Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 392 · 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 8 − 8 × 10 ÷ 14?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 11 + 12 − 6?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 2 ÷ 2 + 2?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 18 × 3 + 7?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 3 + 2 × 5?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 7 × 13 − 2?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 17 ÷ 2 − 8?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 5 × 15 − 17?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 17 ÷ 3 × 20?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 14 × 5 ÷ 2?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 15 + 6 × 2?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 16 + 6 − 7?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 4 ÷ 10 + 20?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 12 + 2 − 10?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 10 − 5 ÷ 6?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 5 − 20 × 3?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 15 × 3 ÷ 7?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 8 × 3 − 2?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 17 ÷ 19 + 7?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 16 × 16 ÷ 2?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 3 × 16 − 16?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 20 ÷ 9 × 10?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 11 − 6 + 20?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 18 × 19 ÷ 2?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 4 ÷ 9 + 10?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 12 − 9 × 9?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 8 + 3 ÷ 5?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 5 × 11 ÷ 20?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 − 16 × 7?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 20 − 3 ÷ 2?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 8 + 13 ÷ 8?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 4 ÷ 19 − 16?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 20 × 4 − 8?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 × 7 − 12 ÷ 2?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 4 ÷ 13 − 13?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 3 ÷ 10 + 17?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 12 ÷ 4 + 13?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 12 + 3 × 16?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 8 + 10 ÷ 5?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 19 × 19 ÷ 20?

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