Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 698 · 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 6 ÷ 17 + 4 − 14?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 3 − 3 + 10?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 15 + 7 ÷ 16?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 11 + 16 ÷ 2?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 3 + 18 ÷ 7?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 2 ÷ 18 + 3?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 3 × 9 ÷ 7?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 3 × 17 ÷ 14?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 18 ÷ 20 − 20?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 9 × 6 + 3?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 20 − 15 + 11?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 13 ÷ 18 + 4?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 6 × 4 ÷ 6?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 2 ÷ 16 − 12?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 10 − 8 × 4?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 11 ÷ 19 × 19?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 14 + 5 × 2?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 11 ÷ 18 × 15?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 12 ÷ 11 + 8?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 20 + 12 − 4?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 8 ÷ 15 × 4?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 17 × 11 + 11?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 2 ÷ 4 + 7?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 14 ÷ 4 × 5?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 11 ÷ 16 + 10?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 2 − 3 × 12?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 18 + 2 ÷ 10?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 10 − 18 × 17?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 5 + 10 × 11?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 2 × 19 − 4?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 5 + 20 ÷ 15?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 7 + 15 − 3?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 7 ÷ 5 − 20?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 6 ÷ 19 × 3?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 5 − 12 ÷ 14?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 10 ÷ 17 + 6?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 2 − 20 × 8?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 12 − 20 + 15?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 10 − 5 ÷ 8?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 9 ÷ 2 + 4?

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