Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 53 · 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 20 × 17 ÷ 16 + 13?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 18 − 18 + 17?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 4 × 9 − 5?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 5 × 4 − 15?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 17 ÷ 17 − 14?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 20 − 10 × 2?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 ÷ 2 × 8?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 4 × 10 ÷ 3?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 7 ÷ 17 × 16?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 6 ÷ 12 × 6?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 5 + 5 ÷ 8?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 7 − 9 + 17?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 13 ÷ 16 − 14?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 15 + 5 × 4?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 12 + 10 − 5?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 9 + 2 × 6?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 × 7 ÷ 5?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 20 ÷ 14 × 14?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 5 − 5 × 15?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 5 − 4 ÷ 12?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 5 − 13 ÷ 10?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 9 + 4 ÷ 6?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 4 − 11 + 11?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 16 ÷ 20 × 2?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 10 − 5 ÷ 6?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 9 ÷ 13 + 17?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 13 ÷ 5 × 19?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 16 × 14 + 5?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 12 × 19 ÷ 10?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 3 − 15 × 15?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 4 ÷ 7 + 7?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 12 − 20 ÷ 11?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 18 + 7 ÷ 14?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 7 × 19 ÷ 16?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 2 + 2 − 15 ÷ 3?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 20 ÷ 2 + 2?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 6 ÷ 14 × 18?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 16 − 6 + 7?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 16 + 6 × 12?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 16 + 12 − 2?

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