Symbol Substitution Worksheet

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

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