Symbol Substitution Worksheet

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

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