Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 200 · 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 12 ÷ 4 + 12 − 3?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 6 ÷ 12 × 10?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 20 − 7 × 18?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 18 − 7 + 18?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 18 + 12 ÷ 18?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 13 × 20 − 15?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 13 − 9 ÷ 16?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 8 ÷ 12 × 13?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 8 ÷ 9 + 6?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 7 × 7 + 2?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 4 + 10 − 20?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 7 × 5 + 5?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 7 × 6 − 12?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 × 17 + 17 ÷ 17?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 3 × 3 ÷ 10?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 4 + 6 ÷ 2?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 7 ÷ 3 − 3?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 7 + 7 ÷ 6?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 13 + 14 − 14?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 4 − 4 × 14?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 11 × 7 + 18?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 15 − 11 + 6?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 13 ÷ 20 × 5?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 7 − 14 ÷ 6?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 7 − 16 ÷ 15?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 8 − 14 × 10?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 4 ÷ 3 × 5?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 14 ÷ 17 × 2?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 15 ÷ 11 − 12?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 15 × 4 ÷ 12?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 12 − 4 × 3?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 × 9 ÷ 15 − 3?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 ÷ 20 + 20?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 14 + 6 ÷ 18?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 20 × 13 − 13?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 4 + 2 ÷ 19?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 4 − 2 ÷ 19?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 10 ÷ 10 × 17?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 14 × 15 + 3?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 8 × 4 ÷ 8?

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