Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 118 · 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 13 − 3 ÷ 9 × 8?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 20 ÷ 15 + 9?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 11 ÷ 14 + 4?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 14 − 8 + 4?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 10 + 10 − 7?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 8 × 5 − 18?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 11 − 15 × 8?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 3 − 10 × 13?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 5 ÷ 2 + 2?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 19 ÷ 10 × 15?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 3 ÷ 12 − 4?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 18 × 10 ÷ 8?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 13 ÷ 6 − 18?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 17 ÷ 7 + 12?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 9 × 12 − 3?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 4 × 6 − 9?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 13 − 7 + 15?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 6 × 2 ÷ 6?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 6 ÷ 11 − 14?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 11 + 9 − 20?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 17 ÷ 19 + 17?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 12 × 2 + 16?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 2 ÷ 20 + 11?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 8 − 17 × 16?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 11 ÷ 12 + 6?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 2 × 11 + 6?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 3 − 15 ÷ 8?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 13 − 20 × 20?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 17 ÷ 4 × 9?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 19 − 9 ÷ 13?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 8 − 11 ÷ 15?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 13 − 6 ÷ 16?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 13 + 4 × 3?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 20 − 20 + 6?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 13 ÷ 19 × 11?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 6 ÷ 3 − 12?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 20 − 18 + 12?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 7 + 3 ÷ 13?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 8 + 11 × 4?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 15 + 10 ÷ 11?

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