Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 563 · 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 15 + 5 × 19 ÷ 20?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 17 ÷ 8 × 8?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 14 − 2 × 3?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 14 ÷ 2 × 5?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 4 × 4 − 18?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 14 + 4 ÷ 2?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 13 × 15 ÷ 2?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 4 − 3 + 12?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 6 + 10 ÷ 17?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 13 − 19 ÷ 8?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 20 − 11 + 10?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 4 × 15 ÷ 19?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 18 − 5 ÷ 11?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 18 + 9 × 8?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 16 − 4 × 2?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 16 × 11 + 11?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 4 × 8 − 5?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 2 + 11 × 7?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 9 − 13 + 19?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 12 + 3 − 18?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 18 × 18 + 4?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 6 × 7 ÷ 8?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 4 ÷ 9 × 16?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 2 ÷ 13 + 8?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 2 + 9 − 3?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 8 + 2 × 11?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 5 − 2 × 8?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 10 − 8 × 11?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 3 ÷ 20 − 13?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 17 − 14 × 14?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 5 ÷ 5 + 5?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 2 ÷ 17 × 11?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 3 − 10 + 14?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 7 − 20 ÷ 18?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 18 − 15 × 19?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 2 + 8 ÷ 17?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 12 + 10 − 3?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 3 − 8 + 7?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 7 − 16 × 4?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 2 ÷ 17 + 7?

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