Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 668 · 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 15 − 10 × 10 ÷ 13?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 7 × 5 − 5?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 10 ÷ 5 − 10?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 12 − 4 ÷ 13?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 6 × 10 ÷ 18?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 14 ÷ 7 − 7?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 3 + 8 − 3?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 9 + 16 × 16?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 8 − 4 × 13?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 9 ÷ 10 + 10?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 19 − 17 + 5?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 13 ÷ 5 + 6?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 − 3 × 5 + 3?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 4 − 9 ÷ 14?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 4 − 14 ÷ 20?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 3 ÷ 11 + 7?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 18 + 5 × 5?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 3 + 4 ÷ 11?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 6 − 4 × 3?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 10 ÷ 16 + 4?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 16 ÷ 3 + 6?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 8 × 6 ÷ 12?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 9 × 18 ÷ 12?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 11 × 6 ÷ 3?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 8 + 5 − 8?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 8 ÷ 8 × 7?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 14 + 12 × 2?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 5 + 12 × 3?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 12 − 12 ÷ 5?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 10 ÷ 20 − 2?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 − 17 × 8?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 11 + 8 ÷ 17?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 12 + 17 − 3?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 10 × 14 ÷ 18?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 19 − 7 × 6?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 14 − 16 × 3?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 15 × 14 ÷ 20?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 8 ÷ 5 + 6?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 7 × 12 + 12?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 18 × 15 ÷ 8?

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