Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 182 · 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 4 × 15 − 14 ÷ 3?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 14 − 7 ÷ 5?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 6 + 10 × 9?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 8 ÷ 18 × 14?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 14 + 5 − 3?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 3 + 5 − 3?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 8 − 18 + 16?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 4 × 14 + 16?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 6 − 16 + 8?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 6 × 11 ÷ 14?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 13 − 17 ÷ 18?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 2 + 18 × 9?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 13 × 19 + 9?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 10 − 6 × 7?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 18 + 9 ÷ 2?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 × 2 − 14 + 14?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 16 ÷ 12 × 19?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 6 + 18 − 7?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 10 ÷ 15 × 12?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 10 − 5 + 17?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 14 + 4 − 10?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 6 − 3 ÷ 15?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 14 ÷ 6 × 3?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 − 16 × 13?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 15 ÷ 17 + 6?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 18 × 10 + 17?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 14 + 6 − 10?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 4 + 5 − 5?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 10 ÷ 4 + 4?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 14 + 5 × 14?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 6 − 3 × 8?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 17 + 19 × 19?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 6 ÷ 3 + 4?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 4 ÷ 15 − 7?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 12 + 12 ÷ 17?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 7 + 20 × 20?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 5 × 20 ÷ 20?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 6 + 14 − 6?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 3 − 8 + 19?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 5 ÷ 12 × 7?

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