Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 823 · 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 5 ÷ 10 + 6 × 8?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 14 ÷ 4 + 7?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 8 ÷ 5 + 4?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 12 − 3 ÷ 5?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 10 + 18 − 20?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 3 + 7 − 8?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 9 ÷ 14 × 3?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 2 × 20 − 20?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 10 + 6 ÷ 13?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 14 − 10 × 20?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 17 − 8 ÷ 13?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 8 × 2 ÷ 6?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 11 ÷ 16 + 15?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 19 ÷ 7 + 19?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 × 11 ÷ 12 − 8?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 15 ÷ 5 × 6?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 3 × 20 + 20?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 13 + 7 ÷ 5?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 × 19 ÷ 20 + 20?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 11 × 9 − 17?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 2 ÷ 5 × 17?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 4 + 15 ÷ 4?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 7 × 14 + 7?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 9 + 11 × 13?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 13 + 13 − 15?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 10 ÷ 16 × 3?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 6 + 12 ÷ 2?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 5 − 9 + 9?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 17 ÷ 11 × 20?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 4 × 13 − 6?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 18 ÷ 16 × 9?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 10 − 2 + 14?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 17 ÷ 9 × 17?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 12 × 6 + 17?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 11 − 4 × 4?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 16 + 4 − 5?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 8 ÷ 15 − 9?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 15 + 5 ÷ 7?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 20 ÷ 15 + 4?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 19 ÷ 11 × 8?

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