Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 887 · 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 15 + 4 − 4 ÷ 11?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 16 − 2 ÷ 10?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 × 17 ÷ 20?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 7 + 16 × 4?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 9 + 8 ÷ 12?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 13 × 6 ÷ 16?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 7 ÷ 9 + 6?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 8 ÷ 7 × 6?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 8 + 12 × 4?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 15 × 3 ÷ 15?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 9 + 3 − 3?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 2 ÷ 17 + 20?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 20 − 4 × 7?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 11 ÷ 12 − 5?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 18 + 8 − 2?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 6 ÷ 16 + 3?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 10 − 2 × 7?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 7 − 2 ÷ 14?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 6 ÷ 5 − 10?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 13 + 5 ÷ 12?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 9 + 11 ÷ 8?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 5 + 4 − 2?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 3 ÷ 4 × 18?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 13 ÷ 5 × 10?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 4 ÷ 8 × 4?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 11 − 10 × 16?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 20 − 17 + 14?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 20 + 3 − 5?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 2 × 3 + 6?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 3 ÷ 3 + 6?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 15 × 18 + 16?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 11 − 2 + 16?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 5 − 12 ÷ 5?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 11 ÷ 8 + 20?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 18 ÷ 2 × 16?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 18 − 16 ÷ 11?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 14 − 20 × 2?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 6 × 20 ÷ 19?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 15 + 14 × 18?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 11 + 11 ÷ 18 × 6?

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