Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 616 · 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 19 − 8 ÷ 17 × 18?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 12 + 3 ÷ 5?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 20 ÷ 18 × 5?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 18 + 3 − 18?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 20 − 3 + 20?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 3 − 3 + 14 × 9?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 6 × 6 ÷ 5?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 14 − 5 ÷ 17?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 3 ÷ 9 − 19?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 2 − 2 ÷ 18?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 5 × 3 + 3?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 16 ÷ 3 × 9?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 9 ÷ 8 + 7?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 12 + 16 ÷ 9?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 8 ÷ 7 × 17?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 4 × 13 + 7?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 18 − 8 + 6?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 × 3 + 5 − 4?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 17 + 17 ÷ 19?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 2 − 10 + 10?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 20 ÷ 5 + 5?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 4 × 14 − 9?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 3 × 3 − 3?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 5 × 11 + 11?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 18 + 10 × 2?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 9 ÷ 2 − 6?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 15 ÷ 20 + 6?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 3 × 4 ÷ 14?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 7 − 4 × 16?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 15 ÷ 16 × 11?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 18 + 17 ÷ 6?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 14 × 19 + 4?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 17 + 14 ÷ 15?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 10 × 2 ÷ 11?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 3 + 16 × 6?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 7 × 17 ÷ 12?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 9 × 16 − 4?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 13 + 16 − 4?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 12 × 2 ÷ 13?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 20 + 4 − 7?

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