Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 112 · 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 − 17 ÷ 2 + 20?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 7 × 6 − 11?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 3 + 10 − 3?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 7 − 7 × 18?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 7 − 16 × 11?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 9 ÷ 15 × 20?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 8 × 10 ÷ 11?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 × 4 ÷ 17?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 2 − 14 + 2?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 9 ÷ 5 × 10?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 10 − 6 × 12?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 5 − 2 × 19?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 6 + 14 − 4?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 6 × 2 ÷ 9?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 17 × 5 ÷ 14?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 − 19 × 5?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 19 × 5 ÷ 6?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 9 + 20 × 10?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 4 + 6 × 17?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 2 × 5 ÷ 13?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 10 − 6 ÷ 18?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 4 ÷ 5 × 17?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 4 + 7 × 7?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 8 × 11 − 9?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 20 × 10 ÷ 13?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 14 + 7 ÷ 19?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 7 ÷ 17 + 14?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 3 ÷ 15 + 20?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 12 − 2 × 8?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 14 − 3 × 4?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 3 + 4 − 3?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 20 ÷ 4 + 3?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 10 + 7 × 6?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 8 + 15 × 3?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 20 + 10 × 2?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 10 + 2 ÷ 20?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 19 × 12 + 17?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 18 ÷ 4 × 11?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 4 − 5 + 5?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 9 ÷ 4 − 7?

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