Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 375 · 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 2 ÷ 8 − 2 × 17?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 12 − 13 ÷ 13?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 17 ÷ 6 − 7?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 8 + 14 ÷ 2?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 2 ÷ 7 + 6?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 19 + 16 − 8?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 18 × 13 − 13?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 5 + 15 × 20?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 12 − 12 × 14?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 15 − 15 ÷ 3?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 6 × 6 ÷ 11?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 20 − 15 + 19?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 8 × 3 + 3?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 7 + 16 × 8?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 16 ÷ 5 − 5?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 12 − 9 ÷ 9?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 15 + 6 − 15?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 11 × 19 − 17?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 15 + 18 ÷ 17?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 8 − 10 ÷ 10?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 17 × 13 ÷ 13?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 9 + 9 ÷ 8?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 10 ÷ 14 × 4?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 9 − 3 + 9?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 6 + 16 − 4?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 13 × 17 ÷ 6?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 11 + 12 − 16?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 6 ÷ 2 − 2?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 7 − 14 × 13?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 18 + 2 − 2?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 6 + 8 ÷ 3?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 16 − 6 ÷ 18?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 10 ÷ 9 + 3?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 15 − 12 ÷ 5?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 16 × 17 + 20?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 12 + 6 × 15?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 18 ÷ 2 − 9?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 5 × 6 + 3?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 9 × 20 − 4?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 7 ÷ 20 + 2?

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