Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 597 · 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 − 5 + 2?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 3 × 15 + 12?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 11 ÷ 18 + 16?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 13 ÷ 7 + 14?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 5 + 12 − 12?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 9 + 15 × 16?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 15 ÷ 4 − 2?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 ÷ 2 + 12?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 8 ÷ 4 × 10?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 3 − 5 + 4?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 4 − 6 ÷ 14?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 2 ÷ 6 × 11?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 6 × 3 − 6?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 10 × 8 − 13?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 5 − 10 × 7?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 15 + 18 − 11?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 19 − 5 ÷ 7?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 6 + 9 × 13?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 10 − 4 × 8?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 15 × 10 ÷ 12?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 16 + 4 × 4?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 9 ÷ 7 + 16?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 10 − 10 × 6?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 5 ÷ 16 − 13?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 20 ÷ 4 − 20?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 2 − 14 ÷ 17?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 15 ÷ 19 + 2?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 4 + 16 − 10?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 9 + 2 − 20?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 6 − 3 ÷ 10?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 12 − 18 × 6?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 5 × 10 + 15?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 12 − 3 + 9?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 6 + 16 ÷ 19?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 2 ÷ 2 − 16?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 4 ÷ 20 − 14?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 10 ÷ 2 + 5?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 7 − 12 + 2?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 2 − 19 ÷ 8?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 12 + 2 ÷ 10?

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