Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 328 · 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 × 2 ÷ 20 + 4?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 5 − 18 ÷ 5?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 6 ÷ 6 + 4?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 7 × 3 ÷ 19?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 11 − 17 + 20?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 9 − 8 × 6?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 19 ÷ 7 − 2?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 20 − 20 × 4?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 3 + 15 ÷ 5?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 3 − 9 + 8?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 17 − 8 + 18?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 2 ÷ 12 × 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 19 × 7 ÷ 7?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 8 − 4 × 15?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 13 ÷ 16 × 8?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 18 × 2 ÷ 8?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 9 − 13 + 17?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 5 − 18 + 2?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 16 ÷ 10 × 12?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 20 ÷ 15 × 7?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 9 × 11 ÷ 2?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 7 + 20 × 7?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 12 − 17 × 14?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 10 ÷ 11 × 12?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 8 ÷ 18 + 16?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 14 − 2 ÷ 15?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 17 ÷ 17 × 7?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 7 − 13 × 2?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 6 − 12 × 19?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 15 ÷ 17 × 5?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 10 × 13 ÷ 16?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 20 − 4 + 20?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 13 − 19 ÷ 15?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 18 ÷ 8 × 11?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 9 ÷ 8 × 3?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 14 × 3 + 14?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 19 ÷ 11 + 8?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 20 + 2 − 7?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 6 − 16 × 2?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 5 − 15 + 7?

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