Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 830 · 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 18 − 20 × 12 ÷ 8?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 7 − 14 × 4?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 2 ÷ 17 × 16?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 20 × 15 − 15?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 19 ÷ 17 + 19?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 15 − 3 × 12?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 14 ÷ 9 + 15?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 19 × 18 ÷ 7?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 18 − 3 + 10?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 4 − 5 + 3?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 16 × 17 + 3?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 19 + 13 ÷ 5?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 2 − 4 × 5?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 19 + 4 ÷ 13?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 8 × 15 − 10?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 2 × 8 ÷ 12?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 13 − 20 + 8?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 15 − 6 ÷ 6?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 2 + 19 × 18?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 20 ÷ 7 + 10?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 15 + 3 ÷ 4?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 15 × 17 ÷ 19?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 14 ÷ 11 + 4?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 5 × 14 ÷ 4?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 16 ÷ 17 × 2?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 19 × 3 − 14?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 15 − 18 × 4?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 2 − 10 × 2?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 20 ÷ 11 × 4?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 20 − 18 + 3?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 15 − 3 ÷ 15?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 12 × 4 + 13?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 15 ÷ 19 − 20?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 19 − 19 ÷ 3?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 16 × 8 + 15?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 7 × 2 ÷ 18?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 7 × 2 ÷ 7?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 5 − 2 ÷ 17?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 4 × 6 + 4?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 4 − 3 ÷ 13?

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