Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 860 · 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 2 + 12 ÷ 5 × 5?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 7 − 11 ÷ 6?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 9 × 12 + 3?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 ÷ 14 + 6?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 10 ÷ 3 × 13?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 14 + 7 × 12?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 4 ÷ 12 + 11?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 17 − 9 ÷ 18?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 16 + 9 − 2?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 19 × 3 ÷ 19?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 6 − 17 × 13?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 3 − 12 × 20?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 14 ÷ 10 × 17?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 18 ÷ 13 − 9?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 8 + 2 − 4?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 11 × 18 ÷ 7?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 5 − 14 ÷ 2?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 15 × 13 + 8?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 14 × 3 ÷ 20?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 11 ÷ 5 + 20?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 8 + 8 × 11?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 13 − 12 + 4?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 9 + 2 × 12?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 10 + 12 × 15?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 6 ÷ 6 − 6?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 18 + 6 ÷ 17?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 18 − 3 ÷ 14?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 12 ÷ 3 − 7?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 5 ÷ 2 × 5?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 3 − 14 + 6?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 20 + 9 − 15?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 8 + 19 × 6?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 7 + 7 ÷ 10?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 19 + 19 ÷ 19 × 3?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 4 × 17 ÷ 15?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 15 − 8 ÷ 4?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 19 ÷ 5 + 4?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 2 ÷ 8 − 15?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 9 ÷ 3 × 10?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 12 ÷ 6 − 16?

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