Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 368 · 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 − 7 + 7 × 5?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 14 − 3 + 2?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 10 ÷ 4 × 14?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 20 + 2 ÷ 2?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 2 × 2 − 15?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 7 ÷ 5 − 5?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 13 + 5 × 19?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 4 − 6 ÷ 10?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 2 − 14 + 4?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 9 + 12 × 3?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 18 × 4 ÷ 14?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 2 − 2 + 4?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 14 + 16 ÷ 13?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 11 × 19 − 15?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 7 ÷ 3 + 8?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 3 ÷ 4 × 20?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 5 × 11 ÷ 18?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 2 − 4 + 6?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 9 + 4 ÷ 12?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 − 10 × 17?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 18 × 2 + 6?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 6 ÷ 18 + 18?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 10 ÷ 11 × 16?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 4 − 12 ÷ 4?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 13 + 8 ÷ 2?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 3 ÷ 3 − 2?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 19 × 5 ÷ 9?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 6 ÷ 18 × 18?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 13 × 13 − 14?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 5 × 2 ÷ 7?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 3 − 16 ÷ 6?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 15 + 4 ÷ 4?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 16 − 13 ÷ 13?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 16 × 6 ÷ 17?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 11 ÷ 18 − 8?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 17 − 20 ÷ 7?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 15 − 9 × 17?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 16 ÷ 10 − 5?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 3 ÷ 15 × 9?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 15 − 7 + 6?

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