Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 263 · 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 13 ÷ 3 − 10 + 6?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 5 ÷ 17 × 9?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 20 − 10 × 20?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 7 + 6 − 6?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 3 − 11 × 9?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 20 × 3 ÷ 11?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 17 − 2 ÷ 17?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 − 10 × 18?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 5 ÷ 8 − 2?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 4 × 18 + 2?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 13 × 3 ÷ 3?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 4 × 14 ÷ 2?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 10 − 2 × 2?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 14 − 14 + 9?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 11 × 6 ÷ 12?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 13 ÷ 11 × 17?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 20 + 19 × 6?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 11 + 7 ÷ 10?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 4 ÷ 10 − 6?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 18 + 13 − 2?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 × 4 ÷ 14?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 9 ÷ 5 + 6?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 8 − 4 × 13?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 18 × 13 + 3?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 2 + 2 − 2?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 6 + 11 × 14?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 13 ÷ 9 × 12?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 15 × 18 − 2?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 19 + 20 × 12?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 2 + 6 − 3?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 2 ÷ 15 + 6?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 19 − 10 + 13?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 5 − 5 × 3?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 15 ÷ 17 + 19?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 5 ÷ 19 × 5?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 15 + 12 − 8?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 6 × 12 + 3?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 14 × 17 − 17?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 19 ÷ 15 + 15?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 19 ÷ 4 + 7?

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