Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 317 · 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 9 ÷ 15 × 13 + 2?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 15 − 20 ÷ 15?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 6 × 3 + 6?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 14 ÷ 16 − 15?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 13 × 13 + 18?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 6 + 2 − 16?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 16 × 13 ÷ 2?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 4 ÷ 8 × 8?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 6 − 16 ÷ 3?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 20 + 2 − 19?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 14 − 12 + 12?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 14 × 20 ÷ 13?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 20 ÷ 15 × 16?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 13 + 6 ÷ 4?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 7 × 4 ÷ 16?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 18 + 13 × 16?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 15 ÷ 7 × 18?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 13 ÷ 15 + 10?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 3 − 7 ÷ 14?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 13 ÷ 6 − 6?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 5 + 3 × 5?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 17 − 9 ÷ 12?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 3 ÷ 6 × 9?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 3 − 20 × 4?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 10 − 6 × 2?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 3 − 10 ÷ 18?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 15 × 4 − 2?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 11 + 15 − 3?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 13 ÷ 6 × 20?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 6 × 8 − 2?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 4 − 17 × 13?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 15 + 2 ÷ 15?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 6 − 7 ÷ 11?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 15 + 5 − 16?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 18 + 3 − 12?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 18 × 13 ÷ 10?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 16 − 18 × 18?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 15 × 6 − 10?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 2 ÷ 14 + 19?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 16 × 8 ÷ 7?

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