Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 746 · 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 6 − 11 ÷ 16 × 11?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 6 + 16 × 5?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 16 − 3 ÷ 3?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 18 + 15 − 5?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 17 − 18 × 3?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 14 × 4 ÷ 2?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 9 ÷ 16 × 4?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 17 × 6 ÷ 5?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 5 × 10 + 6?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 9 ÷ 2 − 12?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 11 − 11 + 13?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 20 − 12 × 20?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 7 ÷ 5 + 17?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 20 + 16 − 16?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 7 − 20 ÷ 13?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 5 + 5 × 14?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 3 × 7 + 18?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 4 − 14 × 3?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 14 + 7 × 7?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 17 × 6 − 4?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 20 + 20 − 11?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 10 ÷ 4 − 19?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 3 + 13 ÷ 6?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 10 − 5 ÷ 5?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 5 ÷ 11 × 2?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 7 ÷ 6 + 6?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 6 − 19 + 13?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 18 ÷ 17 + 14?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 14 − 2 × 13?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 6 + 6 × 5?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 3 ÷ 7 + 16?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 4 × 9 ÷ 6?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 2 − 15 × 15?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 15 − 5 × 11?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 5 + 14 ÷ 17?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 20 − 9 + 20?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 5 ÷ 2 − 5?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 13 + 17 ÷ 8?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 3 × 20 − 2?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 8 × 17 ÷ 6?

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