Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 735 · 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 16 − 3 × 12 ÷ 16?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 20 × 20 ÷ 8?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 3 − 16 + 12?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 3 + 10 × 3?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 5 − 10 ÷ 14?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 20 × 19 + 7?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 12 × 2 + 5?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 15 ÷ 4 + 12?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 15 × 19 − 3?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 3 × 9 ÷ 5?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 3 + 3 ÷ 2?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 8 + 11 ÷ 2?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 18 ÷ 9 − 18?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 7 − 11 × 7?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 18 ÷ 9 + 9?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 8 ÷ 4 + 8?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 2 − 14 + 4?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 12 + 12 × 16?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 17 × 10 ÷ 7?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 20 + 3 ÷ 9?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 9 × 10 ÷ 18?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 17 ÷ 2 + 19?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 8 × 15 + 3?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 19 − 19 × 8 ÷ 3?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 18 ÷ 5 − 2?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 7 + 15 − 16?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 4 ÷ 4 + 15?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 13 × 18 ÷ 11?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 4 ÷ 11 + 7?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 9 − 11 + 9?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 11 × 10 − 3?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 19 + 9 ÷ 16?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 7 + 12 × 11?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 6 − 8 × 20?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 4 − 2 × 18?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 10 + 2 ÷ 14?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 20 × 4 ÷ 3?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 11 ÷ 10 − 15?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 15 − 8 + 14?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 2 − 15 × 19?

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