Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 410 · 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 4 + 20 − 5 ÷ 13?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 4 + 3 × 19?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 4 − 2 × 3?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 14 − 3 × 7?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 3 − 13 + 3?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 6 + 8 × 15?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 6 × 17 − 13?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 19 + 2 ÷ 2?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 6 ÷ 4 − 7?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 6 × 20 ÷ 2?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 6 + 18 − 15?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 16 ÷ 14 − 16?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 16 + 2 − 16?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 17 − 18 ÷ 17?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 5 ÷ 9 + 3?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 11 ÷ 19 + 17?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 9 ÷ 2 + 2?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 8 − 15 ÷ 19?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 6 ÷ 15 + 16?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 18 + 18 ÷ 6?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 10 − 9 + 3?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 6 − 7 × 15?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 12 ÷ 5 + 8?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 8 ÷ 8 − 13?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 2 + 12 − 3?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 17 + 19 × 17?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 5 − 4 ÷ 8?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 14 + 4 × 2?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 3 × 4 − 5?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 2 × 4 ÷ 3?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 18 + 9 − 14?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 17 × 17 − 20?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 5 × 13 ÷ 14?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 9 + 2 − 2?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 18 ÷ 19 − 19?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 18 − 15 × 9?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 13 × 6 ÷ 19?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 18 × 5 ÷ 7?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 2 − 12 + 12?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 5 − 2 × 6?

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