Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 632 · 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 3 − 8 × 11 ÷ 16?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 4 − 15 × 3?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 8 + 10 ÷ 5?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 19 − 12 ÷ 18?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 10 × 4 + 2?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 6 × 7 ÷ 15?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 3 − 9 ÷ 3?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 15 ÷ 20 × 9?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 2 − 5 ÷ 7?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 16 + 8 − 16?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 14 ÷ 2 − 14?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 5 − 18 × 6?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 17 ÷ 8 + 20?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 8 × 3 − 2?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 13 × 8 ÷ 13?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 18 − 4 + 5?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 20 ÷ 15 − 13?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 6 − 15 ÷ 15?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 17 ÷ 20 − 5?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 12 × 20 + 10?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 7 × 3 − 5?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 5 − 15 × 17?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 16 − 16 + 11?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 19 ÷ 6 − 15?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 17 − 14 ÷ 4?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 14 ÷ 10 × 5?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 6 × 20 − 6?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 11 × 7 − 7?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 14 − 11 ÷ 3?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 10 + 2 − 10?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 5 − 4 × 10?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 8 × 5 ÷ 11?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 12 + 2 − 12?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 20 ÷ 19 × 5?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 5 − 5 + 17?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 12 − 12 + 9?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 8 + 2 − 16?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 12 × 15 − 3?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 19 × 2 + 15?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 15 − 15 ÷ 5?

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