Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 562 · 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 12 × 2 ÷ 13 − 7?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 2 − 20 ÷ 9?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 4 ÷ 7 + 5?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 18 − 4 + 20?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 20 × 18 ÷ 14?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 9 − 8 × 14?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 18 − 5 × 9?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 19 ÷ 13 + 12?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 6 + 5 − 5?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 20 − 9 ÷ 17?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 18 + 19 − 2?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 18 − 9 × 7?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 9 × 9 + 10?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 14 ÷ 18 − 16?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 2 ÷ 4 − 13?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 9 × 12 − 6?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 15 × 20 ÷ 9?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 12 ÷ 17 − 6?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 9 − 4 + 2?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 19 × 2 − 9?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 18 ÷ 9 + 11?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 17 + 5 ÷ 17?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 5 − 5 ÷ 3?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 18 + 20 − 6?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 19 × 12 ÷ 13?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 12 ÷ 11 − 2?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 2 + 6 × 16?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 2 ÷ 7 + 12?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 19 × 15 ÷ 10?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 9 ÷ 20 − 15?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 18 × 10 + 9?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 4 ÷ 11 − 13?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 3 − 3 + 2 ÷ 15?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 20 − 4 + 15?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 3 + 9 ÷ 16?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 ÷ 18 × 4?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 10 × 5 ÷ 3?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 18 − 4 + 4?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 17 ÷ 5 + 15?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 4 ÷ 6 × 18?

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