Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 151 · 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 ÷ 4 + 6 − 12?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 7 ÷ 13 × 14?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 4 × 14 + 7?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 9 ÷ 9 × 20?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 8 ÷ 9 × 12?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 13 ÷ 8 × 3?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 6 − 13 × 4?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 20 + 4 ÷ 3?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 10 − 6 + 14?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 2 ÷ 9 × 13?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 9 × 8 ÷ 9?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 2 ÷ 20 × 14?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 9 × 17 ÷ 15?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 11 ÷ 18 × 6?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 19 ÷ 18 + 18?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 15 − 15 ÷ 13?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 9 × 9 ÷ 4?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 14 ÷ 15 + 18?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 10 ÷ 5 + 10?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 14 ÷ 3 × 14?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 5 ÷ 3 + 14?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 20 × 10 + 3?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 16 × 17 ÷ 20?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 12 × 16 ÷ 19?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 16 + 8 × 8?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 7 × 4 ÷ 5?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 8 ÷ 16 × 18?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 14 − 7 ÷ 5?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 15 × 11 + 6?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 17 − 4 ÷ 3?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 20 × 6 − 9?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 5 + 8 − 5?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 13 × 5 ÷ 2?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 18 × 3 ÷ 17?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 6 + 15 − 5?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 17 + 4 × 4?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 2 ÷ 18 − 2?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 6 ÷ 3 − 3?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 13 × 9 ÷ 12?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 16 × 16 ÷ 9?

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