Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 76 · 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 14 × 9 ÷ 5 + 3?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 13 + 2 ÷ 14?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 5 + 5 × 10?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 20 × 3 ÷ 5?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 14 + 19 − 14?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 6 − 13 × 5?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 10 + 11 × 7?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 9 − 12 ÷ 7?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 14 − 5 + 4?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 3 ÷ 8 × 3?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 17 + 3 − 20?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 10 ÷ 9 × 3?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 4 + 6 × 20?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 16 + 9 × 9?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 17 + 10 ÷ 20?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 10 ÷ 14 + 5?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 12 ÷ 8 − 18?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 14 ÷ 12 − 3?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 19 − 4 ÷ 7?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 4 − 5 × 3?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 11 + 17 ÷ 12?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 8 − 5 × 12?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 13 ÷ 6 − 2?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 × 16 − 2?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 7 − 5 × 5?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 2 × 2 − 18?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 11 × 4 + 19?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 14 × 12 − 2?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 20 − 13 × 13?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 17 + 9 ÷ 18?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 14 − 3 × 3?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 15 + 10 − 6?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 15 × 14 ÷ 3?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 3 + 6 × 3?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 10 ÷ 2 × 10?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 14 ÷ 5 + 9?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 19 − 12 + 3?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 7 ÷ 20 − 6?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 16 + 11 ÷ 8?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 8 + 2 − 9?

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