Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 868 · 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 − 9 + 9 × 15?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 6 − 9 ÷ 19?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 11 × 17 − 17?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 11 × 14 ÷ 2?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 5 ÷ 5 + 4?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 10 − 17 ÷ 13?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 4 − 20 × 3?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 13 × 6 ÷ 4?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 16 × 2 ÷ 4?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 3 × 12 ÷ 16?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 14 + 17 × 18?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 16 + 8 − 11?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 2 + 17 ÷ 19?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 14 + 2 × 14?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 8 ÷ 18 + 12?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 13 × 15 + 12?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 16 × 15 + 3?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 17 × 14 ÷ 16?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 11 + 13 ÷ 6?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 5 ÷ 16 × 20?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 14 − 16 × 16?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 13 ÷ 17 + 12?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 3 ÷ 4 + 9?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 9 ÷ 3 − 12?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 14 ÷ 3 × 18?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 9 + 12 ÷ 7?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 11 − 3 × 15?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 4 ÷ 12 − 4?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 18 × 12 ÷ 6?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 2 × 3 − 12?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 15 ÷ 7 × 8?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 10 ÷ 16 − 13?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 16 + 16 − 17?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 13 ÷ 6 + 11?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 19 + 20 ÷ 12?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 2 − 8 × 15?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 − 5 × 2?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 8 − 3 × 16?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 2 − 16 + 14?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 15 − 5 × 3?

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