Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 196 · 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 ÷ 11 − 18 + 2?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 19 − 15 + 17?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 2 × 11 − 11?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 17 ÷ 18 × 3?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 4 ÷ 3 × 14?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 6 × 3 ÷ 3?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 16 − 18 + 19?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 8 × 8 + 2?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 16 × 16 − 3?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 9 + 3 − 4?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 3 ÷ 19 + 2?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 6 − 2 ÷ 3?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 8 ÷ 4 × 17?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 20 × 20 − 3?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 17 − 20 + 7?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 10 + 10 − 6?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 8 ÷ 19 × 4?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 19 − 19 × 5?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 3 − 6 ÷ 7?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 19 ÷ 11 + 4?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 13 − 18 × 18?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 4 ÷ 3 + 8?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 15 × 15 + 8?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 5 × 2 ÷ 5?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 2 − 4 ÷ 4?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 13 + 18 − 6?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 10 ÷ 12 × 10?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 20 ÷ 20 × 15?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 11 − 2 × 2?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 17 − 4 ÷ 4?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 2 × 2 ÷ 20?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 8 × 4 ÷ 11?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 10 + 5 × 9?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 10 × 18 + 2?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 2 − 19 × 16?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 11 + 9 × 3?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 9 − 6 ÷ 9?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 20 ÷ 7 × 11?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 7 + 7 − 8?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 20 − 4 + 14?

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