Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 140 · 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 − 15 ÷ 5 × 5?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 3 × 10 ÷ 20?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 4 ÷ 6 + 14?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 9 × 2 ÷ 6?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 10 ÷ 19 + 9?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 20 ÷ 3 × 5?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 × 2 ÷ 4 − 16?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 9 × 14 ÷ 6?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 8 − 16 ÷ 7?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 4 − 18 × 5?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 15 ÷ 16 − 20?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 8 ÷ 17 × 8?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 3 ÷ 13 × 12?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 17 × 17 ÷ 2?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 5 + 10 − 12?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 20 + 20 × 14?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 7 − 5 ÷ 11?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 15 × 11 ÷ 7?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 18 − 20 × 19?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 9 ÷ 9 × 3?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 19 ÷ 6 + 2?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 20 × 17 ÷ 8?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 3 ÷ 4 × 5?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 14 + 17 × 4?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 4 × 14 + 2?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 3 × 6 ÷ 14?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 18 + 18 − 6?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 11 + 12 − 3?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 14 × 4 ÷ 14?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 18 × 8 ÷ 18?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 3 + 18 × 15?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 12 ÷ 16 × 6?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 14 + 10 − 10?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 7 + 10 ÷ 19?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 12 × 4 ÷ 6?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 9 ÷ 6 + 7?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 4 − 6 ÷ 8?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 5 − 6 + 20?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 10 ÷ 16 − 16?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 18 ÷ 2 + 10?

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