Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 528 · 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 7 × 8 ÷ 2 + 12?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 16 ÷ 5 + 4?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 10 ÷ 8 × 6?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 3 − 6 ÷ 12?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 2 ÷ 19 × 8?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 18 + 9 ÷ 4?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 ÷ 3 − 15?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 11 − 19 ÷ 3?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 9 × 7 − 14?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 7 − 4 ÷ 2?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 ÷ 12 × 10?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 15 × 4 ÷ 14?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 10 + 5 ÷ 17?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 11 ÷ 14 × 11?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 16 × 14 − 6?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 4 × 10 + 17?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 17 − 20 ÷ 13?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 20 ÷ 6 + 5?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 18 ÷ 17 + 14?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 5 − 9 ÷ 5?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 8 + 3 ÷ 15?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 18 × 9 + 16?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 17 × 3 + 10?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 15 × 2 ÷ 3?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 13 ÷ 15 − 20?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 19 ÷ 9 × 19?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 11 ÷ 5 × 14?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 18 ÷ 10 × 13?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 18 − 16 ÷ 11?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 × 7 ÷ 8?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 2 − 15 ÷ 18?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 17 × 8 ÷ 11?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 7 + 5 − 7?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 2 × 3 − 3?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 11 − 9 + 9?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 14 − 2 ÷ 20?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 4 − 5 × 4?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 7 − 16 + 17?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 6 − 3 + 13?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 11 ÷ 14 × 13?

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