Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 816 · 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 + 3 ÷ 16 − 7?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 8 + 4 − 11?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 13 × 2 + 18?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 6 × 17 ÷ 8?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 18 ÷ 15 + 10?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 15 − 13 + 5?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 18 − 19 ÷ 19?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 5 − 9 × 11?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 3 − 14 × 3?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 5 × 5 − 4?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 2 ÷ 4 × 11?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 17 − 10 + 8?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 15 − 20 × 7?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 17 × 5 − 18?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 3 ÷ 14 × 14?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 11 + 19 − 12?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 2 + 7 ÷ 17?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 6 × 18 − 11?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 8 + 5 − 5?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 2 × 15 ÷ 6?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 7 ÷ 17 − 9?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 11 × 10 ÷ 3?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 13 × 20 ÷ 6?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 6 + 9 × 18?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 11 × 5 ÷ 4?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 16 ÷ 11 × 6?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 10 − 5 + 7?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 18 ÷ 15 + 12?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 10 ÷ 3 − 20?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 12 − 7 + 12?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 10 × 6 + 6?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 18 + 4 − 18?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 7 ÷ 12 − 9?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 3 − 7 × 17?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 9 + 12 × 4?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 13 − 7 + 6?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 13 ÷ 18 + 2?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 10 − 13 + 9?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 4 × 3 ÷ 3?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 7 − 14 ÷ 15?

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