Symbol Substitution Worksheet

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

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