Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 697 · 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 6 + 6 − 6 ÷ 20?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 8 − 9 × 6?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 5 − 14 × 8?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 5 × 5 − 3?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 18 × 20 ÷ 6?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 15 − 2 + 3?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 9 + 9 − 2?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 10 ÷ 6 × 14?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 20 × 6 − 6?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 4 + 2 × 12?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 7 − 7 ÷ 19?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 8 × 15 ÷ 17?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 18 + 15 ÷ 18?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 3 × 13 ÷ 4?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 15 + 9 ÷ 20?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 17 ÷ 4 + 2?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 15 × 6 ÷ 2?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 20 × 6 + 3?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 8 − 4 + 16?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 20 ÷ 14 + 9?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 10 ÷ 3 × 4?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 3 × 17 ÷ 19?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 17 ÷ 6 × 14?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 17 − 17 × 11?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 5 − 7 + 20?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 8 + 5 ÷ 18?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 5 + 5 × 8?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 20 ÷ 19 − 8?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 16 − 4 ÷ 12?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 4 + 2 − 5?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 5 ÷ 8 × 18?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 6 ÷ 2 × 16?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 19 × 20 + 5?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 19 × 2 − 11?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 10 + 16 ÷ 20?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 11 ÷ 15 × 11?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 20 − 20 × 19?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 10 + 13 ÷ 14?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 17 − 13 + 12?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 15 ÷ 16 × 3?

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