Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 398 · 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 − 14 × 2 ÷ 11?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 14 + 12 ÷ 15?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 5 ÷ 13 − 5?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 18 ÷ 17 × 4?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 2 ÷ 4 + 2?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 4 + 3 × 12?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 7 × 11 + 15?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 19 × 2 ÷ 9?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 7 × 8 + 5?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 4 ÷ 19 × 5?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 5 − 14 ÷ 14?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 7 × 12 − 18?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 3 ÷ 20 + 20?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 11 × 10 − 2?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 10 + 8 × 6?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 12 + 10 − 5?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 4 ÷ 18 − 10?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 15 ÷ 6 − 9?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 18 − 5 + 15?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 8 − 15 + 14?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 16 ÷ 5 + 15?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 4 × 6 − 3?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 19 − 9 ÷ 4?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 10 × 5 ÷ 4?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 + 7 × 8?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 9 + 3 − 10?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 16 × 17 − 17?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 2 × 16 ÷ 17?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 20 − 2 + 6?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 18 × 3 + 7?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 13 × 11 ÷ 5?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 4 − 2 × 20?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 17 ÷ 12 × 7?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 20 × 13 ÷ 4?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 10 ÷ 20 − 4?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 4 + 13 × 15?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 12 × 3 + 4?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 7 ÷ 12 × 6?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 12 − 9 ÷ 6?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 7 × 19 + 7?

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