Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 882 · 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 + 11 × 15 ÷ 16?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 7 × 19 − 15?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 3 × 20 ÷ 8?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 2 + 11 ÷ 18?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 16 + 14 ÷ 10?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 12 × 4 + 6?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 14 ÷ 6 − 3?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 19 ÷ 5 + 5?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 20 ÷ 7 − 5?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 8 − 2 ÷ 19?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 4 − 5 ÷ 17?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 17 − 2 × 11?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 9 + 19 − 19?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 20 ÷ 6 + 5?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 18 ÷ 7 − 4?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 18 × 4 ÷ 2?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 4 ÷ 14 + 12?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 9 × 10 + 7?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 12 + 20 × 8?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 7 ÷ 14 − 10?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 4 ÷ 6 − 2?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 4 ÷ 9 × 20?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 15 + 3 × 16?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 5 − 19 ÷ 6?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 20 − 3 + 14?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 15 × 14 ÷ 8?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 14 × 12 ÷ 18?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 5 × 11 ÷ 16?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 2 ÷ 7 + 17?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 5 − 6 × 6?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 4 × 9 + 8?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 8 + 2 − 18?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 16 − 2 × 4?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 13 + 13 − 9?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 5 ÷ 18 − 7?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 17 − 7 ÷ 14?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 11 + 11 ÷ 13 × 8?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 15 × 3 + 2?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 14 ÷ 9 − 3?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 19 ÷ 4 + 10?

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