Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 54 · 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 3 + 2 ÷ 6 × 2?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 7 + 7 ÷ 3 − 2?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 12 × 10 ÷ 2?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 16 ÷ 16 × 2?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 16 − 13 + 5?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 17 + 2 − 6?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 14 + 4 × 20?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 10 ÷ 12 − 4?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 10 − 15 ÷ 2?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 2 × 4 − 6?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 3 × 2 ÷ 10?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 3 + 12 − 9?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 8 + 13 − 6?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 16 ÷ 5 − 5?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 9 − 11 ÷ 9?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 10 − 2 + 2?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 18 × 17 ÷ 13?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 14 + 7 − 2?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 8 × 20 ÷ 19?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 20 × 14 + 17?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 × 7 ÷ 14 + 14?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 9 − 9 × 6?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 16 + 7 ÷ 11?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 19 × 4 − 18?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 2 + 20 ÷ 11?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 14 × 20 + 9?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 2 − 17 ÷ 4?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 18 − 3 + 13?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 8 + 17 ÷ 6?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 6 ÷ 7 − 13?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 18 + 5 − 2?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 7 + 5 ÷ 10?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 18 × 3 ÷ 12?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 11 + 5 ÷ 3?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 × 2 + 6 − 6?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 11 + 12 ÷ 15?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 10 ÷ 2 − 4?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 13 + 13 ÷ 3?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 8 ÷ 15 × 14?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 9 × 18 − 18?

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