Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 253 · 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 7 − 11 + 8 ÷ 2?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 5 + 13 × 8?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 20 − 12 + 6?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 6 ÷ 11 − 14?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 17 + 19 − 5?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 8 ÷ 18 − 10?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 6 ÷ 3 − 2?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 3 ÷ 7 × 17?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 × 7 + 8 − 9?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 2 × 7 ÷ 5?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 11 − 14 ÷ 14?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 4 ÷ 16 + 2?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 10 × 2 ÷ 2?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 10 ÷ 7 + 7?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 5 − 14 + 5?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 15 + 8 × 20?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 13 ÷ 13 + 17?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 16 × 5 − 9?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 5 × 8 − 18?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 2 − 11 + 20?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 18 + 5 × 13?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 4 ÷ 2 + 7?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 8 + 19 ÷ 16?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 14 − 18 + 12?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 15 ÷ 4 × 2?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 7 − 12 ÷ 4?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 2 ÷ 3 − 6?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 15 − 5 ÷ 2?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 2 ÷ 20 + 7?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 17 ÷ 3 × 5?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 16 + 10 × 19?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 4 ÷ 15 × 13?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 5 ÷ 12 − 7?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 12 ÷ 20 − 7?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 15 + 5 ÷ 14?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 2 + 4 ÷ 19?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 14 ÷ 4 + 6?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 15 × 20 + 2?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 6 − 7 + 2?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 4 × 19 + 2?

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