Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 147 · 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 + 3 × 18 ÷ 12?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 4 ÷ 17 × 10?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 8 ÷ 8 − 8?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 15 − 2 ÷ 14?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 5 × 4 − 20?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 13 ÷ 10 − 5?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 3 × 9 − 13?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 7 + 19 − 20?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 17 ÷ 3 × 7?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 3 − 19 + 11?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 3 + 16 × 20?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 9 − 3 ÷ 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 17 ÷ 13 − 13?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 7 + 18 × 3?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 9 + 5 ÷ 19?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 17 + 7 − 12?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 12 − 6 × 8?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 3 ÷ 12 × 12?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 4 ÷ 14 − 14?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 11 + 15 ÷ 3?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 2 + 8 − 2?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 18 ÷ 5 × 8?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 20 + 7 − 13?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 11 − 7 × 4?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 18 ÷ 13 × 8?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 4 − 7 ÷ 16?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 4 ÷ 10 × 3?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 10 × 5 + 7?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 4 + 6 − 6?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 2 + 20 − 8?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 7 ÷ 20 + 4?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 12 − 12 + 18?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 5 ÷ 13 × 11?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 11 × 12 − 4?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 10 − 2 ÷ 3?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 15 − 4 ÷ 15?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 15 × 3 + 7?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 2 ÷ 2 − 18?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 19 ÷ 6 + 5?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 19 × 3 ÷ 17?

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