Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 244 · 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 9 − 6 + 2 ÷ 8?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 8 ÷ 5 + 2?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 16 ÷ 8 × 6?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 18 − 6 ÷ 6?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 2 + 4 − 4?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 20 ÷ 6 × 11?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 12 ÷ 12 + 2?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 5 ÷ 8 × 19?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 18 ÷ 13 × 16?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 5 + 14 × 14?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 13 + 18 − 18?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 15 ÷ 4 × 18?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 11 + 12 ÷ 6?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 11 − 2 × 3?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 13 ÷ 5 + 5?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 14 − 14 × 2?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 15 × 5 ÷ 17?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 18 + 14 ÷ 7?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 15 − 8 ÷ 12?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 12 + 6 ÷ 18?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 13 − 20 × 10?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 7 + 6 ÷ 2?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 17 + 17 × 2?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 12 − 2 × 5?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 8 − 14 ÷ 6?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 11 ÷ 2 − 6?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 19 − 12 × 18?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 16 ÷ 3 × 15?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 3 × 13 + 20?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 3 + 3 ÷ 16?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 14 × 14 ÷ 17?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 2 ÷ 3 − 6?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 5 ÷ 5 + 16?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 3 × 18 + 12?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 6 ÷ 19 − 19?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 4 ÷ 20 + 5?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 16 − 6 × 2?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 2 × 12 − 20?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 5 + 16 ÷ 10?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 15 × 12 − 5?

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