Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 896 · 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 5 − 5 ÷ 20 + 5?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 16 − 5 + 2?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 5 − 4 × 20?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 20 − 2 ÷ 7?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 2 ÷ 3 + 11?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 11 ÷ 7 − 12?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 3 ÷ 5 × 6?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 7 × 3 − 14?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 2 × 9 + 16?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 13 × 20 ÷ 15?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 2 ÷ 16 + 17?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 18 − 9 ÷ 11?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 13 × 20 ÷ 15?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 11 − 14 × 2?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 17 × 15 + 5?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 20 × 7 + 17?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 3 ÷ 19 − 7?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 12 + 5 − 5?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 3 ÷ 3 − 12?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 2 + 12 × 3?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 9 ÷ 2 × 14?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 3 − 6 ÷ 16?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 5 + 13 ÷ 2?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 13 + 19 ÷ 19?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 11 − 7 ÷ 6?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 9 − 9 ÷ 3?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 3 × 3 ÷ 6?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 16 ÷ 6 + 5?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 20 × 4 + 9?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 3 + 11 ÷ 9?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 11 ÷ 17 × 7?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 7 × 5 ÷ 2?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 5 × 4 − 2?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 7 × 13 ÷ 12?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 6 − 16 + 10?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 13 + 13 ÷ 13 − 3?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 10 − 8 + 19?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 2 + 2 × 4?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 3 − 6 × 7?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 11 × 20 − 2?

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