Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 759 · 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 ÷ 15 − 15?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 5 ÷ 17 × 15?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 8 − 10 × 10?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 17 × 18 + 3?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 8 − 18 ÷ 10?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 4 + 4 ÷ 16?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 9 + 4 × 5?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 14 × 12 ÷ 15?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 12 × 18 ÷ 20?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 5 − 3 × 15?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 2 × 5 − 18?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 19 × 18 ÷ 5?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 18 − 9 × 6?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 17 − 16 × 6?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 10 − 7 × 10?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 18 + 9 × 3?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 11 − 11 × 19?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 3 + 19 × 3?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 2 − 4 + 11?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 12 + 3 × 20?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 12 − 12 × 9?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 18 ÷ 19 + 16?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 3 + 6 × 11?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 4 ÷ 2 × 18?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 3 × 9 − 19?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 15 ÷ 16 × 8?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 20 × 20 ÷ 10?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 15 × 15 + 14?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 6 ÷ 15 + 3?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 4 + 16 − 16?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 20 ÷ 16 × 3?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 7 + 13 ÷ 3?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 16 − 3 + 4?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 13 × 5 + 2?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 12 ÷ 4 + 15?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 20 + 3 ÷ 17?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 4 − 2 ÷ 16?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 16 − 3 × 13?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 2 − 10 ÷ 10?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 18 + 6 − 12?

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