Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 115 · 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 × 7 + 7 ÷ 8?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 2 ÷ 7 + 10?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 14 − 15 × 6?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 3 × 3 ÷ 16?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 10 × 12 − 4?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 18 − 2 × 19?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 7 − 14 + 19?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 10 × 8 + 6?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 10 − 3 × 3?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 7 + 18 × 2?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 8 ÷ 8 − 17?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 2 − 14 × 3?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 4 ÷ 15 + 14?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 17 × 15 + 5?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 19 × 20 − 16?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 19 × 11 + 7?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 14 + 3 ÷ 15?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 16 × 8 + 15?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 7 ÷ 5 + 4?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 12 + 13 − 13?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 4 ÷ 16 − 14?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 6 + 13 ÷ 13?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 16 × 19 ÷ 4?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 6 ÷ 5 + 17?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 10 − 2 ÷ 2?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 4 − 12 + 7?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 15 − 4 ÷ 5?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 16 + 2 × 13?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 6 × 2 ÷ 19?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 20 × 10 + 3?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 13 + 8 × 4?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 4 − 4 ÷ 6?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 11 + 5 − 5?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 12 + 2 ÷ 6?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 7 ÷ 15 + 7?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 13 ÷ 14 − 16?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 13 × 16 + 8?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 3 × 14 ÷ 5?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 14 − 11 × 5?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 5 + 14 ÷ 14?

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