Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 374 · 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 17 ÷ 6 + 5 − 2?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 12 − 4 × 18?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 2 − 4 ÷ 18?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 3 + 19 ÷ 13?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 7 − 3 ÷ 17?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 4 ÷ 16 × 17?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 8 − 2 ÷ 8?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 3 ÷ 18 + 9?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 18 × 15 − 3?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 4 × 2 ÷ 4?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 10 ÷ 2 × 5?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 12 − 2 ÷ 20?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 13 + 19 × 2?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 2 ÷ 12 × 2?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 7 ÷ 17 − 14?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 10 ÷ 3 + 3?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 20 − 4 ÷ 9?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 2 + 8 ÷ 3?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 10 + 5 × 14?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 4 − 2 × 19?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 16 + 20 × 16?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 9 − 9 × 20?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 15 + 15 × 2?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 6 + 2 ÷ 5?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 11 ÷ 11 + 8?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 14 ÷ 9 × 4?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 15 × 19 ÷ 14?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 11 ÷ 13 + 10?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 10 − 3 ÷ 9?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 12 ÷ 8 × 5?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 13 + 14 × 6?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 9 + 7 − 9?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 7 − 6 ÷ 11?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 16 − 9 + 7?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 13 ÷ 15 + 5?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 18 − 10 × 9?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 15 − 4 ÷ 18?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 4 − 14 ÷ 13?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 14 × 17 + 17?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 12 ÷ 17 × 8?

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