Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 55 · 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 3 − 3 ÷ 3 + 3?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 7 + 4 − 14?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 4 + 14 × 7?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 15 − 4 ÷ 6?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 4 × 14 − 17?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 11 × 11 ÷ 14?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 6 ÷ 4 − 12?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 5 ÷ 3 + 4?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 12 + 5 × 11?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 6 ÷ 8 + 6?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 14 ÷ 16 − 16?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 2 − 6 ÷ 10?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 8 − 6 + 16?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 12 ÷ 14 − 4?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 6 ÷ 4 − 3?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 6 + 6 × 2?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 5 ÷ 8 − 12?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 11 × 5 ÷ 18?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 15 × 16 + 2?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 10 ÷ 20 − 7?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 6 ÷ 12 × 12?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 14 ÷ 13 × 20?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 7 × 2 ÷ 5?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 18 ÷ 19 × 4?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 4 ÷ 9 + 13?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 9 ÷ 2 − 2?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 10 + 2 × 5?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 7 ÷ 19 − 18?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 7 + 15 × 2?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 3 ÷ 10 − 19?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 14 × 12 − 10?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 18 ÷ 3 × 18?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 16 ÷ 13 + 3?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 − 14 ÷ 5?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 13 + 18 × 3?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 2 + 7 × 11?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 8 × 3 ÷ 3?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 18 + 2 − 9?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 20 − 2 ÷ 18?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 9 ÷ 10 − 13?

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