Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 228 · 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 13 × 12 ÷ 20 + 19?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 5 − 6 × 13?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 10 − 19 + 12?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 9 − 8 ÷ 5?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 7 × 11 ÷ 2?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 20 ÷ 4 + 11?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 2 − 14 ÷ 8?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 18 − 4 + 3?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 6 − 19 ÷ 4?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 14 − 7 ÷ 8?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 14 ÷ 16 − 18?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 19 − 19 × 13 + 20?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 8 × 18 ÷ 10?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 20 − 20 ÷ 16?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 5 − 15 ÷ 17?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 8 + 8 × 16?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 16 − 8 ÷ 20?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 9 − 12 × 12?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 18 − 6 ÷ 12?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 15 − 7 + 2?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 9 ÷ 7 + 6?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 17 + 13 × 15?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 12 − 2 + 17?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 18 + 20 × 2?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 16 + 15 ÷ 9?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 6 ÷ 7 − 14?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 18 + 8 ÷ 7?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 2 + 16 × 4?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 17 + 17 ÷ 13?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 13 + 9 × 15?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 4 ÷ 10 − 17?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 9 × 13 ÷ 20?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 18 + 5 ÷ 18?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 4 ÷ 17 − 17?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 3 − 9 ÷ 11?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 13 + 6 − 12?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 6 − 18 × 8?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 − 20 × 18?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 7 × 3 ÷ 2?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 13 + 3 − 3?

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