Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 429 · 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 10 ÷ 11 × 11 − 12?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 9 ÷ 8 × 8?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 20 + 2 ÷ 17?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 6 + 6 × 5?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 2 − 10 + 12?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 13 ÷ 10 × 9?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 2 − 11 ÷ 2?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 15 + 15 ÷ 3?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 13 ÷ 2 + 2?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 9 ÷ 18 − 17?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 7 − 5 + 11?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 19 + 2 × 15?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 6 × 2 + 6?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 9 ÷ 15 + 20?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 5 − 3 ÷ 16?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 6 + 5 × 16?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 6 × 16 ÷ 8?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 20 × 9 + 16?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 8 − 3 + 4?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 9 ÷ 6 × 3?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 3 + 6 ÷ 16?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 11 + 5 − 12?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 9 − 17 ÷ 14?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 6 × 6 − 2?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 10 ÷ 6 − 3?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 18 + 18 × 12?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 2 + 12 ÷ 17?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 15 + 3 − 2?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 3 + 6 × 15?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 2 + 3 × 13?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 19 ÷ 7 × 11?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 16 + 2 − 14?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 12 × 13 ÷ 7?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 12 × 8 ÷ 8?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 11 × 4 + 11?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 4 × 6 + 3?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 14 ÷ 5 + 3?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 8 ÷ 4 + 11?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 2 + 2 − 19?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 15 − 14 + 2?

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