Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 610 · 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 8 − 17 ÷ 15 + 17?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 4 ÷ 17 × 8?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 2 − 18 ÷ 6?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 19 × 3 − 3?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 14 + 2 × 9?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 6 − 7 + 7?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 3 − 2 × 18?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 20 + 17 ÷ 14?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 9 − 2 ÷ 11?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 17 ÷ 3 + 13?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 2 − 13 ÷ 7?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 2 ÷ 9 − 4?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 8 − 4 ÷ 19?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 9 − 3 × 18?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 6 ÷ 8 − 12?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 11 + 11 ÷ 4 × 3?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 4 × 15 + 8?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 6 × 15 − 9?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 8 × 5 + 12?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 19 ÷ 8 − 15?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 8 + 5 ÷ 7?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 9 − 20 ÷ 15?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 14 × 5 ÷ 6?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 10 ÷ 14 × 17?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 12 × 2 ÷ 2?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 12 − 11 + 13?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 8 × 17 ÷ 8?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 20 + 4 − 17?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 8 ÷ 8 − 13?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 12 × 6 ÷ 11?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 18 + 10 × 15?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 2 ÷ 13 × 13?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 2 + 2 − 7 × 9?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 16 − 15 ÷ 15?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 20 + 11 − 15?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 5 − 16 + 12?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 3 − 10 + 4?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 13 − 13 × 6 ÷ 7?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 10 + 5 − 12?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 2 × 14 ÷ 17?

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