Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 338 · 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 ÷ 18 × 6 − 17?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 5 − 7 × 3?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 6 × 13 − 10?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 5 − 20 + 10?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 13 − 14 ÷ 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 6 + 5 × 5?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 17 + 6 − 18?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 18 × 14 ÷ 15?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 3 × 3 + 5?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 8 × 4 + 16?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 15 × 2 ÷ 11?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 5 + 12 × 16?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 7 − 15 + 7?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 4 × 20 ÷ 11?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 4 ÷ 15 − 5?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 20 × 4 ÷ 8?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 13 × 18 + 17?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 13 ÷ 16 × 17?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 20 + 15 × 5?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 11 ÷ 20 − 8?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 6 − 6 × 4?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 13 × 6 − 2?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 20 + 14 × 15?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 7 − 2 ÷ 18?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 19 + 10 − 10?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 11 ÷ 15 × 5?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 5 × 16 ÷ 16?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 18 + 19 ÷ 8?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 16 + 9 − 16?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 13 ÷ 15 + 6?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 17 ÷ 9 × 17?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 19 ÷ 20 × 20?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 12 + 12 × 6?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 7 + 7 × 18 ÷ 6?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 5 + 9 ÷ 8?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 10 ÷ 3 × 13?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 16 × 5 + 13?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 12 + 3 − 12?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 16 × 11 − 18?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 10 + 11 − 2?

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