Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 70 · 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 20 + 14 − 20 ÷ 7?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 19 ÷ 7 + 15?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 6 ÷ 6 − 10?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 16 − 9 + 20?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 12 − 4 × 16?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 7 ÷ 16 × 4?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 2 + 4 ÷ 4?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 9 + 20 × 10?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 9 − 2 ÷ 2?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 3 × 5 ÷ 3?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 2 + 3 ÷ 18?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 18 × 3 + 14?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 12 ÷ 16 + 7?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 3 ÷ 8 + 2?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 20 × 17 ÷ 3?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 3 + 2 × 9?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 3 + 3 ÷ 6 − 20?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 4 − 6 + 6?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 5 × 16 + 18?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 19 × 6 − 17?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 14 − 13 × 5?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 2 ÷ 9 + 8?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 3 + 2 × 14?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 14 ÷ 9 − 2?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 6 × 15 ÷ 2?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 2 × 3 − 4?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 16 + 4 ÷ 4?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 6 − 7 + 20?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 16 + 16 × 16?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 18 × 15 ÷ 19?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 11 ÷ 18 + 9?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 9 × 19 ÷ 2?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 10 − 6 + 12?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 14 ÷ 12 − 6?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 13 × 3 + 5?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 4 + 2 × 15?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 6 × 17 − 10?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 6 + 14 ÷ 15?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 12 × 2 − 13?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 10 ÷ 7 × 12?

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