Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 501 · 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 20 + 20 × 2 − 8?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 5 ÷ 18 − 4?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 2 ÷ 2 × 6?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 2 ÷ 11 × 13?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 12 + 8 ÷ 4?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 9 × 6 + 14?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 6 × 18 + 12?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 4 × 6 − 2?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 12 ÷ 10 − 15?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 6 + 14 × 19?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 19 ÷ 10 − 19?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 5 + 4 ÷ 4?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 19 ÷ 5 × 3?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 7 ÷ 8 + 4?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 3 × 18 ÷ 8?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 12 + 8 × 8?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 5 − 3 + 5?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 20 + 6 × 16?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 15 × 15 ÷ 11?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 18 × 17 ÷ 20?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 2 × 2 ÷ 20?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 18 × 12 − 6?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 17 + 17 − 11 ÷ 18?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 19 + 19 − 6 ÷ 5?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 15 ÷ 19 + 9?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 7 ÷ 18 × 3?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 9 − 17 ÷ 8?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 20 × 10 − 9?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 16 + 5 × 5?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 19 + 2 ÷ 11?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 8 ÷ 14 × 17?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 16 + 12 − 18?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 17 ÷ 16 − 19?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 20 − 2 × 18?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 16 × 4 ÷ 7?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 2 ÷ 18 × 19?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 8 − 3 + 16?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 5 − 20 + 12?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 4 ÷ 10 × 5?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 19 + 6 × 4?

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