Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 888 · 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 × 6 ÷ 18 + 13?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 × 9 − 20?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 8 × 6 + 6?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 5 − 5 × 2?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 15 × 13 − 5?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 3 ÷ 20 × 5?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 8 − 7 × 14?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 17 + 16 × 7?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 3 ÷ 12 + 15?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 2 − 4 + 2?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 13 − 20 ÷ 5?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 6 × 3 − 18?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 9 − 12 × 11?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 6 + 17 ÷ 12?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 16 + 19 ÷ 9?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 20 + 2 − 3?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 6 ÷ 8 × 19?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 7 − 7 × 11 ÷ 16?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 3 × 11 + 6?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 20 − 2 + 20?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 × 4 − 2 + 2?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 4 × 9 + 11?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 8 − 17 × 3?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 6 + 2 − 3?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 7 ÷ 9 − 6?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 5 − 7 ÷ 2?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 12 + 6 − 12?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 13 ÷ 13 × 20?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 2 ÷ 4 × 4?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 15 ÷ 5 − 8?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 3 × 11 ÷ 15?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 − 2 × 19?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 20 × 7 ÷ 17?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 × 5 + 6 ÷ 5?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 16 × 8 + 7?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 2 ÷ 6 + 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 2 ÷ 15 + 5?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 3 − 3 + 19 ÷ 15?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 4 × 14 − 9?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 8 + 11 ÷ 13?

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