Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 611 · 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 19 ÷ 5 × 14 − 3?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 10 ÷ 20 × 20?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 8 ÷ 20 + 12?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 11 − 20 ÷ 10?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 20 × 16 ÷ 6?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 5 ÷ 6 − 5?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 19 + 13 ÷ 7?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 6 + 8 ÷ 13?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 10 ÷ 6 − 5?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 5 ÷ 7 × 12?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 6 ÷ 4 × 4?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 6 × 3 ÷ 5?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 + 10 ÷ 16?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 19 ÷ 17 + 7?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 5 − 7 × 17?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 14 + 19 × 8?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 3 − 12 × 12?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 9 × 13 + 13?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 18 − 6 ÷ 10?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 13 + 2 × 13?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 20 ÷ 7 × 7?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 13 ÷ 3 + 5?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 6 ÷ 7 × 14?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 6 + 11 − 11?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 8 ÷ 19 + 11?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 5 × 7 ÷ 3?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 4 − 13 × 2?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 3 + 4 × 4?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 4 − 8 ÷ 16?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 9 ÷ 4 × 10?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 10 + 5 ÷ 12?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 4 × 6 ÷ 13?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 15 × 10 + 5?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 20 − 5 ÷ 16?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 20 + 15 × 2?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 11 − 7 + 15?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 5 × 18 ÷ 12?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 16 − 2 + 18?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 18 + 9 × 8?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 9 × 8 − 16?

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