Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 145 · 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 4 × 12 − 4 + 18?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 19 × 17 − 4?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 8 − 9 ÷ 19?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 4 ÷ 5 − 2?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 9 − 6 + 11?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 8 − 9 ÷ 12?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 14 − 2 + 16?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 5 ÷ 2 × 2?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 8 + 6 ÷ 5?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 3 × 19 + 13?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 9 + 17 × 11?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 12 × 19 − 12?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 9 × 6 + 2?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 8 × 4 + 20?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 6 + 11 − 3?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 3 × 2 + 20?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 11 ÷ 4 × 16?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 5 + 2 − 20?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 4 × 14 − 17?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 2 ÷ 12 + 3?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 13 × 15 + 3?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 18 × 17 − 17?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 8 × 3 − 20?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 17 ÷ 14 + 18?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 14 + 8 − 2?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 20 × 13 − 11?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 15 × 13 + 19?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 14 × 3 ÷ 20?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 10 − 20 + 10?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 3 ÷ 17 × 8?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 16 ÷ 14 − 13?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 18 + 3 − 6?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 9 + 12 × 4?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 14 ÷ 6 − 9?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 9 ÷ 3 + 3?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 3 × 12 − 5?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 14 ÷ 10 × 12?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 6 − 2 ÷ 6?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 3 × 7 + 20?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 3 × 3 ÷ 2?

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