Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 255 · 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 4 ÷ 14 − 17 + 2?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 2 − 12 × 20?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 11 ÷ 16 + 8?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 4 + 10 − 10?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 11 ÷ 16 × 4?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 6 × 10 ÷ 14?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 14 + 2 ÷ 14?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 13 − 4 ÷ 16?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 4 + 19 × 16?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 2 + 6 − 3?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 9 ÷ 15 × 11?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 9 + 3 × 5?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 8 × 12 − 12?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 20 × 5 ÷ 5?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 16 × 11 ÷ 18?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 4 × 2 ÷ 3?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 4 × 17 ÷ 7?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 4 + 2 − 2?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 5 + 9 × 13?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 12 − 11 × 17?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 6 × 6 ÷ 12?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 8 ÷ 7 × 14?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 19 ÷ 4 + 18?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 8 + 8 × 10?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 13 + 2 ÷ 12?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 15 − 20 ÷ 17?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 12 − 2 × 10?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 4 ÷ 6 − 2?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 14 ÷ 16 + 4?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 12 ÷ 5 × 7?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 3 − 12 × 7?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 8 − 2 × 2?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 14 − 7 × 12?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 3 − 4 + 3?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 13 + 4 − 2?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 18 − 18 ÷ 6?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 12 + 16 × 8?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 12 ÷ 10 × 8?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 20 ÷ 12 + 3?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 2 + 4 ÷ 4?

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