Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 598 · 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 8 ÷ 17 − 4 × 8?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 2 × 15 − 13?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 14 + 16 − 16?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 3 ÷ 4 × 12?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 9 × 19 ÷ 9?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 20 − 19 × 14?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 19 − 2 × 17?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 2 ÷ 4 − 11?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 13 + 15 × 10?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 18 − 19 ÷ 12?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 20 × 2 − 6?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 16 + 3 ÷ 10?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 3 + 5 ÷ 19?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 11 ÷ 11 − 9?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 11 ÷ 20 × 7?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 18 + 18 ÷ 16?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 11 × 5 + 20?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 6 + 3 ÷ 3?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 8 × 3 + 16?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 15 + 17 × 9?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 8 + 19 ÷ 6?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 × 7 − 16?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 14 ÷ 8 − 18?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 17 − 10 ÷ 6?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 5 − 20 ÷ 9?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 20 − 8 + 2?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 7 ÷ 12 + 19?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 11 × 7 ÷ 15?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 20 ÷ 7 + 8?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 7 × 8 − 7?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 5 × 20 ÷ 19?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 12 × 20 ÷ 19?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 7 − 18 ÷ 17?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 20 − 10 × 18?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 3 + 6 ÷ 2?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 7 − 11 ÷ 6?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 11 + 11 − 10?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 15 − 9 + 14?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 6 − 17 ÷ 14?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 13 ÷ 2 + 9?

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