Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 69 · 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 4 × 6 − 12 + 4?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 11 − 16 ÷ 10?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 − 10 ÷ 19?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 8 ÷ 16 − 14?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 13 × 8 + 4?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 20 + 10 ÷ 3?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 17 − 11 + 19?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 13 + 2 × 7?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 15 ÷ 13 × 14?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 12 ÷ 17 − 6?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 8 ÷ 7 × 4?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 8 × 13 ÷ 7?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 8 ÷ 12 + 6?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 2 × 14 ÷ 6?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 8 ÷ 17 + 5?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 20 × 5 ÷ 13?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 12 + 5 ÷ 5?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 7 + 7 − 11?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 5 − 13 × 4?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 5 ÷ 13 − 15?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 9 − 3 ÷ 5?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 3 ÷ 2 × 2?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 11 ÷ 12 − 2?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 7 ÷ 6 + 2?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 10 × 17 ÷ 11?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 6 ÷ 14 × 17?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 14 − 4 + 14?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 15 − 16 ÷ 20?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 − 8 × 4?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 8 ÷ 19 − 11?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 17 × 16 ÷ 20?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 5 − 5 + 8?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 15 ÷ 12 × 11?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 14 × 18 ÷ 3?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 13 + 12 × 11?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 7 ÷ 7 × 10?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 2 − 7 × 13?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 6 × 3 + 9?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 15 ÷ 10 × 13?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 12 + 2 ÷ 14?

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