Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 331 · 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 8 × 6 ÷ 10 − 5?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 4 ÷ 8 + 6?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 7 ÷ 18 × 17?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 6 × 2 ÷ 20?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 20 + 4 ÷ 3?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 3 − 7 ÷ 9?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 16 + 12 ÷ 2?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 9 − 8 × 4?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 20 − 2 ÷ 3?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 5 ÷ 12 × 2?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 5 ÷ 8 + 20?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 17 ÷ 10 + 6?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 − 11 ÷ 2?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 6 + 8 − 3?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 10 − 3 × 13?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 12 ÷ 4 + 18?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 8 + 8 ÷ 8?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 8 − 12 × 6?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 10 × 10 + 5?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 5 × 15 ÷ 2?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 3 × 9 ÷ 5?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 17 − 12 × 15?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 6 + 8 ÷ 13?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 2 − 18 ÷ 8?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 6 − 8 ÷ 3?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 17 + 11 ÷ 18?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 4 ÷ 8 − 6?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 12 − 12 ÷ 14?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 20 × 4 ÷ 12?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 19 ÷ 16 − 4?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 7 − 3 ÷ 4?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 18 × 12 ÷ 4?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 2 − 7 + 5?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 20 + 6 ÷ 10?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 12 ÷ 10 + 15?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 5 × 9 − 3?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 6 + 15 ÷ 8?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 2 × 8 + 6?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 18 ÷ 4 × 7?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 8 + 5 ÷ 16?

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