Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 407 · 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 10 − 4 × 9 ÷ 3?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 12 × 2 ÷ 20?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 5 − 19 ÷ 16?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 16 × 16 ÷ 3?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 12 ÷ 2 + 3?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 16 ÷ 2 × 12?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 2 + 10 × 15?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 9 ÷ 3 − 11?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 18 × 12 + 3?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 2 + 2 × 9?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 15 + 20 × 16?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 4 ÷ 2 + 4?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 16 ÷ 7 × 18?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 16 ÷ 3 − 12?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 5 + 4 ÷ 8?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 3 + 18 × 3?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 5 − 3 ÷ 8?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 12 × 16 − 17?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 17 − 2 ÷ 17?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 7 ÷ 19 × 3?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 8 + 8 × 5?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 3 + 19 × 20?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 16 ÷ 20 + 4?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 16 + 6 ÷ 8?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 4 × 19 ÷ 9?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 12 ÷ 5 − 7?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 19 ÷ 15 × 20?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 12 + 12 × 5?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 20 − 17 ÷ 2?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 12 − 5 ÷ 7?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 2 − 16 × 18?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 6 ÷ 18 − 12?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 12 × 19 − 10?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 5 − 13 × 13?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 12 + 19 × 17?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 × 11 − 11?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 19 + 12 ÷ 18?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 20 × 20 ÷ 11?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 17 + 17 × 2 − 10?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 8 × 2 − 15?

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