Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 84 · 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 7 ÷ 4 − 9 + 3?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 7 ÷ 15 × 18?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 11 + 18 ÷ 3?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 3 − 14 + 2?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 11 ÷ 15 − 5?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 13 − 15 × 14?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 20 ÷ 14 − 2?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 18 × 4 + 3?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 4 × 3 ÷ 5?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 2 ÷ 17 + 2?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 18 ÷ 12 × 3?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 12 × 6 − 13?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 4 × 2 ÷ 12?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 11 ÷ 14 − 6?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 12 ÷ 11 + 6?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 10 − 20 ÷ 9?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 17 ÷ 7 − 19?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 6 × 17 + 3?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 16 × 4 ÷ 20?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 6 × 2 ÷ 15?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 14 ÷ 13 × 14?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 10 − 2 ÷ 4?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 18 + 7 − 7?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 18 ÷ 4 − 15?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 10 × 5 ÷ 6?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 18 ÷ 13 − 9?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 11 + 15 − 18?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 8 × 4 − 4?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 12 ÷ 16 − 12?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 4 × 4 + 6?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 4 − 3 × 3?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 2 ÷ 13 − 13?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 9 − 2 + 13?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 5 × 8 + 8?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 11 ÷ 14 + 6?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 5 × 12 ÷ 12?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 8 + 4 × 15?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 15 × 13 − 17?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 13 × 4 ÷ 19?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 5 × 10 ÷ 6?

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