Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 529 · 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 18 ÷ 5 × 8 + 15?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 × 12 + 7?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 17 × 9 − 9?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 2 ÷ 7 × 8?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 6 × 20 − 12?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 13 + 13 − 19?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 3 ÷ 6 + 12?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 2 + 17 ÷ 3?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 16 ÷ 12 × 3?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 7 − 7 × 6?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 17 × 7 ÷ 13?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 ÷ 10 × 5?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 16 − 2 + 2?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 16 × 2 + 12?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 13 − 10 + 11?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 6 + 13 × 5?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 9 + 5 × 3?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 6 × 4 ÷ 20?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 9 × 20 − 2?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 16 ÷ 12 × 7?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 19 ÷ 7 − 3?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 13 + 16 ÷ 8?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 10 × 13 ÷ 5?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 17 ÷ 10 × 6?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 10 × 2 + 17?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 11 × 18 − 18?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 2 × 12 ÷ 5?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 3 + 11 − 5?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 11 − 15 + 15?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 19 − 4 ÷ 13?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 11 × 10 + 16?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 3 + 8 × 7?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 7 + 13 × 2?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 4 ÷ 12 + 13?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 8 ÷ 9 × 6?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 17 ÷ 7 × 7?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 17 + 14 ÷ 17?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 4 × 17 ÷ 17?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 19 × 15 − 5?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 3 ÷ 17 − 3?

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