Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 588 · 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 5 ÷ 9 − 20 × 2?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 20 ÷ 16 × 19?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 20 ÷ 7 − 18?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 3 + 18 × 2?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 13 ÷ 12 × 4?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 20 + 10 ÷ 4?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 15 × 9 + 3?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 9 ÷ 17 + 2?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 8 × 7 + 3?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 10 + 4 − 3?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 4 ÷ 14 − 3?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 6 × 9 − 8?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 6 + 16 ÷ 8?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 14 + 3 × 12?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 13 ÷ 13 + 18?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 19 − 11 ÷ 16?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 4 ÷ 7 − 13?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 19 ÷ 3 + 14?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 9 × 3 ÷ 6?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 5 ÷ 15 + 5?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 16 + 16 × 7?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 7 ÷ 6 + 14?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 4 + 9 ÷ 14?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 12 + 4 − 8?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 3 + 4 ÷ 18?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 10 + 2 ÷ 8?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 7 ÷ 4 × 20?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 7 − 9 ÷ 16?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 12 × 10 − 9?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 11 × 12 + 2?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 8 × 6 − 14?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 4 + 11 ÷ 6?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 15 − 16 ÷ 10?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 7 ÷ 20 × 3?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 17 + 3 ÷ 7?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 17 ÷ 7 × 18?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 5 + 12 − 6?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 3 + 3 × 8?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 4 + 7 − 14?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 9 − 17 ÷ 4?

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