Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 803 · 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 8 − 15 × 3 ÷ 6?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 4 + 7 − 4?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 2 × 2 − 15?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 18 × 6 ÷ 3?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 8 × 11 + 3?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 15 + 9 × 7?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 18 ÷ 15 − 3?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 7 × 14 + 10?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 14 + 2 − 13?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 2 ÷ 14 − 11?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 20 + 12 ÷ 20?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 17 × 8 ÷ 14?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 12 + 6 − 10?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 11 − 10 ÷ 20?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 × 4 + 5 − 19?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 11 ÷ 11 × 10?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 20 ÷ 12 − 7?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 14 − 10 × 6?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 15 ÷ 18 + 9?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 14 − 4 + 14?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 10 + 13 × 18?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 16 − 15 ÷ 6?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 2 + 2 × 20 − 11?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 20 ÷ 4 × 14?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 12 + 6 − 3?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 6 ÷ 5 + 4?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 9 × 5 ÷ 16?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 15 × 5 ÷ 3?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 3 + 18 ÷ 2?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 16 − 4 ÷ 16?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 13 ÷ 12 + 9?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 19 ÷ 10 − 12?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 9 × 12 + 16?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 6 ÷ 5 − 5?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 8 + 17 ÷ 7?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 11 + 8 − 7?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 8 × 11 ÷ 14?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 13 ÷ 8 − 13?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 2 − 7 ÷ 8?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 4 × 5 ÷ 3?

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