Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 646 · 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 + 17 ÷ 10 − 2?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 3 + 2 − 13?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 8 ÷ 3 × 5?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 12 − 15 × 3?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 10 − 2 ÷ 7?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 × 9 ÷ 3?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 6 × 2 ÷ 12?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 14 − 11 + 4?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 3 × 3 ÷ 8?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 5 ÷ 2 × 14?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 8 + 4 ÷ 6?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 3 + 6 × 9?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 14 + 2 × 15?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 9 + 18 × 16?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 10 − 19 × 7?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 18 × 15 ÷ 16?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 4 − 4 + 6?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 4 + 16 ÷ 3?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 2 + 2 × 7?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 3 − 5 ÷ 16?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 4 ÷ 16 + 14?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 19 + 15 − 5?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 3 + 8 − 6?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 11 + 11 − 3?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 9 ÷ 11 + 20?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 10 ÷ 2 − 13?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 7 ÷ 16 × 14?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 3 ÷ 14 − 3?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 5 ÷ 6 + 6?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 20 − 9 + 3?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 2 − 7 × 8?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 12 − 2 ÷ 3?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 19 − 19 + 4?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 2 ÷ 15 × 18?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 10 ÷ 17 + 11?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 12 − 9 + 6?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 13 ÷ 5 + 2?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 8 ÷ 5 − 5?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 20 × 20 + 7?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 18 − 16 × 19?

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