Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 472 · 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 17 + 17 ÷ 3 − 7?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 19 ÷ 13 − 15?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 7 ÷ 4 − 18?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 10 − 9 × 10?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 17 × 7 + 7?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 8 ÷ 7 − 14?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 2 ÷ 7 − 7?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 12 ÷ 6 + 15?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 16 − 19 + 14?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 18 + 4 − 12?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 12 ÷ 6 × 13?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 12 × 4 − 9?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 8 × 3 ÷ 7?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 14 ÷ 6 × 3?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 5 × 2 ÷ 11?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 3 ÷ 5 + 6?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 2 − 9 ÷ 11?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 13 + 19 ÷ 13?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 18 × 11 ÷ 17?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 19 × 5 − 20?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 12 + 6 ÷ 7?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 6 + 6 ÷ 4?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 17 ÷ 18 − 7?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 5 ÷ 18 × 13?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 × 2 ÷ 17 − 2?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 20 ÷ 8 × 13?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 2 + 13 ÷ 7?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 17 − 9 × 4?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 6 − 8 ÷ 12?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 20 × 14 ÷ 18?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 3 − 6 + 2?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 3 + 9 × 8?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 9 ÷ 3 × 13?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 7 − 17 ÷ 9?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 7 ÷ 11 + 15?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 5 × 6 ÷ 9?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 3 × 15 ÷ 5?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 17 × 12 ÷ 5?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 5 × 5 ÷ 6?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 15 + 17 ÷ 7?

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