Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 48 · 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 2 × 12 ÷ 12 + 3?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 3 − 20 × 14?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 6 × 18 − 18?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 6 × 6 − 3?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 18 ÷ 14 × 3?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 17 + 8 ÷ 2?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 2 − 16 ÷ 9?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 2 − 18 + 3?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 8 ÷ 9 − 12?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 10 + 5 × 7?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 20 − 6 ÷ 12?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 6 ÷ 14 × 4?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 2 − 16 ÷ 16?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 15 − 3 × 3?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 4 − 12 ÷ 15?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 3 ÷ 15 + 4?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 10 × 12 ÷ 10?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 12 + 10 − 3?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 13 ÷ 10 × 14?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 7 × 12 + 6?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 16 + 9 − 6?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 17 + 2 − 19?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 18 + 3 − 3?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 17 + 11 × 17?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 12 ÷ 10 × 2?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 6 ÷ 9 + 11?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 13 − 6 + 5?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 17 ÷ 16 × 14?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 15 ÷ 12 + 9?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 10 × 13 − 16?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 9 × 6 + 4?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 17 − 2 × 5?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 17 ÷ 12 × 13?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 18 × 13 ÷ 2?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 14 − 2 ÷ 13?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 20 − 16 ÷ 15?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 12 ÷ 15 + 12?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 6 − 10 + 2?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 5 − 8 + 4?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 5 ÷ 20 × 10?

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