Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 991 · 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 11 − 5 ÷ 14 × 2?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 3 + 20 ÷ 2?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 8 ÷ 3 − 6?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 9 + 12 × 2?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 8 − 14 ÷ 7?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 13 ÷ 13 − 2?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 10 + 7 ÷ 2?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 15 − 3 + 14?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 3 × 20 ÷ 13?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 5 − 16 × 16?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 11 + 6 ÷ 17?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 15 ÷ 9 − 10?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 3 × 4 − 2?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 × 13 ÷ 17?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 13 × 19 + 6?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 20 − 4 + 9?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 2 + 12 ÷ 18?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 12 ÷ 17 × 3?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 5 − 11 × 15?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 6 − 16 × 2?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 17 − 12 × 17?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 2 − 2 × 2 + 11?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 5 − 14 × 2?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 3 − 18 × 8?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 9 ÷ 18 + 9?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 6 − 15 ÷ 7?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 20 × 11 ÷ 2?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 15 − 5 × 19?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 3 ÷ 2 − 9?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 17 + 3 − 17?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 9 ÷ 7 + 7?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 8 − 9 × 6?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 10 × 5 + 5?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 18 − 5 + 9?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 17 − 2 + 10?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 × 4 + 7 ÷ 7?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 14 − 14 × 2?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 10 − 11 × 6?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 16 + 20 − 5?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 10 − 2 + 15?

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