Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 51 · 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 4 + 16 − 16 ÷ 14?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 2 + 2 − 14 ÷ 16?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 20 + 5 − 7?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 7 ÷ 11 + 4?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 2 − 12 ÷ 20?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 11 ÷ 20 − 17?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 9 × 20 − 11?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 6 ÷ 20 + 20?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 3 − 7 ÷ 15?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 16 − 2 × 12?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 15 − 6 × 18?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 5 + 12 ÷ 2?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 17 − 17 ÷ 2?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 20 − 10 × 11?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 14 + 18 ÷ 10?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 6 ÷ 14 − 14?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 6 − 5 ÷ 4?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 9 ÷ 9 − 2?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 + 18 ÷ 14?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 18 − 3 × 9?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 18 + 9 × 4?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 15 − 8 ÷ 8?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 14 + 10 × 2?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 20 + 14 × 2?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 6 + 16 − 2?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 17 + 15 ÷ 4?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 12 ÷ 12 − 14?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 2 ÷ 6 − 2?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 14 − 14 × 7?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 18 + 3 × 7?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 8 ÷ 16 − 3?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 16 − 18 + 7?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 8 × 6 ÷ 10?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 16 ÷ 8 − 15?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 17 ÷ 18 + 10?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 6 + 3 × 16?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 16 + 20 − 5?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 16 + 17 − 17?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 8 − 7 × 4?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 12 − 6 ÷ 5?

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