Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 845 · 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 5 ÷ 5 + 4 − 13?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 3 + 17 ÷ 9?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 2 + 6 ÷ 10?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 18 − 4 ÷ 16?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 18 ÷ 8 × 11?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 4 + 16 × 16?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 18 ÷ 4 + 18?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 18 ÷ 15 × 5?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 5 × 5 − 13?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 10 + 4 − 14?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 4 − 9 × 10?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 3 ÷ 6 + 13?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 10 + 13 × 9?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 12 − 6 + 2?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 17 × 17 − 15?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 18 − 18 ÷ 9?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 4 ÷ 19 × 2?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 14 − 14 ÷ 17?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 15 − 5 × 3?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 20 + 12 × 12?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 7 − 16 × 16?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 6 ÷ 8 + 5?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 8 ÷ 8 + 4?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 4 ÷ 11 + 4?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 14 − 14 + 7?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 6 ÷ 6 + 7?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 8 ÷ 5 × 12?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 5 × 6 ÷ 10?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 19 + 19 ÷ 11?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 3 ÷ 2 + 13?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 10 ÷ 2 + 12?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 6 ÷ 11 + 2?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 12 × 5 − 5?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 18 × 2 − 15?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 15 ÷ 8 × 3?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 3 − 12 + 6?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 9 ÷ 7 + 19?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 12 × 9 − 16?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 5 − 10 ÷ 2?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 2 × 6 ÷ 8?

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