?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 2 − 7 ÷ 19?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 6 ÷ 10 + 17?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 7 + 19 ÷ 12?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 12 × 13 ÷ 7?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 9 × 9 ÷ 20?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 6 − 11 + 7?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 3 ÷ 12 + 2?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 5 ÷ 18 + 8?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 5 ÷ 7 × 15?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 12 ÷ 15 − 4?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 11 + 3 × 11?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 14 × 12 − 11?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 20 + 2 − 2?

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