Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 120 · 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 10 + 5 ÷ 19 × 10?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 14 + 16 ÷ 5?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 19 × 12 + 6?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 2 ÷ 8 × 2?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 15 × 12 − 13?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 20 − 20 + 10?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 12 ÷ 5 + 8?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 12 − 6 ÷ 18?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 10 + 5 × 2?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 6 × 2 ÷ 14?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 12 × 19 ÷ 18?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 10 ÷ 4 × 14?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 5 + 4 − 2?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 6 ÷ 12 × 13?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 18 × 17 ÷ 19?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 4 ÷ 5 + 15?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 9 − 3 × 8?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 12 × 8 + 7?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 8 + 5 ÷ 2?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 8 + 6 × 8?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 12 ÷ 3 × 9?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 17 × 7 ÷ 20?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 − 13 ÷ 3?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 5 + 16 ÷ 19?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 2 − 3 × 5?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 15 − 3 × 2?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 4 ÷ 13 − 6?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 19 + 3 ÷ 15?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 3 × 18 − 11?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 15 × 9 ÷ 9?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 11 + 18 × 4?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 16 ÷ 13 × 14?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 6 ÷ 16 + 16?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 2 ÷ 8 − 2?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 13 × 19 ÷ 4?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 12 ÷ 6 + 6?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 5 − 15 ÷ 12?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 10 − 2 ÷ 9?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 18 × 6 ÷ 13?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 18 − 18 ÷ 2?

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