Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 488 · 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 17 + 2 ÷ 11 − 8?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 17 − 6 + 5?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 9 ÷ 9 × 3?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 20 − 8 × 4?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 4 ÷ 16 − 6?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 12 × 2 ÷ 14?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 4 ÷ 5 − 9?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 2 ÷ 13 − 15?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 5 − 10 + 19?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 3 − 2 ÷ 5?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 2 + 3 × 15?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 14 − 14 + 15?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 2 + 4 − 4?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 6 ÷ 7 × 6?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 6 ÷ 3 × 18?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 6 × 9 ÷ 14?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 5 ÷ 12 + 8?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 12 × 10 ÷ 12?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 3 + 9 ÷ 13?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 13 ÷ 11 + 11?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 6 + 9 ÷ 8?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 10 + 18 ÷ 12?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 ÷ 3 × 7?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 5 + 2 ÷ 16?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 7 + 7 ÷ 7 − 4?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 6 × 3 − 3?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 10 + 11 − 16?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 4 + 17 − 17?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 5 ÷ 11 − 11?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 19 − 7 × 2?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 8 − 4 × 17?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 15 × 13 + 8?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 6 × 13 ÷ 5?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 2 − 6 × 2?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 7 − 14 + 6?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 4 + 3 × 3?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 7 × 20 − 20?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 8 × 12 − 14?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 ÷ 11 + 10?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 8 ÷ 7 + 20?

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