Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 595 · 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 + 16 − 7 ÷ 17?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 12 − 3 × 13?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 14 − 11 × 18?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 14 ÷ 11 − 2?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 7 ÷ 12 × 15?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 12 − 6 ÷ 6?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 11 × 10 ÷ 8?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 11 + 3 − 18?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 8 × 4 − 10?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 20 − 8 ÷ 6?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 2 × 14 ÷ 14?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 16 + 4 ÷ 6?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 6 ÷ 2 − 13?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 16 ÷ 5 + 5?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 13 + 13 ÷ 16?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 8 ÷ 12 − 17?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 9 × 11 − 3?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 15 ÷ 11 + 19?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 10 + 5 × 7?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 7 − 12 ÷ 20?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 11 + 11 − 11 ÷ 10?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 14 × 10 ÷ 12?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 15 × 2 ÷ 12?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 6 × 12 + 7?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 5 ÷ 10 − 6?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 18 ÷ 17 − 16?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 2 − 18 + 9?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 14 + 7 × 2?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 3 + 13 ÷ 4?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 10 + 3 × 3?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 3 ÷ 15 + 5?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 12 × 9 − 5?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 3 × 9 + 3?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 8 ÷ 5 × 4?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 2 ÷ 12 − 4?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 7 + 12 × 18?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 13 ÷ 9 − 9?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 18 × 6 + 20?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 15 + 5 − 16?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 4 + 16 ÷ 7?

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