Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 587 · 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 18 × 6 + 4 ÷ 10?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 14 ÷ 9 × 14?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 15 − 4 + 11?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 15 + 11 ÷ 9?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 3 × 3 ÷ 9?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 17 − 3 ÷ 17?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 × 5 + 19 ÷ 12?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 13 ÷ 12 × 12?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 11 × 4 − 18?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 8 × 8 ÷ 13?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 20 ÷ 14 − 3?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 15 + 3 − 9?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 16 + 16 ÷ 4?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 11 ÷ 8 × 9?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 15 ÷ 14 × 7?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 20 × 7 ÷ 4?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 11 ÷ 15 × 11?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 11 − 8 + 4?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 3 + 8 − 2?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 10 × 6 + 13?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 3 − 3 ÷ 3?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 15 + 11 × 9?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 2 + 6 × 7?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 2 × 9 ÷ 8?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 19 × 6 − 3?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 7 × 16 ÷ 6?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 2 × 20 − 20?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 8 − 3 ÷ 6?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 14 × 16 + 16?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 17 × 15 ÷ 20?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 20 ÷ 11 + 2?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 2 × 3 ÷ 10?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 4 × 7 ÷ 3?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 14 × 3 − 3?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 14 − 14 × 15?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 + 4 ÷ 18?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 18 − 9 ÷ 14?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 7 − 9 + 14?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 10 − 19 + 9?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 7 + 7 × 8?

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