Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 602 · 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 14 ÷ 12 × 14 − 8?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 12 + 4 × 13?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 18 × 12 ÷ 5?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 2 + 3 − 2?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 12 + 2 − 12?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 4 − 19 × 19?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 15 ÷ 4 + 10?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 3 + 12 × 10?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 11 + 2 ÷ 10?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 12 ÷ 19 − 3?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 2 × 14 + 2?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 14 × 6 ÷ 14?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 4 ÷ 19 × 8?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 7 − 7 × 8?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 5 × 6 ÷ 11?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 13 − 13 + 17 ÷ 17?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 16 + 15 × 7?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 12 ÷ 16 × 3?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 10 + 4 × 15?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 10 + 9 ÷ 12?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 12 ÷ 18 × 18?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 2 − 19 × 12?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 14 + 7 × 3?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 8 ÷ 7 × 8?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 10 + 5 × 15?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 3 × 6 ÷ 14?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 8 − 2 × 15?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 7 × 19 ÷ 7?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 2 + 2 ÷ 2?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 15 × 14 ÷ 16?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 13 ÷ 7 × 4?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 5 + 15 × 2?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 15 ÷ 17 × 17?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 15 ÷ 7 × 17?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 11 ÷ 3 − 11?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 13 + 8 × 4?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 20 × 3 ÷ 9?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 15 × 3 ÷ 15?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 3 ÷ 6 − 4?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 4 ÷ 6 × 5?

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