Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 352 · 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 17 + 3 × 19 ÷ 4?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 6 × 15 − 5?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 15 + 5 − 3?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 12 × 2 − 9?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 5 ÷ 17 − 17?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 17 × 2 + 2?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 18 − 5 ÷ 4?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 15 ÷ 10 × 12?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 2 ÷ 6 − 12?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 7 − 7 × 16 + 10?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 8 − 3 ÷ 8?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 16 − 9 + 4?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 16 + 15 × 12?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 12 ÷ 5 + 2?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 12 − 2 ÷ 15?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 6 ÷ 2 × 2?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 5 ÷ 5 + 7?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 7 ÷ 6 × 3?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 6 + 2 ÷ 18?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 19 × 8 ÷ 4?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 × 2 + 6 − 3?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 18 ÷ 11 × 18?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 8 × 12 ÷ 16?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 6 + 8 × 5?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 4 × 11 ÷ 19?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 9 ÷ 6 + 6?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 18 × 18 − 6?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 8 − 12 × 14?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 7 − 16 × 14?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 12 ÷ 8 − 12?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 15 ÷ 10 × 6?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 2 + 13 − 14?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 9 ÷ 7 + 4?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 19 − 19 + 13 × 8?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 4 − 20 + 5?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 13 − 11 + 15?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 17 − 5 ÷ 15?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 9 + 9 × 7?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 2 ÷ 14 − 2?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 6 ÷ 11 − 7?

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