Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 98 · 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 × 16 ÷ 18 − 3?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 13 − 13 ÷ 11?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 13 + 20 − 6?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 2 − 12 × 19?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 10 ÷ 3 × 7?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 14 + 17 × 5?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 8 × 15 ÷ 17?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 18 × 3 ÷ 8?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 3 ÷ 2 − 4?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 18 ÷ 6 × 18?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 4 − 5 ÷ 4?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 17 × 10 ÷ 7?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 14 + 17 − 16?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 3 − 3 + 5?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 9 − 13 ÷ 8?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 8 × 19 + 16?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 16 ÷ 18 − 6?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 18 ÷ 19 × 5?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 2 + 2 × 3 ÷ 10?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 18 ÷ 18 × 16?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 7 × 6 + 16?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 20 ÷ 9 × 5?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 3 + 10 × 6?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 6 × 6 ÷ 5?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 4 + 12 ÷ 16?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 8 + 20 × 4?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 14 − 16 + 8?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 7 − 8 + 19?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 20 ÷ 4 × 5?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 3 − 6 + 12?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 14 ÷ 18 − 11?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 3 ÷ 19 + 8?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 4 + 9 ÷ 5?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 20 ÷ 10 × 7?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 14 ÷ 16 − 9?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 11 ÷ 4 + 9?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 7 + 13 × 6?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 13 × 10 ÷ 17?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 4 ÷ 2 − 3?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 6 + 15 × 10?

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