Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 136 · 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 − 6 ÷ 4 + 6?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 18 + 17 ÷ 18?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 16 + 2 ÷ 12?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 19 + 19 ÷ 6?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 10 − 6 ÷ 19?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 ÷ 16 × 9?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 4 ÷ 5 × 5?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 20 × 8 ÷ 5?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 7 ÷ 8 × 11?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 20 × 2 − 7?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 6 + 3 − 9?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 16 × 11 ÷ 3?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 4 − 12 + 10?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 8 ÷ 12 + 6?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 20 × 7 ÷ 8?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 20 × 11 ÷ 9?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 15 ÷ 14 × 10?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 7 + 2 − 19?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 7 × 9 ÷ 2?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 7 ÷ 2 + 16?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 17 ÷ 12 × 3?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 4 × 3 ÷ 10?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 20 − 5 × 3?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 18 − 13 + 7?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 17 ÷ 17 + 12?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 − 10 ÷ 20?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 7 − 2 ÷ 11?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 18 ÷ 17 + 17?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 13 ÷ 3 − 13?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 14 − 11 ÷ 18?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 3 + 5 − 5?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 10 + 18 ÷ 14?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 2 × 13 + 18?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 5 + 20 − 10?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 12 + 3 − 3?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 3 × 15 ÷ 17?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 12 ÷ 10 × 8?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 6 × 20 − 11?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 9 − 14 ÷ 14?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 4 ÷ 6 × 2?

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