Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 797 · 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 + 14 − 18 × 6?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 4 ÷ 3 − 2?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 18 × 3 − 11?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 16 − 12 + 2?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 10 − 20 ÷ 2?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 10 × 20 − 4?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 14 − 2 + 16?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 3 ÷ 2 × 17?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 17 ÷ 6 × 5?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 14 ÷ 17 − 15?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 15 + 3 × 17?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 4 ÷ 5 × 2?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 18 ÷ 9 × 10?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 8 − 3 × 3?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 3 + 6 ÷ 14?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 11 ÷ 12 × 13?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 9 − 11 + 4?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 10 ÷ 18 × 10?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 20 × 4 + 13?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 15 − 3 ÷ 11?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 10 ÷ 13 × 10?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 20 ÷ 13 + 20?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 2 − 16 + 4?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 15 × 18 − 6?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 12 − 20 + 6?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 3 − 10 ÷ 9?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 5 ÷ 17 × 19?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 6 ÷ 3 − 6?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 10 ÷ 13 − 12?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 5 × 15 ÷ 8?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 ÷ 6 − 4?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 4 ÷ 10 − 10?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 17 × 2 ÷ 7?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 13 ÷ 12 + 18?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 17 − 7 × 17?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 3 ÷ 9 × 11?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 4 − 6 × 3?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 4 − 13 × 4?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 3 × 6 ÷ 19?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 6 + 14 × 7?

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