Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 71 · 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 + 9 × 4 ÷ 6?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 4 − 3 + 15?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 20 ÷ 14 − 7?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 15 ÷ 17 × 2?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 20 ÷ 15 + 14?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 6 − 20 × 6?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 15 ÷ 8 + 18?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 4 × 6 + 10?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 12 ÷ 4 × 19?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 ÷ 4 + 3?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 14 + 17 ÷ 5?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 11 ÷ 2 × 9?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 14 − 2 + 15?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 16 + 13 − 8?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 20 ÷ 14 + 7?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 8 − 15 + 20?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 6 + 8 ÷ 14?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 15 − 15 ÷ 6?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 11 − 2 + 8?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 13 × 10 + 5?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 7 + 4 ÷ 9?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 9 ÷ 7 + 19?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 16 × 7 ÷ 7?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 11 − 13 × 10?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 3 − 5 × 9?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 4 × 7 − 17?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 4 − 13 ÷ 5?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 18 × 11 ÷ 17?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 16 ÷ 18 × 20?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 19 × 9 − 4?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 9 × 7 + 7?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 19 − 9 + 3?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 12 − 18 ÷ 4?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 18 − 19 × 11?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 16 ÷ 9 − 5?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 19 ÷ 4 × 11?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 2 + 2 − 2?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 2 − 11 ÷ 15?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 14 ÷ 3 + 11?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 15 ÷ 10 + 3?

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