Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 776 · 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 × 3 − 8 + 18?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 5 − 12 ÷ 5?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 10 ÷ 19 × 10?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 20 × 16 ÷ 7?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 3 − 7 × 7?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 7 ÷ 16 − 19?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 18 × 15 − 13?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 11 ÷ 7 × 15?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 2 ÷ 3 − 14?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 20 × 2 + 18?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 16 × 20 + 2?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 8 − 20 × 5?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 19 ÷ 6 × 10?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 18 + 19 − 3?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 19 + 9 × 16?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 14 ÷ 2 × 19?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 14 ÷ 10 × 13?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 6 + 3 − 15?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 6 − 6 + 18?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 2 + 16 × 19?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 7 + 2 − 6?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 14 + 5 × 7?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 2 − 2 × 15?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 4 ÷ 8 + 8?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 4 − 10 + 4?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 5 × 19 + 10?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 19 + 19 ÷ 15 × 14?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 2 ÷ 10 + 12?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 5 − 14 × 5?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 4 ÷ 3 × 18?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 19 − 10 + 7?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 4 × 4 ÷ 12?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 2 − 16 + 8?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 17 × 2 − 2?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 11 + 11 × 9 − 18?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 14 + 6 − 12?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 14 − 12 × 2?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 18 − 5 + 15?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 6 ÷ 2 + 17?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 8 − 4 × 8?

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