Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 133 · 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 × 10 − 6 ÷ 14?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 8 + 3 − 16?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 2 ÷ 11 − 11?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 18 ÷ 5 + 6?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 15 + 15 − 14?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 ÷ 20 − 17?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 10 + 15 × 12?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 10 ÷ 20 + 10?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 4 × 10 + 6?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 20 − 15 ÷ 18?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 10 − 5 × 2?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 7 − 5 ÷ 7?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 5 − 20 × 4?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 9 − 16 + 9?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 18 − 5 ÷ 18?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 14 − 4 ÷ 8?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 14 × 11 ÷ 18?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 8 − 15 ÷ 15?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 3 − 6 × 13?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 2 ÷ 12 + 12?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 19 × 19 − 11?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 7 + 7 − 7 ÷ 12?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 18 − 5 ÷ 16?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 6 − 16 × 2?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 2 − 6 ÷ 2?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 10 × 3 ÷ 6?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 10 + 16 ÷ 2?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 18 × 12 − 4?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 8 ÷ 15 + 14?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 18 + 15 × 15?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 13 + 6 − 13?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 12 × 17 ÷ 5?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 15 × 15 − 4?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 9 ÷ 6 + 18?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 20 − 12 + 8?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 18 + 9 × 6?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 18 − 6 ÷ 15?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 10 ÷ 11 × 14?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 3 ÷ 12 + 4?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 19 − 16 ÷ 16?

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