Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 615 · 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 8 − 3 ÷ 10 × 13?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 12 × 15 − 15?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 7 + 17 × 19?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 13 ÷ 16 + 17?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 13 + 18 − 12?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 2 ÷ 18 − 9?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 6 ÷ 10 × 8?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 15 + 18 ÷ 20?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 − 12 ÷ 13?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 2 ÷ 7 − 5?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 9 + 2 × 3?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 17 ÷ 9 + 11?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 16 × 2 + 7?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 16 ÷ 17 + 4?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 3 + 20 ÷ 19?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 8 ÷ 4 − 13?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 13 ÷ 6 + 4?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 15 + 5 × 14?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 19 × 7 + 9?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 5 × 2 − 12?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 12 × 16 + 2?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 17 − 11 ÷ 17?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 8 ÷ 15 × 18?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 13 − 12 ÷ 2?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 20 × 20 − 15?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 7 ÷ 6 − 6?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 18 − 19 + 4?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 3 ÷ 10 − 17?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 2 + 8 × 16?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 14 × 19 − 19?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 6 + 3 × 15?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 9 + 15 ÷ 8?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 − 4 × 7?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 14 + 2 ÷ 19?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 16 − 20 ÷ 13?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 6 + 6 ÷ 12?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 4 − 4 ÷ 16?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 19 − 11 + 3?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 8 + 8 ÷ 13?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 6 + 3 ÷ 4?

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