Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 509 · 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 14 × 7 ÷ 9 − 7?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 8 − 3 + 4?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 17 × 20 ÷ 14?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 19 + 2 ÷ 13?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 11 ÷ 16 + 15?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 17 + 18 ÷ 9?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 6 − 4 × 10?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 2 × 15 − 15?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 16 ÷ 6 × 16?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 20 + 13 ÷ 3?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 3 ÷ 3 × 18?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 17 − 4 + 4?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 3 + 3 × 6?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 7 − 19 + 9?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 3 + 15 − 7?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 7 ÷ 8 − 13?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 6 + 4 ÷ 11?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 19 ÷ 17 − 19?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 15 ÷ 11 + 20?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 2 − 12 × 12?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 12 + 16 − 6?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 13 ÷ 2 × 13?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 2 × 7 ÷ 9?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 4 ÷ 13 + 9?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 2 × 8 ÷ 3?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 13 ÷ 12 − 7?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 10 × 3 + 2?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 20 − 14 + 8?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 18 + 14 × 14?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 20 − 4 + 3?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 8 − 12 + 2?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 17 − 19 ÷ 13?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 19 + 2 ÷ 17?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 5 + 7 − 8?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 16 × 10 + 3?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 16 × 6 − 6?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 11 ÷ 17 − 3?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 8 + 4 × 14?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 4 × 13 ÷ 10?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 17 × 20 − 5?

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