Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 163 · 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 − 9 ÷ 13 × 14?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 14 + 2 ÷ 8?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 5 + 3 ÷ 2?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 8 ÷ 2 × 2?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 7 × 11 − 5?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 17 × 3 + 3?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 8 ÷ 6 × 7?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 17 ÷ 7 × 10?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 2 − 16 + 13?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 6 ÷ 15 − 10?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 18 − 17 × 17?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 17 × 9 ÷ 19?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 20 + 17 × 17?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 10 + 7 − 19?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 20 + 4 − 14?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 18 ÷ 16 × 4?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 5 × 4 ÷ 3?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 3 + 9 ÷ 19?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 12 − 4 ÷ 14?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 2 − 16 ÷ 4?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 14 + 17 × 5?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 17 − 12 × 3?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 7 − 5 + 15?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 17 × 6 ÷ 20?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 2 − 4 + 4?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 12 + 12 ÷ 8?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 14 ÷ 5 − 7?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 6 − 11 ÷ 15?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 12 + 7 − 7?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 7 − 19 ÷ 13?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 18 − 3 × 20?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 8 × 4 − 2?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 4 ÷ 6 × 2?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 16 + 18 − 11?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 6 − 10 + 2?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 16 ÷ 16 + 8?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 2 ÷ 19 × 16?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 7 × 5 + 5?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 3 − 7 ÷ 5?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 14 × 14 − 11?

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