Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 58 · 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 6 × 7 ÷ 18 + 12?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 6 ÷ 9 + 7?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 6 × 20 − 5?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 3 + 9 × 3?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 18 + 6 ÷ 7?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 17 × 14 − 16?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 19 + 4 − 8?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 2 + 11 × 4?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 18 + 15 × 20?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 3 ÷ 15 − 12?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 13 − 13 × 18 + 13?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 18 × 3 ÷ 8?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 16 + 16 ÷ 3?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 16 ÷ 9 + 3?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 14 + 5 ÷ 6?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 14 − 3 ÷ 3?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 16 × 14 + 12?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 18 − 19 × 13?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 10 × 10 − 5?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 4 + 16 × 4?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 11 × 11 + 7?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 11 − 11 ÷ 14?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 2 × 13 ÷ 6?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 16 ÷ 11 + 14?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 4 ÷ 13 × 15?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 7 × 12 ÷ 15?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 12 × 9 ÷ 8?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 6 + 8 ÷ 5?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 2 ÷ 3 + 6?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 14 × 5 + 4?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 2 ÷ 10 × 19?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 14 ÷ 15 × 4?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 5 ÷ 11 × 17?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 15 − 5 + 16?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 3 + 12 − 2?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 8 − 7 + 7?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 20 + 4 − 17?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 19 ÷ 19 + 9?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 11 ÷ 8 + 9?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 3 ÷ 7 + 5?

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