Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 143 · 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 17 − 18 ÷ 13 + 17?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 2 − 17 + 17?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 7 ÷ 20 + 2?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 17 × 4 − 14?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 14 + 7 ÷ 18?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 8 − 14 + 4?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 19 × 12 ÷ 11?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 12 × 10 ÷ 15?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 9 − 3 ÷ 5?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 17 − 4 + 19?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 10 − 4 × 18?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 14 ÷ 6 − 3?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 2 ÷ 8 − 4?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 3 × 4 ÷ 7?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 8 − 3 ÷ 2?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 7 − 5 ÷ 20?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 18 − 18 + 12?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 6 + 19 × 13?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 10 + 3 ÷ 15?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 − 9 × 2?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 14 − 2 ÷ 3?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 9 + 9 × 4?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 11 ÷ 2 − 15?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 20 + 6 × 2?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 9 + 9 − 7 × 5?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 5 + 13 ÷ 17?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 4 − 11 + 7?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 13 − 18 + 10?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 16 − 4 × 15?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 4 − 17 + 19?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 18 − 12 × 8?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 10 − 16 × 8?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 5 ÷ 2 − 7?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 9 − 3 + 2?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 3 − 18 ÷ 19?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 7 × 13 + 17?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 2 ÷ 2 − 15?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 2 ÷ 19 × 15?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 16 × 16 ÷ 2?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 2 ÷ 4 × 4?

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