Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 827 · 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 + 9 − 3 ÷ 17?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 9 − 5 × 9?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 4 ÷ 2 − 17?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 2 ÷ 3 × 4?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 9 ÷ 15 + 13?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 7 ÷ 2 − 3?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 6 + 19 − 3?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 17 × 8 + 2?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 14 × 5 ÷ 12?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 7 − 2 × 8?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 10 − 10 ÷ 12?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 12 + 11 − 3?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 12 × 6 − 4?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 6 ÷ 18 + 6?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 17 ÷ 14 − 12?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 10 − 4 ÷ 19?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 8 ÷ 3 + 9?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 17 × 19 ÷ 14?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 6 ÷ 13 × 9?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 4 ÷ 14 + 17?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 13 ÷ 20 + 17?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 18 × 20 − 10?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 3 + 4 × 12?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 7 ÷ 4 + 17?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 19 + 14 ÷ 17?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 6 − 13 + 14?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 3 − 19 ÷ 15?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 14 × 19 − 4?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 18 × 9 + 12?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 9 + 9 × 3?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 8 ÷ 6 × 18?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 20 + 5 − 9?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 3 + 2 × 16?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 4 ÷ 5 × 3?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 14 × 18 − 18?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 12 + 18 × 2?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 6 × 3 + 20?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 11 + 10 − 11?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 18 − 6 + 16?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 18 − 18 × 2?

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