Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 117 · 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 5 − 6 ÷ 18 × 5?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 15 × 2 + 6?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 15 × 16 ÷ 19?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 3 ÷ 6 − 11?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 19 + 12 × 12?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 3 − 16 ÷ 11?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 12 × 13 ÷ 4?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 7 − 17 ÷ 17?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 15 ÷ 6 × 5?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 17 × 17 − 15?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 3 + 6 × 3?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 5 + 7 × 11?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 4 − 6 ÷ 9?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 ÷ 9 − 4?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 20 × 8 − 5?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 11 ÷ 14 × 4?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 4 − 2 ÷ 6?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 18 ÷ 4 + 13?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 17 − 12 ÷ 9?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 16 + 8 × 7?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 12 − 17 ÷ 18?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 7 − 13 ÷ 8?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 15 × 12 + 3?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 13 × 2 ÷ 2?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 2 + 10 − 4?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 8 + 16 × 2?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 2 + 10 × 5?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 16 + 12 − 2?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 20 − 9 ÷ 19?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 11 − 11 × 15?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 4 ÷ 15 − 19?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 10 × 3 + 2?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 11 + 11 − 19?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 14 ÷ 3 × 14?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 9 − 6 + 2?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 2 × 15 − 15?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 2 × 19 + 2?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 4 − 2 ÷ 3?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 18 − 17 ÷ 15?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 20 × 6 ÷ 14?

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