Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 127 · 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 + 10 × 13 ÷ 16?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 2 ÷ 10 − 4?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 15 − 14 × 9?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 4 + 8 × 4?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 2 ÷ 6 × 20?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 5 ÷ 8 − 4?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 17 ÷ 5 − 10?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 20 ÷ 20 + 4?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 5 ÷ 8 × 20?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 12 ÷ 10 × 2?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 10 ÷ 11 + 5?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 16 ÷ 13 × 18?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 20 × 6 ÷ 16?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 19 − 15 ÷ 3?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 20 − 2 ÷ 3?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 2 × 13 + 6?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 4 + 8 × 10?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 12 × 2 ÷ 15?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 2 ÷ 5 × 9?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 12 ÷ 7 × 19?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 20 ÷ 6 × 4?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 10 ÷ 12 × 2?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 9 ÷ 10 + 5?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 15 × 20 + 10?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 9 × 9 ÷ 2?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 7 × 14 ÷ 6?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 2 × 17 ÷ 2?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 4 ÷ 6 + 11?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 20 + 11 ÷ 11?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 13 ÷ 9 − 18?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 12 + 14 × 14?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 17 + 16 × 4?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 20 − 18 ÷ 20?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 2 − 4 + 7?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 12 ÷ 20 × 18?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 20 − 11 × 20?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 17 × 4 + 15?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 6 × 9 − 14?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 3 + 7 ÷ 10?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 9 + 7 × 15?

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