Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 399 · 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 12 ÷ 7 × 7 − 15?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 3 + 14 × 18?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 14 × 18 + 7?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 11 × 15 − 18?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 11 × 18 − 3?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 5 × 10 ÷ 9?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 4 + 6 − 2?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 2 × 14 ÷ 10?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 18 − 18 × 2?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 20 − 2 × 11?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 11 × 20 − 20?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 4 − 8 ÷ 10?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 9 × 14 ÷ 12?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 11 − 12 + 10?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 6 + 12 − 6?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 8 − 15 + 18?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 10 − 2 + 4?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 8 ÷ 17 × 16?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 3 − 12 × 4?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 10 − 5 × 3?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 2 + 2 ÷ 2?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 6 − 2 ÷ 5?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 15 + 20 − 2?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 16 ÷ 12 + 18?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 19 ÷ 6 + 3?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 7 + 7 ÷ 6?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 13 + 11 × 3?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 13 ÷ 9 × 4?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 17 − 12 × 12?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 6 ÷ 13 − 6?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 14 × 2 + 17?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 15 + 7 ÷ 3?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 12 − 9 ÷ 5?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 19 ÷ 12 − 18?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 13 + 12 ÷ 6?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 14 − 3 + 13?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 13 + 13 × 9?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 18 − 3 ÷ 3?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 3 ÷ 18 + 17?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 15 − 13 × 10?

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