Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 294 · 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 ÷ 15 × 9?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 18 + 5 − 6?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 7 − 5 + 2?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 9 ÷ 2 × 12?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 7 ÷ 10 × 11?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 5 ÷ 10 − 2?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 19 − 3 × 13?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 6 − 9 + 4?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 4 − 14 × 15?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 5 + 3 − 5?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 20 − 10 × 17?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 18 + 10 × 15?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 4 ÷ 11 + 14?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 8 × 3 ÷ 8?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 5 × 4 ÷ 13?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 3 + 19 × 19?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 16 ÷ 6 − 2?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 20 ÷ 6 × 10?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 5 − 5 ÷ 7?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 20 + 4 − 14?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 15 − 11 + 20?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 4 ÷ 7 + 20?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 5 × 18 ÷ 19?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 ÷ 16 − 9?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 4 + 11 − 17?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 6 × 16 − 5?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 4 ÷ 16 + 14?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 6 − 5 × 13?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 13 × 13 − 5?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 8 ÷ 8 − 3?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 16 × 4 ÷ 4?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 9 + 3 × 3 ÷ 9?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 10 − 19 ÷ 14?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 3 − 8 × 4?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 11 ÷ 13 + 18?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 16 − 6 + 3?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 13 − 16 + 6?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 12 ÷ 3 + 2?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 4 − 5 + 6?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 16 − 16 + 13?

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