Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 761 · 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 17 × 15 ÷ 13 + 3?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 17 × 17 ÷ 10?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 14 − 2 ÷ 11?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 4 + 4 × 19?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 4 − 4 + 4?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 16 + 16 − 4?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 11 + 2 − 17?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 11 ÷ 19 − 4?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 20 ÷ 4 × 4?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 4 ÷ 20 × 4?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 18 − 12 × 3?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 6 − 4 × 4?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 9 ÷ 12 − 5?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 4 − 4 × 4?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 19 × 2 + 6?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 13 × 9 ÷ 4?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 6 ÷ 18 − 6?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 3 − 8 + 3?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 16 ÷ 11 − 12?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 9 + 19 ÷ 8?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 15 × 4 − 3?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 6 ÷ 2 × 18?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 4 − 2 ÷ 18?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 5 + 18 × 2?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 8 ÷ 13 × 18?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 3 × 2 ÷ 20?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 19 − 10 ÷ 17?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 8 ÷ 5 × 5?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 2 − 17 × 20?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 15 ÷ 3 × 11?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 7 + 4 ÷ 12?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 10 − 6 ÷ 16?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 13 + 13 − 7 ÷ 11?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 11 ÷ 5 × 5?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 11 ÷ 4 × 8?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 18 × 2 ÷ 19?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 2 − 2 × 2?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 3 ÷ 5 × 11?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 8 − 14 ÷ 12?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 2 − 5 ÷ 14?

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