Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 687 · 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 7 ÷ 9 × 7 − 20?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 6 + 4 × 13?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 10 ÷ 11 + 11?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 8 × 11 − 14?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 10 ÷ 9 + 4?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 8 × 18 − 3?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 18 − 15 × 14?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 7 ÷ 18 − 18?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 18 × 3 ÷ 6?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 2 × 10 ÷ 15?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 8 − 3 × 15?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 20 × 10 − 4?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 3 × 19 + 13?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 8 ÷ 3 − 20?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 6 ÷ 18 × 8?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 8 ÷ 17 × 12?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 12 + 6 − 20?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 12 + 20 − 2?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 19 + 8 × 12?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 2 ÷ 19 − 20?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 20 ÷ 11 × 14?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 17 ÷ 11 × 11?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 3 ÷ 8 − 5?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 12 ÷ 5 × 4?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 9 × 4 − 15?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 3 − 3 ÷ 6 + 7?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 5 ÷ 10 − 5?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 15 ÷ 6 + 6?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 2 ÷ 13 × 16?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 6 × 15 ÷ 3?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 19 − 2 × 2?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 17 × 10 ÷ 18?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 11 × 14 − 15?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 2 + 12 ÷ 3?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 18 − 7 ÷ 6?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 9 + 20 − 16?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 3 × 11 − 15?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 10 − 10 ÷ 10?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 6 ÷ 15 × 6?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 13 − 13 ÷ 5?

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