Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 527 · 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 7 + 9 − 15 ÷ 4?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 17 + 14 ÷ 2?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 7 ÷ 12 × 6?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 18 + 3 ÷ 9?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 − 9 × 6?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 17 ÷ 15 + 9?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 8 × 9 ÷ 2?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 13 − 12 ÷ 8?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 10 − 4 + 7?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 5 × 14 − 3?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 2 ÷ 14 − 6?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 11 ÷ 4 × 17?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 2 × 19 ÷ 11?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 6 + 4 × 11?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 3 × 5 + 2?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 6 × 11 − 15?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 14 − 15 × 19?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 6 + 19 × 12?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 13 − 2 ÷ 12?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 9 ÷ 4 × 15?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 19 × 7 ÷ 12?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 7 − 11 + 6?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 10 + 3 × 5?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 5 − 5 ÷ 12?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 4 − 9 ÷ 3?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 4 + 17 × 4?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 9 × 10 − 5?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 11 − 13 + 6?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 12 − 13 ÷ 19?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 8 × 5 ÷ 2?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 9 + 6 × 13?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 10 + 12 − 19?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 4 ÷ 4 + 8?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 10 ÷ 16 + 9?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 10 ÷ 6 − 17?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 19 − 14 ÷ 5?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 9 ÷ 3 − 8?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 8 ÷ 9 + 2?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 6 + 2 × 16?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 16 × 10 ÷ 17?

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