Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 356 · 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 − 15 × 9 ÷ 7?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 11 − 6 ÷ 11?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 7 + 7 − 3?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 9 × 8 − 12?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 2 ÷ 19 × 12?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 8 + 6 ÷ 17?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 15 × 14 ÷ 10?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 6 − 9 ÷ 15?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 8 − 5 + 5?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 18 − 3 + 15?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 5 ÷ 19 − 5?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 6 − 20 + 20?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 10 ÷ 17 × 2?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 6 ÷ 9 + 16?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 15 + 3 − 13?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 19 + 4 × 2?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 10 + 14 ÷ 2?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 14 ÷ 17 + 7?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 11 ÷ 15 + 8?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 12 − 18 + 11?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 18 + 11 × 11?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 11 + 7 − 7?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 × 2 − 17 ÷ 19?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 6 × 2 − 4?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 19 − 14 + 9?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 10 − 4 × 10?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 3 − 2 × 19?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 11 ÷ 9 × 10?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 18 ÷ 15 + 3?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 5 ÷ 20 + 20?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 5 ÷ 8 − 8?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 16 + 10 ÷ 16?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 4 × 20 ÷ 14?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 19 − 4 + 4?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 16 + 11 ÷ 4?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 5 + 2 × 3?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 10 + 2 ÷ 4?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 4 − 2 ÷ 3?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 14 + 17 × 15?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 8 − 6 + 19?

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