Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 544 · 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 18 − 3 ÷ 5 × 9?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 6 + 15 × 16?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 18 ÷ 4 × 8?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 11 ÷ 9 + 16?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 14 − 20 × 2?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 11 × 20 + 19?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 9 × 18 + 10?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 8 + 14 − 14?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 ÷ 9 − 9?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 20 − 3 × 15?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 6 ÷ 3 × 2?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 5 + 12 ÷ 16?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 4 − 16 × 7?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 19 ÷ 15 + 5?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 13 ÷ 11 + 13?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 15 + 7 × 14?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 6 × 16 ÷ 5?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 6 − 12 × 14?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 9 ÷ 3 + 7?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 19 + 4 ÷ 14?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 9 + 5 ÷ 2?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 20 − 12 × 3?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 3 + 9 ÷ 20?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 7 + 19 ÷ 15?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 2 + 2 × 13?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 8 − 19 + 2?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 15 × 17 ÷ 19?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 3 − 11 ÷ 8?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 11 ÷ 9 × 6?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 20 ÷ 7 + 6?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 5 × 5 − 13?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 14 ÷ 18 + 17?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 + 2 ÷ 3?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 19 × 10 − 16?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 3 × 10 + 13?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 3 ÷ 5 × 3?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 6 − 6 ÷ 12?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 13 − 12 + 7?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 13 ÷ 2 − 14?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 3 − 2 ÷ 6?

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