Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 957 · 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 9 ÷ 17 + 4 − 14?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 16 + 5 × 17?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 13 ÷ 15 × 12?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 10 − 9 + 10?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 12 + 4 − 12?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 3 × 3 ÷ 11?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 15 − 5 ÷ 16?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 10 + 2 ÷ 17?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 12 − 12 × 6?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 16 ÷ 13 − 18?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 17 ÷ 3 × 13?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 18 − 15 ÷ 7?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 16 − 11 ÷ 11?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 3 ÷ 13 × 18?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 16 × 8 − 4?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 5 − 3 × 9?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 12 − 5 × 15?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 14 − 11 ÷ 5?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 17 × 10 ÷ 3?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 5 + 3 ÷ 2?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 13 + 6 × 7?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 11 − 17 + 17?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 13 + 11 × 16?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 8 − 3 × 4?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 17 − 2 + 8?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 18 + 2 ÷ 17?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 18 + 18 × 2?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 15 + 3 × 6?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 4 × 10 ÷ 10?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 11 − 15 ÷ 10?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 15 × 7 ÷ 19?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 20 × 2 ÷ 4?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 5 ÷ 8 × 6?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 9 ÷ 14 × 7?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 11 × 3 − 3?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 10 − 9 + 15?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 3 + 9 − 9?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 2 ÷ 13 − 8?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 13 × 8 − 3?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 2 ÷ 17 − 6?

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