Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 321 · 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 ÷ 18 × 15 + 16?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 11 × 12 + 20?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 19 + 2 − 3?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 20 ÷ 10 × 4?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 12 × 2 + 9?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 5 − 20 × 12?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 9 + 14 × 8?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 15 × 2 ÷ 14?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 7 + 19 ÷ 19?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 4 × 8 ÷ 17?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 3 + 2 − 6?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 7 − 7 ÷ 13?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 8 − 7 + 8?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 20 − 3 + 11?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 3 + 8 − 20?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 12 × 4 ÷ 4?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 2 ÷ 6 × 6?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 15 + 10 × 10?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 19 − 5 ÷ 10?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 15 × 3 + 3?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 12 ÷ 5 − 4?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 16 × 8 − 4?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 ÷ 13 + 2?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 2 − 4 × 14?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 3 × 11 ÷ 9?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 12 ÷ 10 × 4?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 12 × 20 ÷ 16?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 14 + 10 − 8?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 9 ÷ 2 − 6?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 10 − 2 × 2?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 9 + 3 ÷ 15 × 14?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 17 ÷ 8 × 12?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 7 + 2 − 2?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 3 × 16 ÷ 9?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 15 + 15 − 20?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 5 × 5 − 11?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 16 + 4 − 11?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 4 ÷ 3 × 3?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 19 − 9 ÷ 15?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 6 ÷ 2 + 12?

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