Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 366 · 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 + 4 ÷ 14 × 9?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 10 × 3 ÷ 3?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 19 ÷ 14 × 18?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 3 ÷ 9 + 18?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 13 − 5 ÷ 19?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 10 × 5 ÷ 6?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 4 ÷ 7 × 18?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 5 + 3 ÷ 5?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 18 ÷ 20 − 7?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 4 ÷ 15 + 6?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 10 × 8 ÷ 5?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 19 + 19 × 9?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 × 3 − 2 + 5?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 6 − 3 × 9?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 7 ÷ 6 + 3?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 8 ÷ 4 − 16?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 13 + 18 ÷ 7?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 ÷ 11 − 14?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 17 − 10 × 2?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 3 × 3 ÷ 15?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 19 ÷ 20 × 4?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 17 − 11 ÷ 12?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 2 − 8 + 6?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 6 + 4 × 10?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 18 + 19 × 3?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 8 ÷ 20 × 5?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 5 + 8 − 8?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 4 ÷ 5 + 2?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 3 − 11 × 11?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 17 − 2 ÷ 15?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 3 ÷ 19 + 4?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 2 + 7 × 19?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 20 + 4 ÷ 3?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 2 × 3 ÷ 20?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 10 ÷ 9 − 18?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 2 × 4 ÷ 15?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 20 × 4 ÷ 3?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 8 ÷ 20 × 15?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 2 − 12 × 13?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 17 ÷ 15 × 10?

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