Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 636 · 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 13 ÷ 2 × 8 − 4?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 19 + 10 ÷ 3?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 15 − 18 + 3?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 18 + 9 × 3?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 2 + 5 ÷ 12?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 12 + 4 × 18?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 12 + 2 ÷ 4?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 4 − 4 + 13?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 7 ÷ 4 × 7?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 7 − 4 × 16?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 10 − 10 ÷ 5?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 5 ÷ 6 − 7?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 14 + 2 − 7?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 6 + 18 × 17?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 3 − 19 × 15?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 10 ÷ 5 × 5?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 10 ÷ 16 + 2?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 15 × 5 − 5?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 16 + 3 ÷ 2?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 17 ÷ 2 + 12?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 17 − 20 × 8?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 15 ÷ 7 + 15?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 7 + 7 ÷ 16 × 6?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 16 + 14 × 7?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 8 ÷ 11 × 2?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 3 ÷ 11 × 6?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 14 × 9 + 18?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 18 ÷ 13 − 2?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 7 ÷ 9 + 6?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 3 × 20 ÷ 18?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 20 − 15 + 10?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 4 + 3 × 8?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 7 − 11 × 6?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 2 − 18 + 7?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 12 ÷ 10 + 12?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 6 + 3 − 7?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 12 − 4 × 3?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 5 + 4 − 11?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 4 ÷ 2 + 12?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 7 − 3 ÷ 11?

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