Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 772 · 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 8 ÷ 17 + 11 × 13?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 5 − 4 ÷ 20?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 19 + 19 ÷ 20?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 12 ÷ 6 − 4?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 10 ÷ 19 − 14?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 7 − 4 ÷ 20?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 5 + 6 × 15?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 6 ÷ 8 × 11?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 2 ÷ 2 × 7?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 12 ÷ 6 × 8?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 2 + 2 × 13?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 2 + 4 − 3?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 15 + 12 × 6?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 2 − 7 + 9?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 3 − 16 ÷ 12?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 12 ÷ 18 × 2?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 4 − 7 + 11?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 11 × 2 − 8?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 18 ÷ 15 × 6?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 19 ÷ 9 × 4?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 5 − 18 + 6?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 6 − 11 ÷ 8?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 4 × 15 + 3?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 19 ÷ 3 + 7?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 17 ÷ 4 × 7?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 13 − 17 + 2?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 20 ÷ 10 + 8?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 5 ÷ 5 + 13?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 16 ÷ 4 + 8?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 2 − 3 × 19?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 15 × 18 − 6?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 5 − 2 + 14?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 20 × 15 + 3?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 18 + 9 ÷ 16?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 18 − 17 ÷ 20?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 6 ÷ 2 × 6?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 15 − 15 + 12?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 11 ÷ 16 × 4?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 16 − 6 ÷ 13?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 6 − 15 + 12?

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