Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 457 · 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 6 × 14 ÷ 14 − 14?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 8 − 13 + 17?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 14 + 15 ÷ 18?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 5 − 4 × 10?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 9 + 9 × 18?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 10 − 10 ÷ 9?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 19 ÷ 20 × 2?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 6 + 3 × 7?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 17 − 16 × 4?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 14 × 2 − 11?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 8 × 13 ÷ 10?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 15 − 20 ÷ 3?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 20 ÷ 3 × 7?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 8 − 13 + 10?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 2 × 5 ÷ 13?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 6 ÷ 11 × 5?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 5 × 7 ÷ 12?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 14 + 15 − 13?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 7 ÷ 3 − 9?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 5 ÷ 3 − 17?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 2 × 18 − 18?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 7 − 7 × 12 + 11?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 10 + 8 × 12?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 5 ÷ 7 + 8?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 15 + 7 ÷ 11?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 10 + 10 × 11?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 15 + 4 × 7?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 2 × 4 ÷ 6?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 17 − 11 + 12?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 12 − 19 + 4?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 5 − 18 + 15?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 16 ÷ 13 − 3?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 4 + 4 ÷ 4?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 15 ÷ 17 − 16?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 11 − 15 + 11?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 9 × 9 ÷ 2?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 5 − 10 × 11?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 2 + 2 ÷ 10?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 4 + 14 ÷ 19?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 16 − 11 ÷ 4?

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