Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 974 · 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 − 13 + 15 ÷ 15?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 3 × 12 ÷ 13?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 12 − 12 ÷ 8?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 20 × 17 + 10?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 16 ÷ 12 + 13?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 15 + 3 × 7?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 6 + 12 × 3?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 9 − 9 + 3?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 8 × 7 ÷ 3?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 10 × 17 ÷ 6?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 5 − 20 × 4?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 20 × 2 + 11?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 11 ÷ 19 − 20?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 12 ÷ 3 × 15?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 15 × 5 + 17?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 15 + 3 ÷ 9?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 5 ÷ 12 − 10?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 11 − 9 + 9?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 2 − 8 ÷ 16?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 12 + 3 ÷ 11?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 18 ÷ 7 + 7?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 11 − 13 ÷ 16?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 16 × 20 ÷ 17?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 7 ÷ 20 + 2?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 × 3 ÷ 7 − 6?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 9 + 3 ÷ 8?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 2 ÷ 18 + 16?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 15 × 9 ÷ 8?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 17 − 9 + 5?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 6 × 7 ÷ 19?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 3 + 10 − 15?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 3 × 2 + 2?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 9 ÷ 8 − 6?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 11 − 20 ÷ 14?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 17 × 2 − 19?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 4 + 12 − 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 12 + 3 − 3?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 13 − 13 + 9 ÷ 2?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 8 ÷ 20 × 16?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 15 ÷ 9 × 16?

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