Symbol Substitution Worksheet

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

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