Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 650 · 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 19 + 18 × 16 ÷ 4?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 13 × 12 − 20?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 7 × 3 ÷ 4?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 16 ÷ 18 × 7?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 14 + 15 ÷ 15?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 15 − 4 + 10?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 4 ÷ 13 + 14?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 9 − 10 ÷ 9?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 20 + 4 × 20?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 4 ÷ 17 × 17?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 16 − 4 ÷ 2?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 2 × 3 + 10?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 10 × 5 ÷ 11?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 9 ÷ 18 × 14?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 20 + 7 − 10?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 18 − 11 ÷ 14?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 14 + 16 × 16?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 19 × 11 ÷ 5?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 16 × 2 + 2?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 3 ÷ 2 + 7?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 18 × 8 ÷ 15?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 15 ÷ 16 + 16?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 4 × 15 + 5?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 8 × 7 ÷ 18?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 15 − 17 + 6?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 11 + 11 − 16?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 20 × 5 ÷ 7?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 ÷ 18 − 12?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 10 − 11 × 4?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 5 − 19 × 19?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 5 + 5 × 6?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 18 × 10 ÷ 16?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 10 − 10 ÷ 3?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 5 − 5 ÷ 18?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 2 + 18 × 17?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 17 × 12 − 2?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 18 + 4 − 6?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 9 + 9 − 6?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 14 × 15 − 3?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 20 × 15 ÷ 12?

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