Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 186 · 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 6 ÷ 15 + 12 − 9?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 2 + 18 ÷ 15?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 4 + 12 × 5?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 4 ÷ 18 × 6?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 14 × 10 − 10?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 16 × 17 − 17?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 8 − 11 × 20?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 5 + 8 ÷ 7?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 20 ÷ 6 + 12?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 2 − 2 ÷ 6 + 10?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 8 − 2 + 2?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 19 ÷ 18 + 11?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 4 + 13 ÷ 11?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 4 × 4 − 13?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 4 − 4 + 16?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 10 × 19 − 19?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 18 + 20 × 12?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 3 ÷ 20 + 17?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 14 + 12 ÷ 7?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 7 − 7 × 3?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 19 ÷ 17 + 14?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 6 ÷ 3 + 11?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 9 × 4 − 2?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 11 ÷ 2 − 6?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 5 × 5 ÷ 4?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 20 ÷ 4 − 14?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 17 − 5 + 7?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 14 × 9 − 2?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 20 ÷ 4 + 3?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 20 × 20 + 5?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 4 − 12 ÷ 12?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 13 − 17 × 20?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 7 ÷ 6 × 11?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 20 + 15 × 2?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 17 ÷ 11 + 2?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 19 × 4 − 4?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 4 × 9 ÷ 6?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 2 × 10 + 5?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 8 × 2 ÷ 9?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 4 − 4 × 12?

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