Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 874 · 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 + 9 ÷ 19 − 9?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 6 × 6 ÷ 17?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 17 ÷ 12 + 4?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 3 + 3 × 15 − 6?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 3 ÷ 7 − 19?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 19 + 10 ÷ 8?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 10 ÷ 10 × 7?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 20 × 12 ÷ 5?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 15 + 5 − 15?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 5 − 15 ÷ 14?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 5 + 17 − 4?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 13 − 8 × 4?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 16 − 9 ÷ 5?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 6 ÷ 5 × 14?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 9 − 5 + 18?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 × 7 − 4?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 2 × 17 ÷ 10?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 19 × 15 ÷ 4?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 5 + 14 × 7?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 16 + 7 ÷ 16?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 14 − 3 ÷ 15?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 2 ÷ 4 + 8?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 6 × 4 ÷ 3?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 20 − 2 ÷ 3?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 12 × 13 + 20?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 9 − 6 ÷ 5?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 4 × 3 ÷ 13?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 16 ÷ 8 × 2?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 2 − 16 × 8?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 10 × 5 − 11?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 9 × 6 ÷ 8?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 2 − 2 × 14?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 15 × 10 ÷ 9?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 3 − 10 + 14?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 3 − 12 + 16?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 15 − 7 ÷ 14?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 4 ÷ 12 × 7?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 7 × 3 ÷ 9?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 6 + 7 ÷ 5?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 20 + 8 ÷ 11?

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