Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 461 · 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 × 5 − 5 + 2?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 7 ÷ 3 − 17?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 − 5 × 7?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 5 − 5 × 8 ÷ 16?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 3 ÷ 12 − 4?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 11 × 8 − 2?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 16 + 19 × 9?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 13 + 12 ÷ 5?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 2 ÷ 8 × 20?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 8 ÷ 10 + 2?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 5 + 19 ÷ 7?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 16 × 4 ÷ 17?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 7 ÷ 5 + 5?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 6 + 12 ÷ 7?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 3 × 9 + 3?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 18 ÷ 10 × 20?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 8 + 18 × 3?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 17 ÷ 7 − 14?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 19 × 13 + 10?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 8 − 19 ÷ 12?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 15 × 8 ÷ 8?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 11 × 8 ÷ 4?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 6 ÷ 17 − 16?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 9 ÷ 2 − 16?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 15 ÷ 16 + 16?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 ÷ 14 × 2?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 10 ÷ 5 × 20?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 7 + 16 − 14?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 8 × 15 ÷ 4?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 8 ÷ 8 − 11?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 15 × 8 ÷ 11?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 5 + 19 − 15?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 12 × 4 − 7?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 12 − 2 + 6?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 13 + 13 ÷ 4 × 4?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 8 − 6 + 8?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 17 ÷ 5 × 16?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 7 ÷ 2 + 14?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 14 − 8 ÷ 3?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 16 + 9 ÷ 4?

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