Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 695 · 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 ÷ 6 − 15 × 18?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 7 × 7 − 13?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 13 × 10 − 5?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 18 − 9 + 3?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 10 ÷ 5 × 13?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 6 − 12 ÷ 5?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 10 ÷ 13 × 16?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 3 ÷ 4 × 16?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 4 − 14 + 19?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 8 − 9 + 19?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 5 − 11 ÷ 5?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 9 × 6 + 17?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 11 + 11 × 5?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 6 × 2 ÷ 3?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 14 + 7 × 6?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 5 − 2 × 2?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 4 ÷ 8 + 16?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 4 × 6 + 6?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 14 ÷ 9 − 9?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 2 × 12 ÷ 6?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 12 × 19 − 7?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 3 × 15 − 13?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 7 + 6 × 20?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 12 ÷ 15 + 19?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 20 × 4 ÷ 13?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 16 + 7 ÷ 12?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 2 × 8 − 12?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 4 − 3 × 19?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 16 − 18 + 2?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 5 ÷ 14 + 3?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 11 ÷ 20 + 20?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 3 ÷ 18 + 17?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 10 − 7 + 10?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 13 + 13 × 3?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 18 + 4 × 2?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 4 ÷ 20 − 2?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 18 × 12 ÷ 20?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 6 × 7 − 7?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 18 × 3 − 14?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 12 − 2 × 2?

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