Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 539 · 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 17 + 15 × 10 ÷ 16?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 18 + 4 × 17?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 17 − 3 ÷ 6?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 19 ÷ 18 − 3?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 15 + 2 ÷ 14?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 10 ÷ 15 − 18?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 13 + 6 ÷ 13?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 4 ÷ 12 × 14?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 15 + 10 ÷ 17?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 6 + 8 ÷ 12?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 15 + 6 ÷ 6?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 10 − 2 + 4?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 15 + 2 − 5?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 9 + 12 × 9?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 12 ÷ 7 + 19?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 12 − 16 + 13?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 6 − 4 ÷ 6?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 12 × 17 ÷ 3?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 18 ÷ 9 × 2?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 16 + 11 × 11?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 9 ÷ 17 × 4?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 8 ÷ 2 × 6?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 5 ÷ 3 − 19?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 10 − 19 ÷ 2?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 6 − 17 ÷ 16?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 6 ÷ 7 + 13?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 15 × 11 ÷ 17?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 3 × 13 − 6?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 18 + 20 × 5?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 5 + 2 × 12?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 6 ÷ 15 × 14?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 7 ÷ 10 − 14?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 6 − 6 × 3?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 15 × 20 ÷ 7?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 17 + 14 × 2?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 8 ÷ 3 + 9?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 19 ÷ 8 + 16?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 19 × 7 ÷ 3?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 6 × 3 + 19?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 9 ÷ 6 − 14?

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