Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 297 · 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 − 2 ÷ 14 + 15?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 7 ÷ 4 × 2?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 5 ÷ 6 + 4?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 4 ÷ 3 + 3?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 8 × 6 + 18?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 4 − 2 × 18?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 19 − 3 × 4?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 7 × 9 ÷ 5?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 10 − 19 ÷ 17?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 16 × 10 + 7?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 5 + 5 − 15 ÷ 3?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 6 ÷ 11 × 3?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 10 × 9 − 13?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 3 − 7 ÷ 3?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 19 × 13 − 9?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 6 − 15 ÷ 20?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 18 × 15 − 15?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 5 − 2 ÷ 2?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 8 − 12 + 5?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 12 × 8 ÷ 9?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 3 − 9 ÷ 10?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 3 + 11 − 11?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 3 − 19 × 13?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 11 × 11 ÷ 5?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 6 + 17 − 3?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 2 + 10 − 14?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 6 − 10 ÷ 2?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 4 + 4 × 11?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 16 ÷ 5 × 16?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 12 − 16 × 6?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 2 + 9 ÷ 4?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 13 + 13 − 20 ÷ 8?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 16 ÷ 20 × 10?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 4 + 3 − 12?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 6 + 15 − 15?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 3 × 6 ÷ 5?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 3 × 3 ÷ 3?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 3 ÷ 19 × 19?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 5 ÷ 16 × 20?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 8 × 16 − 18?

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