Symbol Substitution Worksheet

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

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