Symbol Substitution Worksheet

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

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