Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 770 · 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 ÷ 8 × 15 − 5?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 9 ÷ 6 − 13?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 8 + 5 ÷ 6?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 15 − 18 + 18?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 18 × 7 − 18?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 16 + 18 − 5?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 5 ÷ 17 + 19?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 9 − 3 ÷ 18?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 10 × 8 ÷ 6?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 2 + 15 − 16?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 20 + 15 − 5?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 19 + 18 × 3?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 17 + 5 × 15?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 6 × 16 + 4?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 12 ÷ 13 × 20?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 12 × 6 + 12?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 14 ÷ 13 + 13?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 4 ÷ 4 − 19?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 8 − 4 ÷ 20?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 4 ÷ 20 − 12?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 3 ÷ 18 − 11?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 17 + 9 ÷ 11?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 2 ÷ 14 − 19?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 + 6 × 7?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 14 × 2 ÷ 18?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 17 × 9 ÷ 3?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 6 − 2 × 16?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 19 − 19 + 14?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 16 + 16 × 15?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 17 ÷ 9 × 3?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 8 ÷ 11 × 10?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 11 × 18 + 5?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 8 − 2 ÷ 15?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 4 ÷ 6 + 15?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 2 × 8 − 2?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 7 − 6 + 20?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 6 ÷ 12 + 18?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 19 × 20 − 6?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 ÷ 8 − 20?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 2 × 19 ÷ 14?

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