Symbol Substitution Worksheet

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

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