Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 585 · 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 13 ÷ 6 × 2 + 6?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 19 × 6 + 4?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 14 + 19 − 7?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 7 × 11 − 11?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 4 − 10 ÷ 2?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 4 × 14 ÷ 17?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 20 × 11 − 14?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 2 × 8 − 2?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 13 ÷ 17 + 15?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 2 × 7 ÷ 12?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 6 × 8 − 15?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 18 + 18 × 5?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 3 − 6 ÷ 8?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 13 ÷ 7 × 13?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 4 − 6 ÷ 14?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 11 ÷ 6 × 9?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 18 − 3 + 3?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 12 − 4 ÷ 5?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 17 − 5 × 14?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 17 × 19 ÷ 2?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 − 11 × 16?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 5 − 13 ÷ 9?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 17 × 5 + 8?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 6 − 8 ÷ 9?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 3 + 12 ÷ 11?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 10 ÷ 5 − 10?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 11 ÷ 3 + 8?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 4 − 9 + 3?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 5 + 17 × 3?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 10 + 4 ÷ 3?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 10 + 4 × 16?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 5 ÷ 20 − 4?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 12 + 11 ÷ 20?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 14 + 19 ÷ 16?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 6 + 7 ÷ 10?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 18 + 5 ÷ 11?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 19 × 19 − 7?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 14 × 7 ÷ 17?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 19 + 19 ÷ 5?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 17 + 12 − 6?

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