Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 878 · 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 10 − 7 ÷ 16 + 4?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 18 × 5 ÷ 16?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 18 ÷ 8 + 12?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 16 ÷ 15 × 20?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 4 × 4 − 4?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 19 − 12 ÷ 16?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 14 − 7 ÷ 3?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 14 − 14 × 3?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 15 × 9 − 2?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 7 + 4 ÷ 15?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 16 × 15 ÷ 19?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 17 − 5 + 17?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 13 + 17 ÷ 5?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 15 ÷ 14 × 13?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 14 − 16 + 18?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 7 − 14 × 5?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 3 ÷ 3 − 11?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 2 ÷ 4 + 11?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 17 − 11 ÷ 14?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 3 ÷ 12 × 14?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 7 + 3 ÷ 15?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 2 × 10 − 2?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 18 ÷ 12 − 13?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 16 ÷ 18 − 13?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 20 − 9 ÷ 16?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 18 ÷ 7 + 14?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 10 − 7 ÷ 9?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 9 − 12 ÷ 5?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 11 + 2 ÷ 19?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 8 × 15 + 5?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 2 ÷ 7 − 15?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 15 ÷ 13 + 4?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 15 − 4 × 13?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 9 ÷ 3 − 20?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 15 + 2 × 5?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 16 ÷ 3 + 6?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 3 − 20 ÷ 7?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 8 − 11 + 7?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 3 ÷ 2 + 10?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 7 ÷ 15 − 17?

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