Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 603 · 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 ÷ 6 + 4 × 8?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 18 ÷ 20 × 11?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 6 × 17 ÷ 3?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 20 + 13 ÷ 3?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 11 ÷ 12 × 12?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 14 ÷ 3 − 4?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 14 − 9 + 2?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 4 ÷ 6 × 20?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 18 ÷ 12 + 15?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 20 ÷ 11 − 6?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 18 × 6 ÷ 11?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 10 + 3 − 2?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 12 ÷ 12 × 17?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 9 − 15 ÷ 16?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 11 × 2 ÷ 14?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 15 − 6 + 18?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 4 − 7 × 5?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 9 × 9 ÷ 8?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 17 + 8 ÷ 2?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 2 × 16 ÷ 3?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 15 ÷ 12 − 15?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 6 ÷ 3 + 3?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 12 × 9 + 6?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 4 + 16 − 4?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 20 ÷ 18 × 2?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 7 − 16 × 5?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 17 + 17 × 19?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 18 + 7 × 5?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 6 ÷ 18 × 2?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 18 − 13 + 12?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 15 ÷ 8 + 2?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 6 ÷ 15 × 8?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 × 4 ÷ 7?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 16 × 6 ÷ 4?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 12 − 4 × 9?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 13 − 3 × 20?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 15 ÷ 8 × 10?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 19 − 19 ÷ 3 × 13?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 8 + 13 × 8?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 20 − 9 × 3?

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