Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 733 · 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 14 − 10 × 6 ÷ 18?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 5 × 9 ÷ 18?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 10 × 2 − 2?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 10 × 5 − 7?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 15 ÷ 14 + 14?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 4 − 8 × 8?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 2 ÷ 8 − 11?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 6 × 9 ÷ 13?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 16 − 6 + 17?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 10 ÷ 14 − 7?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 7 − 10 ÷ 13?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 9 − 15 + 14?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 17 × 13 ÷ 3?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 3 + 10 ÷ 10?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 2 × 9 ÷ 4?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 2 − 20 ÷ 16?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 18 ÷ 15 + 6?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 4 × 2 ÷ 4?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 4 ÷ 6 + 16?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 19 ÷ 4 − 7?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 18 × 2 + 3?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 12 − 12 ÷ 9?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 3 ÷ 18 − 19?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 14 − 3 ÷ 12?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 3 ÷ 10 + 5?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 10 − 2 ÷ 8?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 3 − 14 + 7?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 2 ÷ 8 − 13?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 3 + 3 − 8 × 4?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 10 − 10 × 5?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 5 ÷ 13 × 12?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 9 + 3 × 18?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 20 × 2 ÷ 20?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 2 × 8 ÷ 8?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 11 ÷ 15 − 5?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 6 − 6 ÷ 15?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 10 ÷ 9 + 9?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 2 ÷ 9 + 5?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 8 × 3 − 4?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 3 + 2 − 12?

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