Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 478 · 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 18 × 4 ÷ 10 − 19?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 4 ÷ 17 + 17?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 6 + 3 × 2?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 20 − 5 + 16?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 11 − 20 × 11?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 9 + 2 × 12?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 19 − 8 + 16?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 3 − 9 ÷ 15?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 2 + 7 ÷ 3?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 6 × 6 + 2?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 − 13 + 12?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 8 − 5 + 3?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 15 ÷ 17 × 19?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 19 + 19 ÷ 4?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 9 ÷ 15 + 15?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 12 ÷ 9 × 11?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 8 ÷ 15 + 5?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 16 × 16 ÷ 17?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 5 − 6 ÷ 20?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 5 × 17 − 20?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 2 × 14 ÷ 20?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 2 × 12 + 12?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 11 × 7 ÷ 19?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 14 ÷ 19 + 8?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 11 × 10 ÷ 6?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 16 × 19 ÷ 14?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 18 × 9 + 10?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 4 × 11 − 20?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 2 − 4 ÷ 16?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 15 ÷ 18 − 8?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 9 ÷ 15 − 19?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 9 ÷ 7 − 16?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 16 × 5 + 5?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 14 ÷ 18 × 18?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 19 ÷ 8 × 13?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 4 ÷ 18 + 16?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 6 − 11 × 8?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 19 × 12 − 10?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 7 + 4 ÷ 7?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 5 × 20 − 14?

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