Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 573 · 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 + 7 − 19 ÷ 12?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 20 − 7 + 7?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 20 × 17 − 17?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 × 19 ÷ 5?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 11 − 3 ÷ 17?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 16 × 9 ÷ 10?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 18 × 6 ÷ 14?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 10 + 4 ÷ 3?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 5 + 19 × 18?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 9 ÷ 5 + 11?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 15 + 15 ÷ 10?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 8 × 19 + 19?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 2 ÷ 14 + 20?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 9 − 10 + 13?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 3 + 6 × 18?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 16 × 6 + 2?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 15 + 15 − 13?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 8 − 8 ÷ 9?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 2 − 14 ÷ 8?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 − 11 × 7?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 − 13 × 13?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 18 + 3 ÷ 11?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 11 × 3 ÷ 3?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 13 ÷ 2 + 20?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 9 + 10 − 18?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 20 + 20 × 8?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 8 ÷ 7 × 15?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 4 × 12 + 4?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 3 ÷ 14 + 7?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 6 × 9 − 9?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 3 + 16 − 16?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 2 ÷ 13 + 9?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 20 − 10 + 10?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 11 − 2 ÷ 13?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 20 ÷ 15 − 6?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 2 − 11 + 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 6 × 3 + 7?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 17 × 2 ÷ 4?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 2 ÷ 10 × 14?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 14 × 13 + 2?

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