Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 614 · 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 ÷ 20 + 13 × 12?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 2 × 8 ÷ 6?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 4 ÷ 9 × 8?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 × 8 ÷ 9?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 14 − 5 + 7?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 14 × 20 + 8?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 16 × 19 + 19?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 20 + 4 ÷ 3?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 2 + 7 ÷ 19?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 20 ÷ 5 + 16?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 18 + 12 × 2?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 6 + 3 × 10?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 4 + 19 − 15?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 7 ÷ 8 − 7?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 5 − 14 × 15?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 3 − 15 + 8?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 14 + 15 × 5?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 3 + 3 ÷ 2?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 9 ÷ 18 − 17?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 2 ÷ 2 − 16?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 2 − 2 ÷ 20?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 12 ÷ 12 + 6?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 12 ÷ 10 × 8?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 15 ÷ 3 × 13?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 10 × 8 ÷ 19?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 12 ÷ 6 − 7?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 3 + 10 × 2?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 7 + 20 − 2?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 17 − 18 + 9?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 3 + 18 ÷ 17?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 3 ÷ 12 + 6?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 16 ÷ 8 − 8?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 2 × 13 + 4?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 20 ÷ 5 − 4?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 10 − 5 + 18?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 10 − 3 + 6?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 6 ÷ 16 + 3?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 6 + 16 − 4?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 6 − 16 × 4?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 12 ÷ 4 × 14?

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