Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 285 · 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 ÷ 4 + 8 − 2?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 19 + 10 ÷ 11?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 13 ÷ 20 + 14?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 10 ÷ 14 − 10?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 6 × 8 − 7?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 15 − 2 ÷ 7?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 9 × 18 − 9?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 10 ÷ 20 + 13?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 17 ÷ 7 × 16?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 ÷ 10 − 17?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 12 ÷ 16 × 15?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 5 ÷ 12 − 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 3 ÷ 5 + 4?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 11 + 4 × 2?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 16 + 8 ÷ 6?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 14 − 20 + 12?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 20 − 15 ÷ 11?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 2 ÷ 18 − 13?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 8 − 4 × 8?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 14 × 2 − 15?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 7 − 10 × 18?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 13 + 19 ÷ 14?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 18 ÷ 2 − 7?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 16 − 11 + 12?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 7 × 13 + 9?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 16 × 13 ÷ 13?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 18 ÷ 8 − 9?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 2 × 17 ÷ 2?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 20 ÷ 18 − 15?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 2 ÷ 5 × 14?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 16 − 11 × 2?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 4 × 14 ÷ 15?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 7 − 7 × 11 ÷ 4?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 8 + 2 × 8?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 11 − 2 + 3?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 20 × 12 ÷ 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 9 + 11 ÷ 16?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 4 ÷ 20 + 9?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 9 ÷ 19 + 15?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 17 − 4 × 9?

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