Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 436 · 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 11 − 20 × 17 ÷ 7?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 7 − 7 × 2 ÷ 12?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 3 − 14 ÷ 19?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 5 ÷ 8 − 6?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 11 × 6 ÷ 7?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 20 ÷ 18 × 20?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 14 − 18 ÷ 14?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 14 + 17 ÷ 18?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 13 ÷ 6 + 2?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 3 × 6 ÷ 2?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 18 + 19 × 3?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 2 + 5 × 9?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 9 ÷ 3 × 14?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 17 × 2 − 2?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 14 × 3 ÷ 9?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 13 ÷ 13 + 12?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 13 − 13 × 16 + 20?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 × 2 − 11 + 7?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 13 ÷ 7 + 18?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 5 − 15 × 3?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 5 + 8 − 8?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 6 + 17 ÷ 13?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 9 + 4 − 4?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 20 × 20 − 19?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 17 ÷ 3 − 13?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 7 − 14 × 4?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 8 − 2 ÷ 5?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 19 ÷ 5 + 4?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 19 × 7 ÷ 10?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 6 + 12 × 5?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 15 × 5 − 3?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 5 ÷ 20 + 4?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 18 × 7 ÷ 14?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 14 + 2 × 14?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 2 + 13 ÷ 9?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 14 + 7 ÷ 19?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 5 × 20 + 5?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 8 ÷ 2 × 4?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 10 + 12 ÷ 11?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 6 + 3 − 10?

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