Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 599 · 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 7 ÷ 11 − 8 + 2?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 11 + 6 × 3?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 18 ÷ 12 × 4?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 4 × 4 ÷ 19?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 6 + 6 × 5?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 6 × 17 ÷ 5?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 20 + 14 × 7?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 7 × 5 − 13?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 6 ÷ 4 − 15?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 13 ÷ 6 + 18?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 2 + 3 ÷ 3?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 15 + 3 − 14?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 16 − 18 + 4?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 18 × 8 + 6?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 20 − 3 ÷ 12?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 20 + 5 × 19?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 14 + 2 ÷ 2?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 6 × 5 ÷ 19?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 13 − 5 + 17?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 19 ÷ 5 − 12?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 20 + 5 × 20?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 6 + 19 ÷ 12?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 3 × 10 ÷ 4?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 6 ÷ 20 − 11?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 12 × 2 ÷ 6?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 7 × 14 ÷ 18?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 8 ÷ 6 − 2?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 19 ÷ 10 + 10?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 16 ÷ 9 + 3?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 10 + 12 − 15?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 17 × 15 ÷ 14?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 15 + 15 − 9?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 6 ÷ 8 + 18?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 9 ÷ 10 + 5?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 13 + 9 ÷ 10?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 10 − 6 + 2?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 13 + 7 ÷ 11?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 5 + 18 − 2?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 16 + 16 − 13?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 19 ÷ 11 − 18?

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