Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 608 · 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 18 − 6 + 9 ÷ 14?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 7 + 7 ÷ 3 − 15?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 8 × 8 − 2?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 12 + 12 × 19?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 15 − 15 + 4?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 11 ÷ 19 × 14?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 16 − 10 ÷ 3?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 12 − 15 × 5?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 5 − 10 × 15?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 10 + 10 ÷ 13?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 17 − 15 ÷ 18?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 4 ÷ 2 + 8?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 2 ÷ 2 × 8?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 10 × 7 ÷ 7?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 4 − 17 ÷ 6?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 7 ÷ 6 × 15?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 12 × 5 ÷ 11?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 4 ÷ 6 × 3?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 2 − 6 ÷ 6?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 20 × 14 + 18?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 4 − 8 + 16?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 8 + 3 × 16?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 16 + 4 ÷ 12?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 18 − 17 + 14?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 18 + 3 − 15?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 17 × 7 ÷ 16?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 20 − 13 + 12?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 8 × 4 − 2?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 5 ÷ 6 × 12?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 11 + 11 × 5?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 5 − 15 ÷ 8?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 15 × 16 ÷ 6?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 8 − 14 + 14?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 10 + 14 − 18?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 4 ÷ 14 + 8?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 16 ÷ 6 × 9?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 12 − 12 + 18?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 3 ÷ 18 × 18?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 ÷ 2 − 3?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 12 − 18 + 8?

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