Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 552 · 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 16 + 4 − 14 × 8?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 8 − 16 × 15?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 20 ÷ 17 × 17?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 12 + 13 − 8?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 3 ÷ 8 × 2?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 13 ÷ 7 × 13?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 3 − 14 ÷ 5?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 7 − 11 + 11?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 7 ÷ 2 + 16?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 9 × 19 − 8?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 5 + 7 − 7?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 19 + 19 × 4?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 3 ÷ 15 − 11?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 18 + 7 × 18?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 2 ÷ 12 × 20?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 12 ÷ 6 × 14?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 17 ÷ 4 + 6?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 15 ÷ 14 − 15?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 5 − 15 + 3?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 9 + 10 ÷ 4?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 19 − 7 ÷ 9?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 8 ÷ 5 − 5?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 11 × 3 − 20?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 3 − 2 ÷ 19?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 14 − 8 ÷ 4?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 15 × 11 ÷ 3?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 14 × 3 ÷ 4?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 5 × 18 ÷ 7?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 18 ÷ 6 × 2?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 16 + 2 ÷ 11?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 2 − 9 + 16?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 2 + 6 × 10?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 20 + 5 ÷ 18?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 7 − 18 + 6?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 6 × 8 + 7?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 6 + 16 − 2?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 20 ÷ 3 − 12?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 8 ÷ 20 + 13?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 13 − 11 ÷ 19?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 8 + 15 ÷ 4?

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