Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 437 · 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 + 19 × 16 − 16?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 13 − 6 ÷ 10?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 2 ÷ 4 − 4?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 2 + 14 × 6?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 6 + 6 − 12?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 8 × 6 ÷ 4?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 14 ÷ 6 − 19?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 3 ÷ 19 × 19?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 13 − 18 ÷ 15?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 14 + 9 × 3?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 11 ÷ 7 − 10?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 3 + 16 × 3?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 9 × 15 ÷ 16?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 8 + 18 − 5?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 5 + 12 × 14?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 7 − 19 ÷ 13?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 3 − 6 ÷ 6?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 5 + 14 × 20?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 4 × 19 ÷ 14?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 20 × 3 ÷ 6?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 14 − 12 + 5?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 3 × 2 ÷ 10?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 2 × 3 ÷ 17?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 16 − 3 × 5?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 20 + 14 − 5?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 18 − 9 ÷ 2?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 5 ÷ 8 + 11?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 12 − 20 × 10?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 2 × 19 − 14?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 17 ÷ 16 − 4?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 5 ÷ 8 + 2?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 15 ÷ 18 − 11?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 16 − 18 × 2?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 11 × 4 ÷ 6?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 11 ÷ 12 + 4?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 14 ÷ 15 × 8?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 8 × 12 ÷ 4?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 ÷ 13 − 4?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 20 × 4 − 2?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 9 ÷ 17 + 7?

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