Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 137 · 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 + 7 − 15 ÷ 5?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 20 × 2 ÷ 17?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 11 − 6 + 20?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 14 − 8 × 14?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 14 + 14 − 18?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 7 ÷ 12 × 3?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 18 ÷ 2 − 15?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 14 ÷ 12 − 16?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 16 + 2 × 5?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 4 × 9 ÷ 4?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 20 ÷ 11 − 5?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 11 + 12 − 6?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 6 − 4 × 19?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 19 ÷ 14 × 7?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 4 + 8 ÷ 11?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 14 − 4 ÷ 4?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 12 × 13 ÷ 8?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 15 − 13 × 19?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 20 − 5 × 6?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 12 + 19 × 4?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 4 ÷ 11 + 15?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 7 − 6 + 18?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 5 + 2 − 5?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 17 ÷ 2 + 3?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 20 × 10 − 2?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 9 ÷ 7 + 2?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 12 + 7 − 20?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 5 − 3 ÷ 6?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 16 × 6 + 10?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 20 × 6 ÷ 13?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 5 − 4 ÷ 5?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 16 × 13 − 3?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 19 ÷ 15 × 15?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 6 − 14 × 6?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 20 − 15 × 4?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 17 × 13 + 6?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 3 − 3 ÷ 11?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 6 × 11 − 10?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 2 − 5 ÷ 16?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 18 − 3 + 19?

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