Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 47 · 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 + 8 ÷ 4 × 4?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 13 − 12 × 6?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 14 ÷ 15 × 18?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 2 × 9 + 7?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 16 + 7 ÷ 14?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 3 ÷ 19 × 11?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 20 + 2 ÷ 11?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 2 − 16 ÷ 6?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 3 − 3 + 5 ÷ 6?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 7 ÷ 4 + 17?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 19 − 4 ÷ 6?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 17 + 14 − 12?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 19 + 15 × 7?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 11 − 18 ÷ 19?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 8 ÷ 6 + 16?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 19 − 3 × 18?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 12 × 13 − 5?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 2 + 2 ÷ 4?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 4 ÷ 12 + 9?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 3 − 20 × 10?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 13 × 14 ÷ 4?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 2 × 4 ÷ 14?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 12 − 4 + 10?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 14 ÷ 20 × 20?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 14 × 3 + 6?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 9 + 11 ÷ 3?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 14 ÷ 8 + 16?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 3 ÷ 15 + 13?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 6 − 16 × 3?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 14 × 5 + 19?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 11 − 16 ÷ 4?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 3 + 3 − 11?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 5 × 18 + 5?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 16 × 16 ÷ 16?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 8 + 5 × 16?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 16 ÷ 11 − 17?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 20 × 2 ÷ 9?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 3 × 14 − 5?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 10 × 15 + 16?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 3 − 18 + 3?

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