Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 183 · 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 + 16 ÷ 16 − 4?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 2 ÷ 16 × 4?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 6 ÷ 12 − 3?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 3 ÷ 7 − 14?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 12 ÷ 18 − 9?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 18 ÷ 16 + 3?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 15 − 5 ÷ 7?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 11 + 20 − 4?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 5 − 18 + 15?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 10 ÷ 18 − 2?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 2 − 11 + 3?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 7 ÷ 5 × 19?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 14 × 10 ÷ 17?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 18 − 17 ÷ 10?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 8 ÷ 2 + 7?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 13 ÷ 6 × 11?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 5 + 17 − 4?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 16 − 2 × 2?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 6 + 6 × 6?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 16 + 16 − 19?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 16 ÷ 15 × 6?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 10 × 8 − 8?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 20 ÷ 16 × 13?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 11 − 4 + 2?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 6 − 11 ÷ 4?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 18 + 7 ÷ 6?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 3 ÷ 18 − 15?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 2 − 11 × 11?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 6 + 8 × 4?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 7 − 4 + 15?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 8 + 19 ÷ 2?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 8 − 12 × 4?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 7 − 7 × 5 + 9?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 15 + 15 × 15?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 4 ÷ 19 × 19?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 19 ÷ 13 + 2?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 13 ÷ 18 − 2?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 12 + 2 − 9?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 20 ÷ 12 − 3?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 7 + 5 × 3?

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