Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 454 · 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 20 × 7 + 17 − 7?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 9 ÷ 8 × 20?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 6 ÷ 19 × 3?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 19 − 9 × 4?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 2 + 10 × 15?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 2 ÷ 11 × 17?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 6 ÷ 6 + 12?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 3 ÷ 12 + 3?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 9 + 9 × 6?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 20 + 20 × 17?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 8 ÷ 12 − 20?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 18 + 15 × 5?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 9 × 19 − 19?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 4 ÷ 5 − 6?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 15 ÷ 18 × 12?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 14 + 20 − 13?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 6 ÷ 19 + 3?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 7 × 12 − 2?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 14 + 13 − 2?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 10 + 4 ÷ 5?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 8 × 11 + 5?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 2 + 2 − 2?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 12 × 18 + 4?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 19 ÷ 8 − 16?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 9 × 3 ÷ 19?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 16 ÷ 4 + 20?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 11 − 14 + 10?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 19 − 3 ÷ 15?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 10 − 15 ÷ 4?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 20 × 4 ÷ 6?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 5 − 7 × 2?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 20 × 5 ÷ 4?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 13 − 13 + 17?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 19 − 19 × 10?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 7 ÷ 5 × 12?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 12 − 19 ÷ 3?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 2 ÷ 12 − 3?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 14 ÷ 10 + 9?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 10 × 2 ÷ 2?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 18 − 2 + 6?

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