Symbol Substitution Worksheet

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

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