Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 307 · 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 9 + 14 ÷ 4 × 4?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 3 ÷ 20 + 4?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 20 ÷ 2 × 2?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 7 − 18 × 18?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 20 ÷ 19 × 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 6 − 5 + 14?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 3 ÷ 8 + 16?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 18 − 17 ÷ 16?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 7 ÷ 7 − 8?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 2 − 11 ÷ 10?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 17 ÷ 4 + 7?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 4 ÷ 9 + 7?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 10 ÷ 10 + 4?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 11 + 17 × 17?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 7 − 6 ÷ 7?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 3 × 2 ÷ 3?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 − 11 ÷ 2?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 18 + 5 × 3?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 5 − 12 × 10?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 15 ÷ 19 + 16?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 18 + 19 × 2?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 6 ÷ 4 + 14?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 6 − 7 × 3?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 15 − 5 + 11?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 3 + 6 ÷ 6?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 18 − 10 + 6?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 17 + 8 × 13?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 15 − 13 ÷ 5?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 8 × 14 − 15?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 9 ÷ 19 × 20?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 12 × 14 ÷ 3?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 13 × 7 − 13?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 7 + 7 − 8?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 11 + 18 ÷ 18?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 6 + 7 − 12?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 19 + 8 × 11?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 14 − 8 × 17?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 15 − 5 ÷ 9?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 10 + 4 ÷ 14?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 15 + 12 − 16?

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