Symbol Substitution Worksheet

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

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