Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 520 · 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 16 + 6 ÷ 19 − 4?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 9 × 20 − 8?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 12 ÷ 9 + 12?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 14 × 18 − 7?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 6 − 19 × 2?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 12 × 3 − 3?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 12 × 3 ÷ 5?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 11 ÷ 8 + 16?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 2 ÷ 12 × 14?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 10 + 6 ÷ 2?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 20 × 18 ÷ 5?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 20 × 8 − 17?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 7 + 12 × 4?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 16 + 16 × 3?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 7 × 10 − 12?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 7 × 16 ÷ 20?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 11 − 15 ÷ 16?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 6 × 4 ÷ 6?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 3 − 12 ÷ 6?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 14 × 7 − 2?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 17 × 7 ÷ 19?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 10 ÷ 14 − 3?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 12 × 6 ÷ 4?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 5 × 2 + 19?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 16 − 17 ÷ 18?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 17 ÷ 16 + 13?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 3 ÷ 11 − 8?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 5 ÷ 4 − 2?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 4 ÷ 17 × 2?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 12 + 4 × 20?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 3 + 11 ÷ 15?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 5 ÷ 9 × 10?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 9 − 11 ÷ 15?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 13 − 4 + 4?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 2 + 15 ÷ 17?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 10 − 2 × 2?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 12 × 5 ÷ 16?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 13 ÷ 5 + 5?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 20 ÷ 4 − 4?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 20 × 2 − 19?

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