Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 190 · 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 ÷ 2 − 17 × 7?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 2 ÷ 19 − 19?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 2 ÷ 14 × 13?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 16 + 16 − 12?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 11 − 14 ÷ 12?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 15 ÷ 11 − 6?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 2 − 11 ÷ 16?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 × 14 ÷ 2?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 13 + 6 × 19?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 13 + 7 ÷ 5?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 12 − 14 + 9?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 11 ÷ 5 × 14?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 18 ÷ 5 − 16?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 18 × 7 − 7?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 6 + 14 ÷ 2?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 7 ÷ 3 × 8?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 20 − 5 × 15?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 9 × 20 + 3?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 16 ÷ 6 + 20?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 5 × 13 ÷ 7?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 13 − 13 ÷ 13 × 17?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 8 ÷ 5 − 4?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 4 − 7 + 10?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 8 − 17 ÷ 14?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 8 × 14 ÷ 6?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 3 ÷ 6 × 2?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 3 + 6 × 6?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 6 + 3 ÷ 2?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 6 + 2 × 16?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 15 × 5 + 18?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 7 × 15 + 8?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 3 ÷ 14 − 11?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 10 ÷ 14 × 7?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 8 × 3 + 10?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 13 + 7 − 10?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 20 + 4 × 4?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 2 + 2 − 16 ÷ 7?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 13 + 3 × 11?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 15 ÷ 18 − 18?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 9 − 12 ÷ 9?

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