Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 239 · 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 2 + 2 − 4 ÷ 7?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 8 × 5 − 7?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 7 ÷ 20 − 2?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 6 − 14 × 3?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 3 ÷ 5 + 7?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 18 × 3 ÷ 13?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 19 + 11 ÷ 2?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 5 ÷ 6 + 19?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 12 − 12 ÷ 8?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 2 ÷ 16 − 4?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 4 ÷ 14 × 11?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 2 × 16 + 16?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 19 ÷ 19 × 20?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 19 × 5 − 4?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 11 − 9 ÷ 9?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 19 × 12 + 2?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 5 − 4 ÷ 15?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 3 + 3 − 8?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 5 + 13 × 8?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 15 + 3 − 5?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 15 × 10 − 5?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 13 ÷ 3 × 9?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 2 ÷ 16 − 16?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 10 ÷ 5 + 17?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 16 × 3 − 15?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 9 × 4 − 11?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 11 − 15 × 5?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 13 − 7 + 4?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 2 − 6 ÷ 2?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 16 − 17 × 16?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 7 + 7 ÷ 13?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 4 ÷ 2 − 4?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 17 + 15 ÷ 16?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 × 17 + 18?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 15 × 12 + 4?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 19 × 15 − 15?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 6 ÷ 6 + 19?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 10 ÷ 17 × 3?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 9 − 15 + 10?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 5 + 5 − 2?

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