Symbol Substitution Worksheet

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

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