Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 674 · 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 ÷ 6 + 20 − 2?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 7 ÷ 20 + 5?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 10 + 17 ÷ 17?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 14 − 5 × 3?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 2 ÷ 9 − 17?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 18 ÷ 8 + 3?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 16 + 7 ÷ 9?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 6 ÷ 2 × 16?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 9 × 9 − 8?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 4 + 3 × 2?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 2 − 6 × 7?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 20 − 3 + 3?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 10 + 2 ÷ 16?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 14 + 18 × 17?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 2 + 4 ÷ 2?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 3 ÷ 2 + 12?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 2 + 2 × 5?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 20 − 7 + 7?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 10 + 10 ÷ 2?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 16 ÷ 6 + 14?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 13 + 13 − 7 ÷ 7?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 14 + 7 ÷ 19?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 8 + 6 − 6?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 5 + 2 × 12?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 4 ÷ 2 × 15?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 3 ÷ 12 + 16?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 8 + 5 ÷ 6?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 4 + 3 ÷ 8?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 2 − 14 ÷ 9?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 9 − 3 ÷ 17?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 10 + 12 − 3?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 9 + 18 × 5?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 18 + 4 − 8?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 13 × 8 − 12?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 12 − 16 + 8?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 3 × 17 ÷ 9?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 2 − 15 ÷ 13?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 18 − 3 + 13?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 17 + 7 ÷ 8?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 2 ÷ 19 − 19?

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