Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 119 · 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 7 − 6 ÷ 2 × 7?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 13 + 4 ÷ 9?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 17 × 12 + 2?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 14 + 16 × 3?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 6 − 6 × 3?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 5 + 2 − 5?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 7 × 18 ÷ 5?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 2 ÷ 18 + 5?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 15 × 15 ÷ 5?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 5 − 8 ÷ 4?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 × 13 ÷ 6?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 4 × 10 − 13?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 8 ÷ 8 × 17?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 19 ÷ 14 + 5?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 18 + 2 − 5?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 20 − 12 ÷ 8?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 15 × 20 − 8?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 3 − 4 × 13?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 13 − 8 ÷ 4?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 2 ÷ 10 − 16?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 5 ÷ 16 + 16?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 7 ÷ 3 − 17?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 16 − 16 × 7?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 2 ÷ 2 − 12?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 6 − 6 + 11?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 16 × 18 + 7?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 11 − 2 × 20?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 12 − 6 × 3?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 2 ÷ 16 + 17?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 10 − 2 × 6?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 5 − 9 × 9?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 16 ÷ 15 + 2?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 14 − 18 × 4?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 9 × 18 + 9?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 9 + 5 × 19?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 12 + 14 − 9?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 12 − 16 ÷ 8?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 18 ÷ 9 + 5?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 8 × 10 + 20?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 14 × 7 ÷ 13?

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