Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 134 · 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 17 × 9 + 9 − 4?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 6 − 3 + 4?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 14 × 3 ÷ 19?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 14 + 18 ÷ 13?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 7 ÷ 3 − 8?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 11 × 11 + 11?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 11 − 5 ÷ 18?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 20 − 2 ÷ 8?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 × 16 − 19?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 12 − 7 ÷ 4?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 9 × 7 − 4?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 11 ÷ 13 + 16?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 16 × 18 ÷ 11?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 10 × 9 − 5?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 6 ÷ 5 × 15?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 15 + 17 ÷ 16?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 10 × 6 ÷ 7?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 17 ÷ 2 + 19?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 17 × 10 + 5?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 15 + 15 − 14?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 2 × 15 − 15?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 18 × 17 + 10?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 2 − 11 ÷ 7?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 4 ÷ 19 + 10?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 5 ÷ 5 + 16?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 4 + 4 − 4?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 9 ÷ 20 × 19?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 5 − 13 ÷ 4?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 3 ÷ 5 × 2?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 8 + 18 × 17?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 4 ÷ 3 − 19?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 15 × 2 ÷ 15?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 20 − 2 ÷ 19?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 17 × 2 ÷ 4?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 20 − 4 × 10?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 12 × 4 − 15?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 20 ÷ 9 × 14?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 14 ÷ 12 + 5?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 11 × 11 ÷ 14?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 4 ÷ 16 + 18?

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