Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 938 · 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 10 ÷ 7 − 7 + 17?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 20 + 15 × 15?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 20 × 20 − 7?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 13 + 15 ÷ 13?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 7 ÷ 11 × 7?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 9 + 3 − 11 ÷ 20?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 6 ÷ 14 + 12?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 7 ÷ 16 − 16?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 5 + 5 × 5?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 13 × 18 ÷ 9?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 17 + 6 × 2?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 × 17 − 16 ÷ 8?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 4 × 4 ÷ 15?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 2 − 10 + 14?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 10 − 20 + 10?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 4 + 16 × 3?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 6 − 19 ÷ 7?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 12 ÷ 4 × 18?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 8 − 8 × 9?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 16 ÷ 7 − 16?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 3 + 20 ÷ 9?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 12 × 2 ÷ 6?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 8 × 5 ÷ 11?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 19 + 3 ÷ 4?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 3 + 12 − 2?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 20 × 18 ÷ 5?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 7 + 8 ÷ 4?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 2 ÷ 17 + 12?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 18 − 2 × 4?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 16 ÷ 13 − 3?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 2 ÷ 6 + 4?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 2 + 5 ÷ 18?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 5 − 8 ÷ 20?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 × 17 − 10 ÷ 2?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 2 + 12 × 6?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 13 ÷ 3 × 3?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 18 + 18 × 13?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 9 − 8 × 9?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 13 ÷ 15 + 16?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 13 − 18 × 8?

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