Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 574 · 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 − 7 ÷ 18?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 11 ÷ 9 × 8?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 19 − 8 ÷ 3?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 3 × 6 ÷ 14?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 13 + 18 − 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 20 ÷ 11 − 11?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 10 × 5 − 12?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 3 − 14 × 3?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 6 ÷ 13 − 2?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 2 ÷ 3 − 9?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 10 ÷ 8 + 11?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 17 ÷ 10 + 2?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 8 + 20 ÷ 4?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 8 − 20 + 20?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 6 ÷ 6 + 18?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 18 − 20 ÷ 13?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 3 ÷ 15 − 14?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 13 − 17 + 4?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 8 × 8 + 3?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 15 ÷ 5 + 10?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 10 × 6 + 11?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 15 − 15 ÷ 16?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 18 − 6 + 4?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 3 ÷ 7 − 8?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 4 + 13 ÷ 19?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 8 − 17 ÷ 19?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 2 ÷ 14 − 12?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 − 11 ÷ 5?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 2 + 14 ÷ 13?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 8 − 7 + 19?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 17 − 17 + 16?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 4 − 4 ÷ 14?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 7 ÷ 8 × 20?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 12 × 16 ÷ 20?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 14 × 20 − 17?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 2 + 5 − 10?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 18 − 10 + 18?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 18 ÷ 8 × 7?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 5 ÷ 17 + 18?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 2 + 10 ÷ 11?

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