Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 166 · 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 20 − 19 ÷ 18 × 17?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 12 × 4 − 19?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 5 ÷ 18 × 6?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 6 × 7 − 6?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 15 × 8 − 16?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 6 ÷ 20 × 3?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 2 − 2 + 5?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 3 × 9 + 9?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 10 + 7 − 9?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 16 ÷ 20 + 19?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 4 ÷ 15 × 18?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 2 − 8 × 11?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 19 + 15 ÷ 18?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 9 ÷ 9 + 14?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 12 × 4 ÷ 5?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 8 + 10 × 7?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 19 − 20 ÷ 6?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 4 − 17 ÷ 13?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 17 + 17 ÷ 12?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 2 ÷ 17 × 20?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 12 − 6 × 4?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 15 + 10 − 4?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 6 ÷ 2 × 6?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 7 − 14 × 6?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 5 − 13 ÷ 6?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 13 ÷ 15 × 5?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 18 × 2 ÷ 5?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 10 + 17 × 4?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 6 × 3 + 11?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 14 − 20 × 5?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 7 ÷ 13 × 4?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 19 ÷ 8 × 6?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 14 × 7 + 3?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 20 × 17 − 15?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 20 + 7 ÷ 3?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 11 × 3 ÷ 18?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 2 − 13 ÷ 3?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 3 − 11 × 3?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 16 × 4 + 2?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 20 × 12 ÷ 4?

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