Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 252 · 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 18 + 3 ÷ 2 × 7?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 11 ÷ 17 × 16?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 4 ÷ 19 × 4?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 16 + 4 ÷ 2?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 2 × 16 ÷ 10?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 16 × 11 ÷ 13?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 5 − 19 + 14?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 14 × 11 ÷ 12?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 5 × 2 + 7?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 6 × 3 ÷ 9?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 6 ÷ 16 × 5?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 15 ÷ 4 − 2?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 7 − 2 × 7?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 17 + 17 × 16?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 3 + 5 ÷ 3?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 10 − 2 ÷ 3?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 4 ÷ 9 − 19?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 8 × 3 − 2?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 − 19 ÷ 6?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 12 × 12 + 6?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 11 ÷ 2 − 4?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 4 × 18 + 4?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 2 × 18 + 3?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 16 × 4 ÷ 2?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 11 + 13 × 11?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 11 ÷ 19 × 11?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 10 ÷ 4 + 9?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 8 ÷ 19 × 2?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 6 × 6 ÷ 11?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 16 − 8 ÷ 11?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 5 + 6 − 20?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 17 − 5 × 2?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 4 + 19 × 16?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 4 × 4 − 4?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 10 × 2 + 12?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 15 + 5 − 20?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 18 + 19 × 8?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 9 × 4 + 2?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 12 + 3 ÷ 5?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 5 × 13 ÷ 13?

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