Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 535 · 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 + 6 ÷ 11 − 12?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 19 × 14 + 19?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 12 − 12 × 11?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 9 + 9 − 14 ÷ 4?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 14 ÷ 13 × 3?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 10 × 14 ÷ 5?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 10 + 11 − 2?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 2 × 8 ÷ 17?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 16 − 6 ÷ 12?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 19 × 13 ÷ 12?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 20 × 7 + 10?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 7 ÷ 15 × 17?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 14 ÷ 6 + 3?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 3 − 19 + 16?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 20 − 19 + 2?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 3 − 11 + 6?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 19 × 9 − 16?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 11 + 3 × 19?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 3 × 14 + 20?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 7 + 14 ÷ 11?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 11 × 19 ÷ 3?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 2 − 5 × 20?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 7 − 9 + 9?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 6 ÷ 13 × 8?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 16 ÷ 2 − 6?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 9 + 4 × 10?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 14 × 19 ÷ 14?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 16 ÷ 8 × 15?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 20 − 18 + 8?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 18 × 6 ÷ 14?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 8 ÷ 4 + 15?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 14 ÷ 18 × 19?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 16 + 4 ÷ 4?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 17 + 5 − 9?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 17 ÷ 4 + 4?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 12 − 20 × 11?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 9 ÷ 2 − 20?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 10 × 16 + 14?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 10 ÷ 11 × 5?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 17 + 10 × 10?

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