Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 801 · 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 19 + 15 × 6 ÷ 9?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 7 − 7 + 17?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 9 × 16 + 18?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 10 ÷ 5 + 9?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 7 + 6 × 6?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 5 + 20 − 18?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 11 ÷ 14 × 14?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 4 − 10 ÷ 7?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 6 × 15 + 15?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 2 − 15 ÷ 14?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 7 × 14 ÷ 6?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 2 − 8 × 2?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 12 ÷ 9 + 6?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 8 ÷ 16 + 20?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 6 − 15 ÷ 3?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 11 − 18 ÷ 16?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 11 ÷ 12 − 12?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 15 − 12 + 13?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 14 + 14 ÷ 18?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 17 ÷ 2 × 17?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 6 ÷ 4 − 19?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 5 + 8 × 3?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 6 − 5 ÷ 17?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 6 ÷ 4 × 7?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 3 ÷ 2 × 4?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 14 ÷ 2 − 19?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 6 + 2 − 5?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 6 × 20 − 11?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 17 ÷ 19 + 4?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 9 ÷ 9 − 8?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 10 + 17 ÷ 13?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 4 − 2 × 4?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 9 × 18 + 2?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 19 × 8 − 14?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 3 × 15 + 5?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 3 ÷ 16 + 7?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 13 ÷ 19 × 12?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 6 − 2 ÷ 10?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 7 ÷ 12 × 4?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 7 ÷ 6 + 6?

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