Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 274 · 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 7 − 12 + 3 ÷ 18?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 10 ÷ 7 − 2?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 15 − 20 ÷ 10?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 14 + 10 × 19?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 8 × 2 ÷ 5?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 10 × 15 + 17?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 9 + 3 − 18?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 3 − 15 ÷ 16?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 12 ÷ 3 × 15?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 10 × 5 ÷ 7?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 15 − 10 ÷ 17?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 6 − 11 + 8?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 4 × 19 ÷ 8?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 6 + 4 − 4?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 12 + 15 × 17?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 4 + 10 × 5?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 4 + 19 ÷ 19?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 20 + 2 − 17?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 12 + 11 ÷ 11?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 11 ÷ 8 × 16?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 3 ÷ 10 − 10?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 11 − 15 + 19?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 15 − 19 + 18?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 7 ÷ 19 + 4?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 2 ÷ 5 − 13?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 3 ÷ 12 × 19?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 3 ÷ 14 × 4?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 10 × 12 + 12?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 4 × 15 + 3?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 11 ÷ 10 × 16?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 5 − 2 × 8?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 8 ÷ 15 − 11?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 2 − 11 ÷ 12?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 16 ÷ 7 + 7?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 20 + 3 × 10?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 5 − 5 + 19?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 15 − 8 ÷ 4?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 11 + 5 ÷ 17?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 10 ÷ 19 + 14?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 8 + 6 × 2?

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