Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 933 · 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 − 14 ÷ 6?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 10 + 11 × 20?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 5 − 2 ÷ 7?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 4 − 6 ÷ 11?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 10 × 2 ÷ 15?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 4 × 20 ÷ 4?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 18 × 9 + 11?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 13 + 13 − 7 ÷ 14?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 × 2 + 15 ÷ 12?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 6 − 6 ÷ 20?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 11 ÷ 16 − 20?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 6 − 2 × 3?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 17 ÷ 7 + 14?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 15 ÷ 8 − 3?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 13 ÷ 14 + 9?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 4 ÷ 5 × 5?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 4 + 8 × 2?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 19 × 13 ÷ 16?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 6 × 2 ÷ 17?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 2 ÷ 19 × 18?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 19 ÷ 10 − 20?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 2 ÷ 15 + 18?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 13 + 9 × 6?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 13 + 4 ÷ 6?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 10 ÷ 11 × 10?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 7 + 7 − 3?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 7 ÷ 12 × 5?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 15 × 18 + 3?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 2 ÷ 11 + 11?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 17 ÷ 17 + 11?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 4 × 8 ÷ 5?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 12 − 17 + 6?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 6 ÷ 5 × 18?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 8 + 20 ÷ 11?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 3 + 19 × 19?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 12 ÷ 12 × 4?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 16 ÷ 18 + 4?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 6 ÷ 3 − 5?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 5 ÷ 3 × 4?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 2 − 6 + 3?

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